15-imita | impar-sylla | syste-yield
Part, §
501 Text, XLIX | advice you have so freely imparted to me: but, as you think
502 Text, VIII | breath. Considering how impatient all mankind are when their
503 Text, XLV | general Ideas (P. 74). This implies that I hold there are no
504 Text, XLII | only a piece of skill to impose upon your Reader. If you
505 App, III | recommend it to them, not to be imposed on by hard words and magisterial
506 Text, XLI | how all this is a manifest imposition upon the Reader. He must
507 Text, XII | as making them pass for imposters. If I publish my free thoughts,
508 Text, XXI | man, as a Deceiver and an Impostor. The Reader will judge how
509 Text, XX | considered is not at all improved or amended by any progress,
510 Text, XLII | Differences; and so most imprudently turn all your sallies and
511 Text, VII | pack of base profligate and impudent liars (P. 27). How far the
512 Text, VIII | paradoxes which render it inaccessible to most men, will be thought
513 Text, XXXI | with want of caution. ``Inasmuch (say you) as that quantity
514 Text, XXXIV | hard words: Since, as you incautiously deal them about, they may
515 Text, XLII | elsewhere, about yards and inches and decimal fractions, setting
516 App, III | the Analyst, sheweth no inclination to be catechised by me.
517 Text, XXI | long upon Principles, but inclining rather to take them upon
518 Text, XLVI | distinct idea of anything that includes a contradiction? For my
519 Text, XXXII | Lemma of that Section is incompatible with, and subversive of
520 Text, XLVIII | square, though the former be inconceivable. If the Reader will but
521 Text, XXXI | or decrement, is by you inconsiderately and arbitrarily, and without
522 Text, IX | IX. I observe upon the Inconsistency of certain Infidel Analysts.
523 Text, XLII | enough to be rejected without inconvenience in practice, the same may
524 Text, XXVI | the sensible or practical inconveniences thence arising, which, perchance
525 Text, XXVII | ending with igitur laterum incrementis totis a and b generatur
526 Text, XXXIV | science are of no weight with indifferent Readers; and as for Bigots,
527 Text, XI | intemperate Sallies, and the same Indignation against common Sense! ~
528 Text, XLVII | prescinds from the species or individuals comprehended under it. Thus,
529 Text, XXXVIII| fountains of Experiment, Induction, and Analogy, whence a man
530 Text, XIV | Such, for instance, are the Inductions of Doctor Wallis in his
531 Text, IX | that men should choose to indulge their passions, rather than
532 Text, XIX | sense of his principles. No industry nor caution nor attention,
533 Text, XXXIII | 58) ``a most palpable, inexcusable, and unpardonable blunder,''
534 Text, XLIII | explain what after all seemed inexplicable. ~
535 Text, XLVI | it is, whether we may not infer, that what may not possibly
536 Text, XLI | principles, and by such inferences.'' [NOTE: `Analyst,' Sect.
537 Text, XL | ceremony. And though he inferreth a conclusion accurately
538 Text, XXXIV | Analysis per æquationes infinitas (P. 20) where, in his preparation
539 Text, XIV | Wallis in his Arithmetic of Infinites, and such, what Harriot
540 Text, XXXII | and b to be diminished ad infinitum: and for proof of this,
541 Text, XLIX | small subdivided into an infinity of parts, a nascent or evanescent
542 Text, V | Mathematicians, who are influenced by a Regard for their Authority.
543 Text, XLIX | it becomes me rather to inform my self than instruct others,
544 Text, XLIX | I shall, for my farther information, take leave to propose a
545 Text, XXXII | difference, seems the most injudicious Step that could be taken:
546 Text, L | as cavils? And whether to inquire diligently into the meaning
547 Text, XLIV | and that the unprejudiced Inquirer after Truth may see, it
548 Text, XVI | put a stop to all future inquiries; Lastly, not considering
549 Text, XXXVII | Sir Isaac should alone be inserted. But I made my own remark
550 Text, XLI | of mistake, repeated and insisted that I consider the Geometrical
551 Text, XLII | fractions, setting forth and insisting on the extreme smallness
552 Text, XXIX | than AB, but at that very instant of time that it is AB.''
553 Text, XLIX | rather to inform my self than instruct others, I shall, for my
554 Text, XXXIII | much mistaken if it ever instructs or enlightens him. For,
555 Text, XXII | glosses, your reproaches and insults and outcries, I shall pass
556 Text, XXXVI | person of such a luminous intellect would be so good as to explain,
557 Text, XXVI | apology. Cave, saith he, intellexeris finitas. And, although Quantities
558 Text, XXXVI | of his Principles: Cave intelligas quantitates magnitudine
559 Text, XXXVIII| misapplied to Sir Isaac what was intended for the Marquis de l'Hospital
560 Text, XXVIII | decrement. Hence with an intention to puzzle me you propose
561 App, II | Isaac Newton had presumed to interpose in Prophecies and Revelations,
562 Text, XXXVI | proportions: and having interpreted them in what sense you will,
563 Text, XXXIV | is supposed to vanish, he interprets the word evanescere by esse
564 App, IV | closely pursued and beset with Interrogatories? That we may not, therefore
565 Text, XXX | his full freedom of mind intire, and not weakly suffer his
566 Text, XXXVIII| speak of driving out of intrenchments, of sallying and attacking
567 Text, XX | in these Studies, to use intrepidly their own judgement, without
568 Text, XXXVII | shifted. When new devices are introduced and substituted for others,
569 Text, V | whence you raise Topics for invective: But I say there are certain
570 Text, XVI | your mean Idolatry, you inveigh against me as a person conceited
571 Text, XV | think, by those arguments ad invidia which at every turn you
572 Text, XVIII | and place it in the most invidious Light. ~
573 Text, XXXVIII| strength of a Demonstration involving second or third Fluxions,
574 Text, L | cavilling? Whether there be an ipse dixit erected? And if so,
575 Text, L | in order to shew that the Irreligion of those men is not to be
576 Text, II | conduce to the Honour of this Island (P. 5), to lessen the Reputation
577 Text, XXIX | nomine momentorum intelligo: ita ut incrementa pro momentis
578 | its
579 Text, XXXIII | those words, evanescant jam augmenta illa, in rendering
580 Text, XLVIII | can be either separated or joined as you please, but ideas
581 Text, XIX | have always thought and judged for my self. And, as I never
582 Text, XXX | and not weakly suffer his judgment to be overborn by your imagination
583 Text, XXVI | controversy, and set your self to justifie Sir Isaac's method of getting
584 Text, XLI | your cause: How instead of justifying the Reasoning, the Logic
585 Text, XXVIII | desire the Reader always to keep the controverted point in
586 Text, II | Set of learned Men whose Labours so greatly conduce to the
587 Text, IX | or in Spain? Is this the language of a Familiar who is whispering
588 Text, XL | this comes about, I have at large explained in the Analyst,
589 Text, XXI | And if by vertue of some latent errour in his principles
590 Text, XXXVI | of his Principles: Ubi de lateribus A et B deerant momentorum
591 Text, XXVII | and ending with igitur laterum incrementis totis a and
592 Text, XV | and been altogether as laudable, if your highest ambition
593 Text, VI | resolve all into Faith, they laugh at us and our Faith: And
594 Text, XLVIII | banish, so far as in me lay, false principles and wrong
595 Text, XLVIII | at once to try, whether laying aside the words he can frame
596 Text, IX | them, Tros Rutulusve fuat, Laymen or Clergymen, &c. Let us
597 Text, XXI | with their reasonings do lead them into paradoxes and
598 Text, XXI | Science from others: And every learner hath a deference more or
599 Text, XXI | authority, especially the young learners, few of that kind caring
600 Text, XXXVII | intelligible. I was even led to say, that ``one would
601 Text, IV | suppose that I had not Leisure, or that I did not think
602 Text, XXIX | Princip. Phil. Nat. Lib. II, Lem. II.] I will not in your
603 Text, XXI | And this familiarity at length passeth for Evidence. Now
604 Text, XIII | go, but I cannot go the lengths that you do. I shall never
605 Text, VIII | than the criminal method of lessening or detracting from my opponents'' (
606 App, III | Author's performance, but lest he should imagine himself
607 Text, XVI | converting the Republick of Letters into an absolute monarchy,
608 Text, VII | profligate and impudent liars (P. 27). How far the Reader
609 Text, XLIII | the advice which you so liberally bestow. Believe me Sir,
610 Text, XXIII | fluxiones quantitatum nominare licet. And that he admits Fluxions
611 Text, XXXI | will, the Objections still lie and the Difficulties are
612 Text, VIII | and ornamental to Humane Life, from those subtilties,
613 | likely
614 Text, XLV | no consistent Idea, the likeness whereof may not really exist.
615 Text, XXXVI | semper diminuendas sine limite. If you say, an infinitesimal:
616 Text, XLVII | each restrained to a more limited signification. The same
617 App, IV | asked how the limits of lines can be proportioned or divided?
618 Text, VI | that I should enter the Lists with reasoning Infidels,
619 Text, V | Authority. Some perhaps, who live in the University, may not
620 Text, V | and observing Reader, who lives in the World, and is acquainted
621 Text, XXXIV | expression) stare us in the face. Lo! This is what you call (
622 Text, XII | me with authorities, and load me with envy. If I see a
623 Text, XLI | Geometrical Analyst as a Logician i.e. so far forth as he
624 Text, XLV | c. vii, § ix.] All this looks very like a Contradiction.
625 Text, XXX | of it, and being about to lose the other.'' Now, in the
626 Text, III | are, it seems, much at a loss to understand the Usefulness
627 Text, XV | highest ambition is in the lowest degree to imitate Sir Isaac
628 Text, XXXVI | glad, a person of such a luminous intellect would be so good
629 Text, XXXVII | the greatest genius might lye under the influence of false
630 Text, XXX | you do not consider AB as lying at either extremity of the
631 App, IV | Fluxions, by the Ratio of magnitudes infinitely diminished (P.
632 Text, XXXVI | Cave intelligas quantitates magnitudine determinatas, sed cogita
633 Text, XLIV | nothing new therein. Some maintain the clear conception of
634 Text, VII | characterize in those modest and mannerly terms. He assured me that
635 App, I | who hath copied even the manners of Philalethes, and whom
636 Text, XXXIX | unquestionable proof of the matchless contempt which you, Philalethes,
637 Text, XXV | Lib. i., Phil. Nat. Prin. Math.] And that the method of
638 Text, XXV | where he saith In rebus mathematicis errores quam minimi non
639 Text, XLIII | Believe me Sir, I had long and maturely considered the principles
640 Text, XLV | Knowledge printed in the Year MDCCX.] In opposition to which,
641 Text, XLIV | several (and those none of the meanest) frankly owned the objections
642 Text, XXVI | errours are in no wise to be measured by the sensible or practical
643 Text, L | and to proportion the just measures of assent according to the
644 Text, XXIV | accuracy of computing or measuring in practice, but concerning
645 Text, XXXVIII| cannot clearly conceive a medium between being fast asleep
646 Text, XXX | you do not understand. To mend the matter, you say, ``you
647 Text, XXXVIII| scruple, apply any proposition merely upon the strength of a Demonstration
648 Text, II | allowed, its full claim of Merit to whatever is useful and
649 App, IV | they are. So having put the merits of the cause on this issue,
650 Text, XLV | attack me on a point of Metaphysics, with what success the Reader
651 Text, XXXVII | of the Great Author. His methodus rationum primarum et ultimarum,
652 Text, XXXVIII| new-raised and undisciplined militia, and of veteran regular
653 Text, XXXV | You tell me indeed, in Miltonic verse that the fault is
654 Text, XLVIII | lies. Or, if the Reader is minded to make short work, he needs
655 Text, XXV | mathematicis errores quam minimi non sunt contemnendi. Which
656 Text, XLI | most absurdly about the minutest things. ~
657 Text, XXVIII | inference on him, rather by mirth and humour than by reasoning.
658 Text, XXXVIII| untruly said by you, who have misapplied to Sir Isaac what was intended
659 Text, XIX | it is not my fault but my misfortune. Upon other subjects you
660 Text, VI | Analysis, I own my self misinformed, and shall gladly be found
661 Text, XXVI | owned, that after you have misled and amused your less qualified
662 Text, XXXIV | I can easily pardon your mistakes. Though, indeed, you tell
663 Text, XLVIII | as it often happens, by mistaking the terms for ideas. Nothing
664 Text, XL | in practical Geometry or mixed Mathematics. But he rejects
665 Text, XXI | points or principles ever mixing with their reasonings do
666 Text, IX | Great Britain, or halloo the mob upon them to tear them to
667 Text, XIX | infallible. And a man of moderate parts, who takes this painful
668 Text, XXVIII | he understands either the momentaneous increment or decrement of
669 Text, XXIX | intelligo: ita ut incrementa pro momentis addititiis seu affirmativis,
670 Text, XVI | Letters into an absolute monarchy, that it is even introducing
671 Text, V | yield that Faith to a mere Mortal, which they deny to Jesus
672 Text, IX | tear them to pieces every Mother's son of them, Tros Rutulusve
673 Text, XXXVI | quantities themselves, or their motions, or their Velocities, or
674 Text, XXVII | with Rectangulum quodvis motu perpetuo auctum, and ending
675 Text, XXIII | decrementorum quas etiam, motus, mutationes & fluxiones
676 Text, XXIII | where his own words are, motuum vel incrementorum velocitates
677 Text, IX | Mathematics? that should move you to cry out Spain, Inquisition,
678 Text, VIII | be strongly shocked and moved, you cannot therefore conclude,
679 Text, XXVII | b, then the momentum vel mutatio geniti rectanguli AB will
680 Text, XXIII | decrementorum quas etiam, motus, mutationes & fluxiones quantitatum
681 Text, XXXII | consequently the velocities, mutations, or fluxions proportional
682 Text, I | endeavour so to unveil this Mystery, and put the Controversy
683 Text, XVI | purblind eye, in a close and narrow view, may discern more of
684 Text, XXIII | mathematical principles of natural Philosophy where he expresseth
685 Text, XIII | Mathematician, a profound Naturalist, a Person of the greatest
686 Text, XXI | is no more than one may naturally suppose, might befall a
687 Text, XVI | considering that this is to fix a ne plus ultra, to put a stop
688 Text, XXIX | decrementa pro subductitiis seu negativis habeantur. [NOTE: Princip.
689 App, III | imagine himself too much neglected, I entreat the Reader to
690 Text, VIII | passions and degenerate into a nest of Bigots. ~
691 Text, XXXVIII| and untenable works, of a new-raised and undisciplined militia,
692 | nine
693 Text, II | to depreciate one of the noblest Sciences, to disparage and
694 Text, XXIII | incrementorum velocitates nominando Fluxiones. See also the
695 Text, XXIII | fluxiones quantitatum nominare licet. And that he admits
696 Text, XX | employed in working, by notes and symbols, denoting the
697 App, I | he deserves no particular notice. It may suffice to advertise
698 Text, XLVIII | capital errour, productive of numberless difficulties and disputes,
699 Text, XXXIII | quantity or expression ~down to nxn-1, the very thing aimed at
700 Text, XXXIII | possibly be done so long as o is supposed a real Quantity?
701 Text, XXXI | Passage was that which I objected to, it was reasonable and
702 Text, XLI | how you demonstrate; what objects you are conversant about;
703 Text, XLV | saith, it must be neither oblique nor rectangular, neither
704 Text, XLVIII | say a round square as an oblong square, though the former
705 Text, VIII | from those subtilties, obscurities, and paradoxes which render
706 Text, V | but the intelligent and observing Reader, who lives in the
707 Text, XXVIII | owned, you endeavour to obtrude this inference on him, rather
708 Text, XXXIII | and become nothing, in the obvious sense, or let them become
709 Text, XLIX | reputation of your Masters have occasioned your reprehending me with
710 Text, XIV | I think he hath, on more occasions than one, shew'd himself
711 Text, XXVIII | Because a number is either odd or even, to conclude it
712 Text, XXVI | XXVI. As oft as you talk of finite quantities
713 Text, XXXVIII| of Fluxions ``as a Good old Gentleman fast asleep, and
714 Text, XXIV | errour arising from the omission of such rectangle (allowing
715 Text, XXXII | you blame me (P. 32) for omitting to give any Account of that
716 Text, XVII | an Infinitesimal, and so onward. [NOTE: Analyst, Sect. 4,
717 Text, XX | of which is, because in operating or calculating, men do not
718 Text, VIII | lessening or detracting from my opponents'' (ibid.). You accuse me
719 Text, XXXVIII| but that you may have an opportunity, to draw that ingenious
720 Text, XXXV | serene has quench'd their orbs~Or dim suffusion veil'd. ~
721 Text, L | allowed to make reprisals, in order to shew that the Irreligion
722 Text, XLII | give up at once all the orders of Fluxions and Infinitesimal
723 Text, VIII | a science, so useful and ornamental to Humane Life, from those
724 Text, XXII | reproaches and insults and outcries, I shall pass them over,
725 Text, XXX | suffer his judgment to be overborn by your imagination and
726 Text, XI | defence you seem to have been overcome with Passion: But now you
727 App, II | Philalethes (whose very oversight he adopts) supposeth to
728 Text, XLII | and Veterans to your own overthrow. If the Reader is of my
729 Text, XXXII | throughout, which at once overthrows the whole System you undertake
730 Text, V | Business to discredit. The owning this is not to own, that
731 Text, VII | persons who informed me are a pack of base profligate and impudent
732 Text, XIX | moderate parts, who takes this painful course in studying the principles
733 Text, XXXIII | to call (P. 58) ``a most palpable, inexcusable, and unpardonable
734 Text, XXXIII | although it be a Truth most palpably evident. ~
735 Text, XXXIV | you will find that on a parallel occasion, speaking of an
736 Text, XIII | Reader will make himself a party to your passions or your
737 Text, XLVIII | indeed, though you and other Party-men are violently attached to
738 App, I | endeavouring to translate a few passages from Sir Isaac Newton's
739 Text, XVIII | a bare attention to what passes in his own mind. And the
740 Text, VIII | be no Mathematician) how passionate and unjust your reproaches
741 Text, XLV | Contradiction. But to put the matter past dispute, it must be noted,
742 App, III | entreat the Reader to have the patience to peruse it; and if he
743 Text, XVI | Philosophic Popery among a free People. ~
744 | per
745 Text, XXVI | inconveniences thence arising, which, perchance may be none at all. It must
746 Text, XXXI | it is as untrue as it is peremptory. For that, in the foregoing
747 Text, XXXII | Rectangle determined by me are perfectly and exactly equal, supposing
748 Text, XXVII | Rectangulum quodvis motu perpetuo auctum, and ending with
749 Text, XXVIII | and yet you would fain perplex this plain case by distinguishing
750 Text, XXIX | expression. The cause of your perplexity is that you know not, whether
751 Text, XXXIX | 70), if I think fit to persist in asserting, ``that this
752 Text, XXV | XXV. You would fain persuade your Reader, that I make
753 App, III | to have the patience to peruse it; and if he finds any
754 Text, L | Philosophers, Mathematicians, and Philomathematicians of the present age, some
755 Text, XVI | even introducing a kind of Philosophic Popery among a free People. ~
756 Text, L | impossible to find among the Physicians, mechanical Philosophers,
757 Text, XLII | the argument, and only a piece of skill to impose upon
758 Text, IX | upon them to tear them to pieces every Mother's son of them,
759 Text, XXVIII | as tossing up cross and pile, as disputing amicably.
760 Text, XXIII | This you set forth as a pious fraud and unfair representation.
761 Text, XXXV | method: in how many lights he placeth his Fluxions: and in what
762 App, II | dares to misrepresent the plainest. ~
763 App, III | translate or copy, or compose a plausible discourse of some pages
764 Text, XLIV | from Sir Isaac Newton. Some plead inaccurate expressions in
765 Text, XXVIII | mathematical quantities as pleading their rights, as tossing
766 Text, XVI | that this is to fix a ne plus ultra, to put a stop to
767 Text, XII | for several pages. It is pompously set forth, as a criminal
768 Text, XVI | introducing a kind of Philosophic Popery among a free People. ~
769 Text, XXXVIII| to draw that ingenious portraiture of Sir Isaac Newton and
770 Text, XLI | occasion, to prevent all possibility of mistake, repeated and
771 Text, XXVII | quantities, nor in anything preceding or following it, is any
772 Text, XXXVII | that I was not making a precise extract out of that letter,
773 Text, XXVIII | You talk of their claiming preference, their agreeing, their boyishness
774 Text, XXVII | from the very lemma it self prefixed to the Demonstration? The
775 Text, XXIX | agreeably to what hath been premised, is that either may be deemed
776 Text, XXXIV | infinitas (P. 20) where, in his preparation for demonstrating the first
777 Text, XLVII | idea of colour as shall prescind from all the species thereof,
778 Text, XLVII | answer Mr. Locke's account, prescinding and abstracting from all
779 Text, XLVII | general abstract idea, which prescinds from the species or individuals
780 Text, XXX | must entreat the reader to preserve his full freedom of mind
781 Text, VII | from other causes, such as Presumption, Ignorance, or Vanity, like
782 Text, XX | method, which they constantly presuppose, but are employed in working,
783 Text, XIX | I freely own, I have no pretence to those things. The only
784 Text, L | in an age wherein so many pretenders to science attack the Christian
785 Text, VII | very inconsistent Part, in pretending to reject the Christian
786 Text, XXV | that the method of Fluxions pretends to somewhat more than the
787 Text, III | proper Way to abate the Pride, and discredit the Pretensions
788 App, II | concerning the Rationes primae et ultimae. He discreetly
789 Text, XXXVII | Author. His methodus rationum primarum et ultimarum, His second
790 Text, XXV | section. Lib. i., Phil. Nat. Prin. Math.] And that the method
791 Text, XXIX | negativis habeantur. [NOTE: Princip. Phil. Nat. Lib. II, Lem.
792 Text, VII | Mathematician, still living, was one principal reason assigned by a witty
793 Text, XVIII | will take any definition or principle on trust, without sifting
794 Text, XLV | Principles of Human Knowledge printed in the Year MDCCX.] In opposition
795 Text, XLIV | reductio ad absurdum; others a priori. Some hold the evanescent
796 App, IV | on an innocent man, who probably meant nothing, but was betray'
797 Text, XXXVIII| of beautiful theorems and problems, which he never knows or
798 Text, XXXVIII| science yet at Truth: that he proceeds blindfold, &c. All which
799 Text, VIII | Learned men, which hath produced so many free-spirited inquirers
800 Text, XXII | observed that the worst cause produceth the greatest clamour, and
801 Text, XLVIII | to me a capital errour, productive of numberless difficulties
802 App, I | my hands. As this Dublin professor gleans after the Cantabrigian,
803 Text, VII | informed me are a pack of base profligate and impudent liars (P. 27).
804 Text, XII | great men, as a concerted project to lessen their reputation,
805 Text, XIII | him as you do, Vestigia pronus adoro (P. 70). This same
806 Text, XV | the Reader, whether he can properly be called a Philosopher. ~
807 App, II | presumed to interpose in Prophecies and Revelations, and to
808 App, IV | the limits of lines can be proportioned or divided? After all, who
809 Text, XXXVIII| from all scruple, apply any proposition merely upon the strength
810 Text, L | of terms and the proof of propositions, not excepting against anything
811 Text, XVI | eye in a more extensive prospect; not considering that this
812 Text, XXII | should be no Mathematician, provided he understands common sense
813 Text, VI | pretend we go out of our Province, and they recommend to us
814 Text, XLIII | and withall how modest in proving or explaining: How frequent
815 Text, L | may not be of some use, to provoke and stir up the learned
816 Text, III | Usefulness or Tendency or Prudence of my Attempt. I thought
817 App, II | I observe in him a most prudent and profound silence. And
818 App, III | assertions, but carefully to pry into his sense, and sift
819 Text, XLIV | concur in giving to the publick some consistent and intelligible
820 Text, XXXIX | for Truth. And I do here publickly call upon you, to produce
821 Text, IV | not before, since I had published Hints thereof many Years
822 Text, XVI | not considering that a purblind eye, in a close and narrow
823 App, IV | finds himself thus closely pursued and beset with Interrogatories?
824 App, II | touched upon before him. He pursues a hint which the other had
825 Text, XXVIII | Hence with an intention to puzzle me you propose the increment
826 Text, XVII | comprehended; and that if I am puzzled about it and do not understand
827 Text, XXVII | rectanguli incrementum aB + bA. Q.E.D. In this very passage
828 Text, XXV | rebus mathematicis errores quam minimi non sunt contemnendi.
829 Text, XXXVI | Principles: Cave intelligas quantitates magnitudine determinatas,
830 Text, XXV | Reader, that I make an absurd quarrel against errours of no significancy
831 Text, XXV | concerned. That I am far from quarrelling at approximations in Geometry
832 Text, XXXIV | occasion, that I must expect no quarter from Sir Isaac's followers.
833 Text, XXIII | incrementorum ac decrementorum quas etiam, motus, mutationes &
834 Text, XXXV | thick a drop serene has quench'd their orbs~Or dim suffusion
835 Text, XXVI | practice is not the point questioned, but the rigour and justness
836 App, III | answer to the following Questions. ~
837 Text, IX | their passions, rather than quit their opinions how absurd
838 Text, VIII | wonder to see you rail and rage at the rate you do. But
839 Text, VIII | do not wonder to see you rail and rage at the rate you
840 Text, X | arts of all bigoted men, raising terrour and calling in the
841 Text, L | and placing it in an undue rank of evidence, be not the
842 Text, XLIII | with Mathematicians of all ranks, and some of the ablest
843 Text, XII | other man, it is imputed to rashness and vanity and the love
844 Text, VIII | you rail and rage at the rate you do. But if your own
845 Text, XIII | who candidly seek Truth by rational means. These are never averse
846 App, II | first Section concerning the Rationes primae et ultimae. He discreetly
847 Text, XXXVII | Great Author. His methodus rationum primarum et ultimarum, His
848 Text, XIII | Erudition. Thus far I can readily go, but I cannot go the
849 Text, XXV | If you mean to defend the reasonableness and use of approximations
850 Text, XXV | Curves where he saith In rebus mathematicis errores quam
851 Text, L | Mathematics, ought to be ill received by Mathematicians? Whether
852 Text, L | test of Reason should be reckoned a discouragement to the
853 Text, XXXIV | harsh words. The latter will recoil upon your selves: The former
854 App, IV | let him be asked, how he reconciles the idea of a Fluxion which
855 Text, XLV | must be neither oblique nor rectangular, neither equilateral, equicrural,
856 Text, XX | errour in the premises, not rectified, must produce errour in
857 Text, II | several Branches, and then to redouble your Surprize and Amazement (
858 Text, XLIV | Algorism of Fluxions by reductio ad absurdum; others a priori.
859 Text, I | seemed unaccountable, till I reflected on what you say (P. 32.)
860 Text, I | Reader of ordinary Sense and Reflection may be a competent Judge
861 Text, XVII | shall take your word when I refuse to take your Master's? ~
862 Text, XXXII | less than assignable are regarded as nothing; yet for a Fluxionist
863 Text, XXXVIII| militia, and of veteran regular troops. Need the Reader
864 App, II | Revelations, and to decide in religious affairs (P. 4) which is
865 App, II | value for those learned remains of that Great Man, whose
866 Text, IX | Bigotry what it will. A very remarkable instance of this you give (
867 Text, XXXVII | and inference, from what I remembred to have read in that letter;
868 Text, XXXII | XXXII. Afterwards to remove (as you say) all Scruple
869 Text, XXXIX | foreseen, and clearly and fully removed by Sir Isaac Newton in the
870 Text, XXXIII | evanescant jam augmenta illa, in rendering them, let the increments
871 App, I | I am sure, worth mine to repeat the same things, or confute
872 Text, XLI | possibility of mistake, repeated and insisted that I consider
873 Text, XXI | things early admitted by repetition become familiar: And this
874 Text, XLIX | Masters have occasioned your reprehending me with the utmost freedom.
875 Text, XLIX | under the severity of your reprehensions, when I consider the weakness
876 Text, XXIII | a pious fraud and unfair representation. I answer, that if according
877 Text, XXXIII | whether I have rightly represented the sense of those words,
878 Text, L | may not be allowed to make reprisals, in order to shew that the
879 Text, XLIX | were they as strong as your reproofs, could leave no doubt in
880 Text, XVI | you lies, converting the Republick of Letters into an absolute
881 Text, XLV | Locke acknowledgeth it doth require Pains and Skill to form
882 Text, XVIII | no depth of Science is requisite, but only a bare attention
883 App, II | always imitating, but never resemble him. This specimen of Mr.
884 Text, VI | Religion by Reason. If we resolve all into Faith, they laugh
885 Text, XLVIII | violently attached to your respective Masters, yet I, who profess
886 Text, XLVII | Green, and the like are each restrained to a more limited signification.
887 Text, XXXIV | for my part, I shall not retaliate. It is sufficient to say
888 App, II | interpose in Prophecies and Revelations, and to decide in religious
889 Text, XLIII | agreement among them, but the reverse thereof, the greatest dissonance
890 Text, X | assistance. Whether those Rhetorical flourishes about the Inquisition
891 Text, X | the Gallies are not quite ridiculous, I leave to be determined
892 Text, XXXIII | between us is, whether I have rightly represented the sense of
893 Text, XXVIII | quantities as pleading their rights, as tossing up cross and
894 Text, XL | Principia, it must be on the rigorous foot of rejecting nothing,
895 Text, XIV | have wrote concerning the roots of affected Æquations. It
896 Text, XLVIII | It is as easy to say a round square as an oblong square,
897 Text, XIII | sort there is who learn by route a set of principles and
898 Text, XLVIII | difficulties and disputes, that runs not only throughout Mr.
899 Text, IX | Mother's son of them, Tros Rutulusve fuat, Laymen or Clergymen, &
900 Text, II | obscure are not therefore sacred; and that it is no more
901 Text, XLII | same may in like manner be safely rejected and overlooked
902 Text, XXXVIII| out of intrenchments, of sallying and attacking and carrying
903 Text, XXXVI | can. You seem to be very sanguine when you express your self
904 Text, XII | he could hardly be quite satisfyed with his own demonstration:
905 Text, XXXV | or make sense of what he says? You say to me, that I am
906 Text, XLV | equilateral, equicrural, nor scalenum; but all and none of these
907 Text, XXVIII | words: Earum (quantitatum scilicet fluentium) incrementa vel
908 Text, XXXIII | cannot indeed say you are scrupulous about your affirmations,
909 Text, XLI | otherwise account, than from a secret hope that the Reader of
910 Text, I | you seem by this Dilemma secure in the favour of one Part
911 Text, XXXVI | magnitudine determinatas, sed cogita semper diminuendas
912 Text, XLII | he will despair of ever seeing you get clear of this dilemma.
913 Text, XXXII | Fluxions. And, indeed, who sees not that a Demonstration
914 Text, VIII | hope that an illustrious Seminary of Learned men, which hath
915 Text, XXXVI | determinatas, sed cogita semper diminuendas sine limite.
916 Text, XXX | either of the two former senses, you contradict Sir Isaac
917 Text, VII | credible, for your being so sensibly touched, and denying it
918 Text, XV | persuaded you speak the Sentiments of many more besides your
919 Text, L | learned Society? Whether to separate the clear parts of things
920 Text, XLVIII | any words can be either separated or joined as you please,
921 Text, XXXV | own eyes, ~So thick a drop serene has quench'd their orbs~
922 Text, VI | and though I had no End to serve but Truth. But you are very
923 Text, XII | own demonstration: This sets you on declaiming for several
924 Text, L | Geometrical demonstrations to the severest test of Reason should be
925 Text, XLIX | I am comforted under the severity of your reprehensions, when
926 Text, XXXI | arbitrarily, and without any Shadow of Reason given, supposed
927 Text, XLI | of the matter, which you shamefully misrepresent and declaim
928 Text, XL | explained in the Analyst, and shewed in that particular case
929 Text, II | Newton and his Followers, by shewing that they are not such Masters
930 Text, XXXVII | principles and notions are shifted. When new devices are introduced
931 Text, XXI | and driven to arts and shifts, he should entertain some
932 Text, VIII | Imagination be strongly shocked and moved, you cannot therefore
933 Text, XXXV | copiously, and endeavour to show that placing the same point
934 Text, VII | of it, having seen some shrewd Signs thereof my self, and
935 Text, XXVII | not plainly of that whose sides have a and b for their incrementa
936 Text, L | understood, examined, and sifted to the bottom? Whether,
937 Text, XVIII | principle on trust, without sifting it to the bottom, and trying
938 Text, XXV | quarrel against errours of no significancy in practice, and represent
939 App, III | unmeaning Speech passeth for significant by the mere assurance of
940 Text, XXVIII | useth the word moment to signify either an increment or decrement.
941 Text, VII | having seen some shrewd Signs thereof my self, and having
942 App, II | most prudent and profound silence. And yet he very modestly
943 Text, XXXVI | cogita semper diminuendas sine limite. If you say, an infinitesimal:
944 Text, XLIX | be owned you have shewn a singular talent therein. But I am
945 Text, XXXIV | it. The words Evanescere sive esse nihil do (to use your
946 Text, X | though he should not be skilled in Geometry) whether I have
947 Text, XXXVIII| carrying by assault; of slight and untenable works, of
948 Text, XXXVIII| Gentleman fast asleep, and snoring in his easy chair; while
949 Text, L | the studies of any learned Society? Whether to separate the
950 Text, XXXII | objections against it are clearly solved. All which is so far from
951 | sometime
952 Text, IX | to pieces every Mother's son of them, Tros Rutulusve
953 App, IV | whom it most concerns) may soon satisfy themselves, whether
954 Text, XII | me with envy. If I see a Sophism in the writings of a great
955 Text, XV | things obscure for clear, or Sophisms for Demonstrations. Nor
956 Text, XX | figure where there is no space, of proportion between nothings,
957 Text, XXXIV | I advise you to be more sparing of hard words: Since, as
958 App, III | the mere assurance of the Speaker, till he cometh to be catechised
959 Text, XLVII | colours; while the other specific names, as Blue, Red, Green,
960 Text, XLI | or the Theory of the case specified, which is the real point,
961 App, II | never resemble him. This specimen of Mr. Walton's truth will
962 Text, XL | them in the accuracy of Speculative Knowledge: in which respect
963 Text, XIX | abilities, who set out with more speed and less care. ~
964 Text, VI | take Occasion to shew your Spleen against the Clergy. I will
965 Text, XXXIV | demonstrating the first rule for the squaring of simple Curves, you will
966 App, III | answered, or so much as fairly stated, let him then make his compliments
967 Text, XXXVII | pleased with any one notion steadily to adhere to it.'' After
968 Text, XXXV | that he had no clear and steady notions of them, without
969 Text, L | some use, to provoke and stir up the learned professors
970 | stop
971 App, IV | another into difficulties and straits that he was not aware of,
972 Text, XXXVIII| proposition merely upon the strength of a Demonstration involving
973 Text, XIV | allowed of as Premises in a strict Demonstration. ~
974 Text, XLIX | arguments, which, were they as strong as your reproofs, could
975 Text, L | form in the minds of young Students habits of just and exact
976 Text, XIX | takes this painful course in studying the principles of any Science,
977 Text, L | said to have Faith, and be styled believers of mysteries?
978 Text, XLIX | a part infinitely small subdivided into an infinity of parts,
979 Text, XL | and themselves infinitely subdivisible. But you seem to have grown
980 Text, XXIX | affirmativis, ac decrementa pro subductitiis seu negativis habeantur. [
981 Text, XIX | my misfortune. Upon other subjects you are pleased to compliment
982 Text, XVIII | made more perfect by any subsequent progress in Mathematics.
983 Text, XLV | other general Science can subsist without general Ideas (P.
984 Text, XXXVII | devices are introduced and substituted for others, a Doctrine instead
985 Text, L | the study of abstruse and subtile matters can conduce to this
986 Text, VIII | Humane Life, from those subtilties, obscurities, and paradoxes
987 Text, XXXII | is incompatible with, and subversive of the doctrine of Fluxions.
988 Text, XLV | of Metaphysics, with what success the Reader will determine.
989 Text, XXX | mind intire, and not weakly suffer his judgment to be overborn
990 Text, XXXV | quench'd their orbs~Or dim suffusion veil'd. ~at the same time
991 Text, XV | It might, perhaps, have suited better with your appellation
992 App, IV | between the Gnomon and the sum of the rectangles [NOTE:
993 Text, XXXVII | throughout the whole, but rather sundry inconsistent accounts of
994 Text, XXV | errores quam minimi non sunt contemnendi. Which expression
995 Text, VIII | Divines,'' that I do ``stare super vias antiquas,'' (P. 13.)
996 Text, XXXIII | considered this affair so very superficially, as greatly to confirm me
997 Text, XLVIII | greater the authority which supports it, the more it deserves
998 App, II | very oversight he adopts) supposeth to have been ascribed to
999 App, II | Vindication, I ceased to be surprized at his Logic and his temper
1000 App, II | like the other, to say one syllable of second, third, or fourth
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