15-imita | impar-sylla | syste-yield
Part, §
1 Text, VIII | detraction, and artifice'' (P. 15). You recommend such means
2 App, IV | NOTE: See Vindication, p. 17.] vanisheth, whether the
3 App, I | Particularly with Sect. 18, 20, 30, 32, 33, 34, 35, 36, 43.
4 Text, XXXVI | distinctly comprehended'' (P. 31). And it may be uncivil
5 App, I | with Sect. 18, 20, 30, 32, 33, 34, 35, 36, 43. It is not,
6 App, I | Sect. 18, 20, 30, 32, 33, 34, 35, 36, 43. It is not,
7 App, I | 18, 20, 30, 32, 33, 34, 35, 36, 43. It is not, I am
8 App, I | 30, 32, 33, 34, 35, 36, 43. It is not, I am sure, worth
9 Text, XXVII | First then you affirm (P. 44), ``that, neither in the
10 Text, XXVIII | are merry, I say, and (P. 46) represent the two mathematical
11 Text, XXIX | Fluxion. But you tell us (P. 49) ``that you think, the venerable
12 Text, XXXI | XXXI. In the next Place (P. 50) you charge me with want
13 Text, XV | represent your self (P. 52) as a man, ``whose highest
14 Text, XXXIV | This is what you call (P. 56) ``so great, so unaccountable,
15 Text, XXXIII | are pleased to call (P. 58) ``a most palpable, inexcusable,
16 Text, XVII | NOTE: Analyst, Sect. 4, 5, 6, &c.] What have you to say
17 Text, XXXVIII| After this you employ (P. 65) your usual colouring, and
18 Text, XLV | without general Ideas (P. 74). This implies that I hold
19 Text, XLVI | give me to understand (P. 82) that this account of a
20 Text, XIX | uncommon abilities, (P. 5 and 84.) But I freely own, I have
21 App, IV | infinitely diminished (P. 9), when Sir Isaac Newton
22 Text, III | is it not a proper Way to abate the Pride, and discredit
23 Text, XI | XI. As I heartily abhor an Inquisition in Faith,
24 Text, XLIII | all ranks, and some of the ablest Professors, as well as made
25 Text, XXXIV | Evanescence of augments, in the above-cited passage, Sir Isaac means
26 Text, IX | I propose some helps to abridge the trouble of Mathematical
27 Text, XVI | Republick of Letters into an absolute monarchy, that it is even
28 Text, XLVII | but somewhat distinct and abstracted from them all. To me it
29 Text, XLVII | account, prescinding and abstracting from all the particular
30 Text, XLV | Ideas, but not formed by abstraction in the manner set forth
31 Text, L | And whether the study of abstruse and subtile matters can
32 Text, XLI | that a man may reason most absurdly about the minutest things. ~
33 Text, L | so considerable a part of Academical Education, be not to form
34 Text, XV | earth shall ever make me accept things obscure for clear,
35 Text, VIII | opponents'' (ibid.). You accuse me of the ``odium Theologicum,
36 Text, XLV | be inconsistent. Mr Locke acknowledgeth it doth require Pains and
37 Text, V | lives in the World, and is acquainted with the Humour of the Times,
38 Text, XXXVIII| whether they can, with perfect acquiescence of mind free from all scruple,
39 Text, XXX | moment, and as being about to acquire the other; or, as having
40 Text, XII | twenty five years ago, may acquit me of this charge in the
41 Text, XL | that he and his follows acted blindfold, as not knowing
42 Text, VII | the Doctrine of Fluxions, acts a very inconsistent Part,
43 | actually
44 Text, XXXVII | adhere to it.'' After which I added, ``Thus much is plain that
45 Text, VII | the late celebrated Mr. Addison is one of the persons, whom
46 Text, XXIX | incrementa pro momentis addititiis seu affirmativis, ac decrementa
47 Text, XXVIII | ingenious digression you address me in the following words ---
48 Text, XLI | He cannot but see what an admirable Method you take to defend
49 Text, XXIII | nominare licet. And that he admits Fluxions of Fluxions, or
50 Text, XIX | It is usual with you to admonish me to look over a second
51 App, II | whose very oversight he adopts) supposeth to have been
52 Text, XIII | adoro (P. 70). This same adoration that you pay to him, I will
53 Text, XIV | men, because they do not adore your Idol. Great as Sir
54 Text, XIII | you do, Vestigia pronus adoro (P. 70). This same adoration
55 Text, XLVIII | the truth of what I now advance, and clearly perceive how
56 Text, XIX | to those things. The only advantage I pretend to, is that I
57 App, I | notice. It may suffice to advertise the Reader, that the foregoing
58 Text, XXXIV | of it. For the future, I advise you to be more sparing of
59 Text, XLIX | I had some thoughts of advising you how to conduct your
60 Text, XXXIV | look into his Analysis per æquationes infinitas (P. 20) where,
61 Text, XIV | concerning the roots of affected Æquations. It will not, nevertheless,
62 App, II | and to decide in religious affairs (P. 4) which is so far from
63 Text, XIV | concerning the roots of affected Æquations. It will not,
64 Text, L | assigning a reason, nor affecting to mistake the signification
65 Text, XXXIII | are scrupulous about your affirmations, and yet I believe that
66 Text, XXIX | momentis addititiis seu affirmativis, ac decrementa pro subductitiis
67 Text, XLV | it must be noted, that he affirms it to be somewhat imperfect
68 Text, XXXVIII| although the proofs thereof afforded by the modern Analysis should
69 Text, XLVII | triangles, in the manner aforesaid. ~
70 | Afterwards
71 Text, XLVI | should seem, that a distinct aggregate of a few consistent parts
72 Text, XXVIII | claiming preference, their agreeing, their boyishness and their
73 Text, XLIII | that I found no harmony or agreement among them, but the reverse
74 Text, XXXVIII| third Fluxions, without the aid of any such experiment or
75 Text, XXXIV | expect nor desire any. My aim is truth. My reasons I have
76 Text, XXXIII | to nxn-1, the very thing aimed at by supposing the evanescence.
77 Text, XXX | ask with your accustomed air, ``What say you Sir? Is
78 Text, XXX | acknowledge it to be so.'' But alas! I acknowledge no such thing.
79 Text, XLIV | incomprehensible. Some would prove the Algorism of Fluxions by reductio
80 Text, XXIX | Isaac himself asserted when alive. Incrementa (saith he) vel
81 Text, XXIV | moments. In answer to this you alledge, that the errour arising
82 Text, XXIV | omission of such rectangle (allowing it to be an errour) is so
83 Text, XV | of Philalethes, and been altogether as laudable, if your highest
84 Text, XXXIII | which may perhaps amuse and amaze your Reader, but I am much
85 Text, II | redouble your Surprize and Amazement (P. 19 and 20). To all which
86 Text, XX | is not at all improved or amended by any progress, though
87 Text, XXVIII | cross and pile, as disputing amicably. You talk of their claiming
88 Text, XXXVIII| modern Analysis should not amount to demonstration? I further
89 Text, XXVI | after you have misled and amused your less qualified Reader (
90 Text, XLIV | to clear up these obscure Analytics, and concur in giving to
91 Text, XLVIII | Learning. Consequently, my animadversions thereupon were not an effect
92 Text, XLVIII | why I may not as freely animadvert on Mr. Locke or Sir Isaac
93 App, IV | without magnitude? If he answers that he can, let him teach
94 Text, XXIII | But for the truth of the antecedent see his introduction to
95 Text, XLIV | which I mention by way of Antidote to your false Colours: and
96 Text, VIII | I do ``stare super vias antiquas,'' (P. 13.) with much more
97 Text, XXVI | practice Sir Isaac disowns your apology. Cave, saith he, intellexeris
98 Text, I | 32.) when upon my having appealed to every thinking Reader,
99 Text, XV | suited better with your appellation of Philalethes, and been
100 App | AN~APPENDIX~Concerning~Mr.WALTON's~VINDICATION~
101 Text, XLVII | only a more general name applicable to all and each of the particular
102 Text, XXVI | Theory and in Reasoning. The application in gross practice is not
103 Text, XXXVIII| mind free from all scruple, apply any proposition merely upon
104 Text, XXXVIII| Fortune is bringing him her apron full of beautiful theorems
105 Text, XXII | the ways of men, will be apt to suspect that you are
106 Text, XXXI | you inconsiderately and arbitrarily, and without any Shadow
107 Text, XLIX | motion, and the rest of those arcana of the modern Analysis.
108 Text, XXXII | writing about momentums, to argue that quantities must be
109 Text, XLI | forth as he reasons and argues; and his mathematical conclusions
110 Text, XLVIII | Newton, as they would on Aristotle or Descartes. Certainly
111 Text, XIV | of Doctor Wallis in his Arithmetic of Infinites, and such,
112 Text, XXXVIII| by a twofold mistake he arrives though not at science yet
113 Text, XIV | useful, considered as an art of Invention. You, who are
114 Text, VIII | Calumny, detraction, and artifice'' (P. 15). You recommend
115 App, II | supposeth to have been ascribed to Sir Isaac Newton (P.
116 Text, XLIII | though you are not afraid or ashamed, to represent the Analysts
117 Text, XLVIII | once to try, whether laying aside the words he can frame in
118 Text, XXIX | your case to be that of an ass between two bottles of hay:
119 Text, XXXVIII| attacking and carrying by assault; of slight and untenable
120 Text, XXIX | to what Sir Isaac himself asserted when alive. Incrementa (
121 App, III | hard words and magisterial assertions, but carefully to pry into
122 Text, L | against anything without assigning a reason, nor affecting
123 Text, X | in the passions to your assistance. Whether those Rhetorical
124 Text, XLIX | Gentlemen of Cambridge, whom you associate with your self, and represent
125 Text, VII | modest and mannerly terms. He assured me that the Infidelity of
126 Text, XXXVIII| intrenchments, of sallying and attacking and carrying by assault;
127 Text, XLII | turn all your sallies and attacks and Veterans to your own
128 Text, XLVIII | far you are mistaken, in attempting to illustrate Mr. Locke'
129 Text, XXXV | in what different ways he attempts to demonstrate the same
130 Text, XXVII | Rectangulum quodvis motu perpetuo auctum, and ending with igitur
131 Text, XXXIII | those words, evanescant jam augmenta illa, in rendering them,
132 Text, IV | other Part of Learning; what avails it, or indeed what Right
133 Text, XXXIX | as you affirm. And I do aver, that this is an unquestionable
134 Text, XIII | rational means. These are never averse to have their principles
135 App, II | et ultimae. He discreetly avoids, like the other, to say
136 Text, XLVIII | of Truth, and a desire to banish, so far as in me lay, false
137 Text, IX | dig up the bodies of Dr. Barrow and Sir Isaac Newton, and
138 Text, VII | informed me are a pack of base profligate and impudent
139 Text, L | an argument than it will bear, and placing it in an undue
140 Text, XXXVIII| bringing him her apron full of beautiful theorems and problems, which
141 | becoming
142 Text, XXI | naturally suppose, might befall a great genius grappling
143 Text, L | deride Christians for their belief of Mysteries? Whether with
144 Text, VII | say, that an Infidel, who believes the Doctrine of Fluxions,
145 Text, XIX | taking nothing on trust, and believing that no writer was infallible.
146 App, II | Analyst was plainly meant to belong to others, he with Philalethes (
147 Text, XXVII | understands his incrementum as belonging to the Rectangulum quodvis
148 Text, XXVII | Rectanguli incrementum aB + bA belongs to the rectangle AB. ~
149 Text, XL | and forgot your part. I beseech you, Sir, to consider, that
150 | beside
151 Text, XX | a mean deference to the best of Mathematicians, who are
152 Text, X | surprised as I am, to see you betake your self to the arts of
153 Text, XXIX | I will not in your style bid the Reader believe me, but
154 Text, XXXVIII| next paragraph you talk big but prove nothing. You speak
155 Text, XI | manner as any declaiming Bigot would defend Transubstantiation?
156 Text, IX | be the Subject of their Bigotry what it will. A very remarkable
157 Text, XXXII | hence, how unjustly you blame me (P. 32) for omitting
158 Text, IX | Clergymen, &c. Let us dig up the bodies of Dr. Barrow and Sir Isaac
159 Text, XXXIV | unaccountable, so horrid, so truly Boeotian a blunder'' that, according
160 | both
161 Text, XXIX | that of an ass between two bottles of hay: it is your own expression.
162 Text, XXVIII | preference, their agreeing, their boyishness and their gravity. And after
163 Text, II | Mathematics in the several Branches, and then to redouble your
164 Text, VIII | practise it in the same breath. Considering how impatient
165 Text, XXXVI | XXXVI. You Sir with the bright eyes, be pleased to tell
166 Text, XXXIII | supposition you can never bring the quantity or expression ~
167 Text, IX | Mathematicians in Great Britain, or halloo the mob upon
168 App, IV | for, when they are thus brought to nothing? Again, I wish
169 Text, XXXI | Method, and to bestow some Brusqueries upon those who unadvisedly
170 Text, XX | same time destroys what was built upon it: That errour in
171 Text, IX | an errour in Science to burning or hanging the Authors?
172 Text, XX | because in operating or calculating, men do not return to contemplate
173 Text, XXXI | Cases of it, constantly calls a Moment, without confining
174 Text, XLIX | those learned Gentlemen of Cambridge, whom you associate with
175 Text, I | persuaded there are fair and candid Men among the Mathematicians.
176 Text, II | it is no more a Crime, to canvass and detect unsound Principles
177 Text, XLVIII | general ideas seemed to me a capital errour, productive of numberless
178 App, III | magisterial assertions, but carefully to pry into his sense, and
179 Text, XXI | learners, few of that kind caring to dwell long upon Principles,
180 Text, XLVIII | effect of being inclined to carp or cavil at a single passage,
181 Text, XXXVII | uniform doctrine explained and carried throughout the whole, but
182 Text, XXXVIII| sallying and attacking and carrying by assault; of slight and
183 Text, XXXI | Lemma, and all the several Cases of it, constantly calls
184 Text, XL | nothing, neither admitting nor casting away infinitely small quantities.
185 Text, XLVI | trap which Mr. Locke set to catch fools. Who is caught therein
186 Text, XLVI | set to catch fools. Who is caught therein let the Reader judge. ~
187 Text, VII | Infidelity; but that from other causes, such as Presumption, Ignorance,
188 Text, XXVIII | examine your reasons, and be cautious how he takes your word,
189 Text, XLVIII | being inclined to carp or cavil at a single passage, as
190 Text, L | proceeding can be justly called cavilling? Whether there be an ipse
191 Text, L | fair objections as well as cavils? And whether to inquire
192 App, II | end of his Vindication, I ceased to be surprized at his Logic
193 Text, XIX | own mind in examining, and censuring the authors I read upon
194 Text, XL | call rejecting them without ceremony. And though he inferreth
195 Text, XLVIII | Aristotle or Descartes. Certainly the more extensive the influence
196 Text, II | not of that Clearness and certainty as is commonly imagined.''
197 Text, XXXVIII| and snoring in his easy chair; while dame Fortune is bringing
198 Text, XLII | that even you, who, like a Champion step forth to defend their
199 Text, XXXIV | deal them about, they may chance to light on your friends
200 Text, XV | Very consistently with the character you give of your self, you
201 Text, VII | whom you are pleased to characterize in those modest and mannerly
202 Text, V | Humour of the Times, and the Characters of Men, is well aware, there
203 Text, L | be excepted? Whether the chief end, in making Mathematics
204 Text, IX | strange, that men should choose to indulge their passions,
205 Text, VI | Compliments as you do to our Church, and are just as angry as
206 Text, XXXI | For that, in the foregoing citation from the first case of Sir
207 Text, II | always have allowed, its full claim of Merit to whatever is
208 Text, XXVIII | amicably. You talk of their claiming preference, their agreeing,
209 Text, XXII | clamour, and indeed you are so clamorous throughout your defence
210 Text, XXII | cause produceth the greatest clamour, and indeed you are so clamorous
211 Text, XLIII | what could be said towards clearing my difficulties or answering
212 Text, VI | your Spleen against the Clergy. I will not take upon me
213 Text, IX | Rutulusve fuat, Laymen or Clergymen, &c. Let us dig up the bodies
214 App, IV | when he finds himself thus closely pursued and beset with Interrogatories?
215 Text, XXXVI | magnitudine determinatas, sed cogita semper diminuendas sine
216 Text, XXXVIII| experiment or analogy or collateral proof whatsoever? Lastly,
217 Text, XXXVII | mentioned his letter to Mr. Collins; Hereupon you tell me: ``
218 Text, XXXVIII| employ (P. 65) your usual colouring, and represent the great
219 Text, XXII | As to the rest of your colourings and glosses, your reproaches
220 Text, XL | false premises. And how this comes about, I have at large explained
221 App, III | of the Speaker, till he cometh to be catechised upon it;
222 Text, XLIX | talent therein. But I am comforted under the severity of your
223 Text, XLVI | and that, therefore, your Comment must be wide of the Author'
224 Text, XXVI | person treating thereof may commit very great errours in Logic,
225 Text, II | Clearness and certainty as is commonly imagined.'' All which, you
226 App, I | Gentleman hath written, and compare it therewith: Particularly
227 Text, XXXVIII| right, because one errour is compensated by another contrary and
228 Text, XLI | and that found without any compensation is absolutely nothing at
229 Text, I | and Reflection may be a competent Judge thereof. ~
230 Text, XXX | extreme satisfaction and complacency with which you utter your
231 Text, XXXV | demonstrations.'' This passage you complain of as very hard usage of
232 App, IV | Gentleman, who hath already complained of me for an uncommon way
233 App, III | to translate or copy, or compose a plausible discourse of
234 Text, XXXIII | those quantities in the composition whereof they are coefficients;
235 Text, XXIV | concerning the accuracy of computing or measuring in practice,
236 Text, XVI | inveigh against me as a person conceited of my own Abilities; not
237 Text, XXX | which you utter your strange conceits; if words without a meaning
238 Text, XVIII | would have us think) clearly conceivable. To judge of this, no depth
239 Text, XLVIII | words or expressions and the conceptions of the mind, he will judge
240 Text, XII | detracting from great men, as a concerted project to lessen their
241 Text, XLIV | these obscure Analytics, and concur in giving to the publick
242 Text, XXXVI | will, that you would then condescend to explain the Doctrine
243 Text, XXXIX | good that fact which you so confidently affirm. And, at the same
244 Text, XXXI | calls a Moment, without confining it to be either an increment
245 Text, XXXIII | superficially, as greatly to confirm me in the opinion, you are
246 Text, XXXVII | still grows more dark and confused the more it is handled:
247 Text, IX | all Mathematicians, or the confuting an errour in Science to
248 Text, XXXVIII| I further appeal to the conscience of all the most profound
249 Text, XXXVIII| you would have pass for a consequence of my notions. But I appeal
250 Text, L | in making Mathematics so considerable a part of Academical Education,
251 App, IV | hath expressly excluded all consideration of quantities infinitely
252 Text, XXV | is manifest, to whoever considers what the Great Author writes
253 Text, XXXII | cannot be admitted in, or consist with, a method, wherein
254 Text, XXXV | that I see no clearness or consistence in them. You tell me indeed,
255 Text, XV | to discover Truth. Very consistently with the character you give
256 Text, XXV | errores quam minimi non sunt contemnendi. Which expression you have
257 Text, XX | calculating, men do not return to contemplate the original principles
258 Text, XXXIX | unquestionable proof of the matchless contempt which you, Philalethes,
259 Text, XXVII | words, the sense, and the context, that the Great Author in
260 Text, XLIII | greatest dissonance and even contrariety of Opinions, employed to
261 Text, XXVIII | Reader always to keep the controverted point in view, to examine
262 Text, XLI | demonstrate; what objects you are conversant about; and whether you conceive
263 Text, XLIII | thereof, I have my self freely conversed with Mathematicians of all
264 Text, XVI | so much as in you lies, converting the Republick of Letters
265 Text, XXXIV | little disposition to be convinced, I desire you to look into
266 Text, XI | now you may be supposed cool, I desire you to reflect
267 App, I | regard to a writer who hath copied even the manners of Philalethes,
268 Text, XXXV | Isaac Newton. You declaim copiously, and endeavour to show that
269 App, III | for a man to translate or copy, or compose a plausible
270 Text, IV | and how I please in a free Country. ~
271 Text, I | not Sir, but admire your Courage in asserting with such undoubting
272 Text, VII | this Charge seem the less credible, for your being so sensibly
273 Text, XXVIII | their rights, as tossing up cross and pile, as disputing amicably.
274 Text, XXX | which is lost, which is cut in two, or distinguished
275 Text, XXXI | upon those who unadvisedly dare to differ from him. To all
276 Text, XXI | weak but an ill man, as a Deceiver and an Impostor. The Reader
277 Text, IX | Analysis. I take the liberty decently to dissent from Sir Isaac
278 App, II | and Revelations, and to decide in religious affairs (P.
279 Text, XLII | about yards and inches and decimal fractions, setting forth
280 Text, XLV | opposition to which, you declare your self to adhere to the
281 Text, XXXVI | your friends will modestly decline this task. ~
282 Text, XXIX | of AB increasing or of AB decreasing is to be esteemed the Fluxion,
283 Text, XXIII | velocitates incrementorum ac decrementorum quas etiam, motus, mutationes &
284 Text, XXIX | premised, is that either may be deemed the Fluxion. But you tell
285 Text, L | be presumed an effect of deep and just thinking? Whether
286 Text, XXXVI | Ubi de lateribus A et B deerant momentorum dimidia, &c.
287 Text, XLVIII | Nothing is easier, than to define in terms or words that which
288 Text, XVIII | apprehension of a thing defined is not made more perfect
289 Text, XVIII | to be understood of all definitions in all Sciences whatsoever.
290 Text, VIII | enter into your passions and degenerate into a nest of Bigots. ~
291 Text, XV | ambition is in the lowest degree to imitate Sir Isaac Newton.''
292 Text, L | according to the various degrees of evidence, be a useless
293 Text, XI | becomes a Person so exceeding delicate himself upon that Point?
294 Text, XLVIII | plainly perceive that you are deluded, as it often happens, by
295 Text, XXXII | be taken: it is directly demolishing the very Doctrine you would
296 Text, XIV | Mathematics, which are not demonstrative. Such, for instance, are
297 Text, XX | working, by notes and symbols, denoting the Fluxions supposed to
298 Text, VII | so sensibly touched, and denying it with so much Passion.
299 Text, VI | besides him, there were other Deriders of Faith, who had nevertheless
300 Text, XXXVIII| Analogy, whence a man may derive and satisfy himself concerning
301 Text, XXV | indeed, of the very end and Design of the Great Author in this
302 App, IV | between nothings, let him be desired to make sense of this, or
303 Text, XLIII | Opinions of others, being very desirous to hear what could be said
304 Text, V | Thing they would seem to despise. ~
305 Text, XLVIII | deserves to be considered and detected by sincere Inquirers after
306 Text, XV | Nor may you ever hope to deter me from freely speaking
307 Text, XXXVI | quantitates magnitudine determinatas, sed cogita semper diminuendas
308 Text, XLV | success the Reader will determine. I had upon another occasion
309 Text, XXXI | Isaac's Lemma, he expressly determines it to be an Increment. And
310 Text, VIII | reproach me with ``Calumny, detraction, and artifice'' (P. 15).
311 Text, XIX | so I fairly followed the dictates of my own mind in examining,
312 Text, XLIV | Men, so many minds: each differing one from another, and all
313 Text, IX | or Clergymen, &c. Let us dig up the bodies of Dr. Barrow
314 Text, XXVIII | And after this ingenious digression you address me in the following
315 Text, XXXV | has quench'd their orbs~Or dim suffusion veil'd. ~at the
316 Text, XXXVI | et B deerant momentorum dimidia, &c. where the moments are
317 Text, XXIX | without either increasing or diminishing, I can conceive no velocity
318 Text, XXXVI | determinatas, sed cogita semper diminuendas sine limite. If you say,
319 Text, XXXII | that could be taken: it is directly demolishing the very Doctrine
320 Text, XXV | plain; because Sir Isaac disclaims this method as not Geometrical. [
321 Text, L | in any science should be discountenanced? Whether there may not be
322 Text, L | Reason should be reckoned a discouragement to the studies of any learned
323 Text, XV | highest ambition had been to discover Truth. Very consistently
324 Text, L | the sake of a Great man's discoveries, we must adopt his errours?
325 Text, XXXIX | errour is entirely a new discovery of my own, which Sir Isaac
326 Text, XXV | great ignorance or great disingenuity. If you mean to defend the
327 Text, XXVI | inconsiderable in practice Sir Isaac disowns your apology. Cave, saith
328 Text, VII | that I imagine Geometry disposeth men to Infidelity; but that
329 Text, XXXIV | you, who shew so little disposition to be convinced, I desire
330 Text, I | Assurance things so easily disproved. This to me seemed unaccountable,
331 Text, XLVIII | numberless difficulties and disputes, that runs not only throughout
332 Text, XXVIII | tossing up cross and pile, as disputing amicably. You talk of their
333 App, III | Vindicator, indeed, by his dissembling nine parts in ten of the
334 Text, IX | the liberty decently to dissent from Sir Isaac Newton. I
335 Text, XLIII | reverse thereof, the greatest dissonance and even contrariety of
336 Text, XXX | which is cut in two, or distinguished into halfs? Is it a finite
337 Text, XXVIII | perplex this plain case by distinguishing between an increment and
338 Text, XXXVII | obscure, he might possibly distrust even his own demonstrations. ``
339 Text, VIII | the intemperate Zeal of Divines,'' that I do ``stare super
340 Text, XX | no magnitude which is yet divisible, of a figure where there
341 Text, XXXII | exist, and be capable of division? ~
342 Text, L | Whether there be an ipse dixit erected? And if so, when,
343 Text, XIV | instance, are the Inductions of Doctor Wallis in his Arithmetic
344 Text, IX | us dig up the bodies of Dr. Barrow and Sir Isaac Newton,
345 Text, XXI | uncouth consequences, and driven to arts and shifts, he should
346 Text, XXXVIII| prove nothing. You speak of driving out of intrenchments, of
347 Text, XXXV | my own eyes, ~So thick a drop serene has quench'd their
348 App, I | put into my hands. As this Dublin professor gleans after the
349 Text, XXXIII | principles. You raise a dust about evanescent augments
350 Text, XXVII | rectanguli incrementum aB + bA. Q.E.D. In this very passage
351 Text, XXXIII | followers are much more eager in applying his method,
352 Text, XLII | very plain, if you are in earnest, that you neither understand
353 Text, XV | XV. No great Name upon earth shall ever make me accept
354 Text, XXVIII | hear Sir Isaac's own words: Earum (quantitatum scilicet fluentium)
355 Text, L | considerable a part of Academical Education, be not to form in the minds
356 Text, XXVIII | when you are positive or eloquent or merry. ~
357 | elsewhere
358 Text, IX | Infidelity, you ask with no small emotion, ``For God's sake are we
359 Text, II | which is not so, the less it employs Men's time and thoughts,
360 Text, XX | demonstrated. This I say to encourage those, who are not far gone
361 | ending
362 Text, V | Men who reason well, are Enemies to Religion, as you would
363 Text, IX | For God's sake are we in England or in Spain? Is this the
364 App, I | Newton's Principia, and enlarge on a hint or two of Philalethes,
365 Text, XXXIII | if it ever instructs or enlightens him. For, to come to the
366 Text, XXXVI | of this, if, instead of entertaining us with your Rhetoric, you
367 Text, XXXIX | affair of a double errour is entirely a new discovery of my own,
368 Text, XLIII | The impartial reader is entreated to remark throughout your
369 Text, XII | authorities, and load me with envy. If I see a Sophism in the
370 Text, XXXII | only one proportion of equality throughout, which at once
371 Text, XLV | rectangular, neither equilateral, equicrural, nor scalenum; but all and
372 Text, XLV | nor rectangular, neither equilateral, equicrural, nor scalenum;
373 Text, XI | think you have no right to erect one in Science. At the time
374 Text, L | Whether there be an ipse dixit erected? And if so, when, where,
375 Text, XXV | saith In rebus mathematicis errores quam minimi non sunt contemnendi.
376 Text, XIII | the greatest Abilities and Erudition. Thus far I can readily
377 Text, XLV | are put together. [NOTE: Essay on Humane Understanding,
378 Text, XXIX | of AB decreasing is to be esteemed the Fluxion, or proportional
379 App, II | original and free Genius is an eternal reproach to that tribe of
380 Text, XXIII | incrementorum ac decrementorum quas etiam, motus, mutationes & fluxiones
381 Text, XVIII | Mathematics. What any man evidently knows, he knows as well
382 Text, L | Students habits of just and exact Reasoning? And whether the
383 Text, XLVII | comprehended under it. Thus, for example, according to him, the general
384 | except
385 Text, L | proof of propositions, not excepting against anything without
386 App, IV | Isaac Newton hath expressly excluded all consideration of quantities
387 Text, XXIV | This you dwell upon and exemplify to no other purpose, but
388 Text, XX | further and frequent use or exercise becoming only more accustomed
389 Text, XXXVII | ago done what you so often exhort me to do, diligently read
390 Text, XLIII | how modest in proving or explaining: How frequent it is with
391 Text, XXVII | is (as the author there explains it) that if the moments
392 App, I | defence, contains a full and explicite answer to Mr. Walton, as
393 Text, XLI | clearly?'' That I have often expressed my self to the same effect
394 Text, XXXV | modest, and not so full and expressive of my sense, as perhaps
395 Text, IX | figure of Speech, do you extend, what is said of the modern
396 Text, L | has ever been given of the extent of humane abilities? Whether
397 Text, XXXI | insuperable. You then proceed to extoll the great Author of the
398 Text, XXXVII | was not making a precise extract out of that letter, in which
399 Text, XXX | consider AB as lying at either extremity of the moment, but as extended
400 Text, XXXIV | expression) stare us in the face. Lo! This is what you call (
401 Text, XX | sense, that will but use his faculties, knows as well as the most
402 Text, XXI | become familiar: And this familiarity at length passeth for Evidence.
403 Text, II | you and the rest of that famous University, who plainly
404 Text, I | this Dilemma secure in the favour of one Part of your Readers,
405 Text, XXXIV | it; though I am sure you feel it, and the Reader if he
406 Text, XXV | from the thirty third and fifty third Queries in the Analyst.
407 Text, XLIII | it is with you to employ Figures and Tropes instead of Reasons:
408 App, IV | tried by his Scholars. ~FINIS.~
409 Text, XXVI | saith he, intellexeris finitas. And, although Quantities
410 Text, XII | what had been hinted twenty five years ago, may acquit me
411 Text, XVI | considering that this is to fix a ne plus ultra, to put
412 Text, X | Whether those Rhetorical flourishes about the Inquisition and
413 Text, XXVIII | Earum (quantitatum scilicet fluentium) incrementa vel decrementa
414 Text, XXXII | regarded as nothing; yet for a Fluxionist writing about momentums,
415 Text, XLIV | XLIV. Some fly to proportions between nothings.
416 Text, XIX | Mathematics, so I fairly followed the dictates of my own mind
417 Text, XLVI | which Mr. Locke set to catch fools. Who is caught therein let
418 Text, XLVIII | incomprehensible in idea, forasmuch as any words can be either
419 Text, XLII | rejectaneous quantity, is quite foreign to the argument, and only
420 Text, XXXIX | objection of mine was long since foreseen, and clearly and fully removed
421 Text, XII | of Fluxions, I can easily forgive your anger. ~
422 Text, XL | controversy to have mistaken and forgot your part. I beseech you,
423 Text, XXXVII | It is plain to me by the fountain I draw it from; though I
424 Text, XXXVIII| whether there are not divers fountains of Experiment, Induction,
425 Text, XLII | yards and inches and decimal fractions, setting forth and insisting
426 Text, XX | profound Analyst what idea he frames or can frame of Velocity
427 Text, XXIII | you set forth as a pious fraud and unfair representation.
428 Text, VIII | which hath produced so many free-spirited inquirers after Truth, will
429 Text, V | Infidels; or that Geometry is a Friend to Infidelity, which you
430 Text, IX | absurd soever. Hence the frightful visions and tragical uproars
431 Text, IX | of them, Tros Rutulusve fuat, Laymen or Clergymen, &c.
432 Text, XXXIX | foreseen, and clearly and fully removed by Sir Isaac Newton
433 Text, XXXII | that the very first and fundamental Lemma of that Section is
434 Text, III | that Method; will not this furnish a fair Argumentum ad Hominem
435 Text, VII | evidence of their science gains credit to their Infidelity. ~
436 Text, X | the Inquisition and the Gallies are not quite ridiculous,
437 Text, IX | and burn them under the Gallows,'' &c. ~
438 Text, II | Masters of Reason as they are generally presumed to be; and to depreciate
439 Text, XXVII | incrementis totis a and b generatur rectanguli incrementum aB +
440 Text, XXVII | the momentum vel mutatio geniti rectanguli AB will be aB +
441 Text, XLIX | Queries to those learned Gentlemen of Cambridge, whom you associate
442 Text, XXXII | the Method of Fluxions is geometrically demonstrated and largely
443 Text, XXVI | justifie Sir Isaac's method of getting rid of the abovementioned
444 Text, XXX | names and authorities, by Ghosts and Visions, and above all
445 Text, XL | But you seem to have grown giddy with passion, and in the
446 Text, XXXVI | divided. I should be very glad, a person of such a luminous
447 Text, VI | self misinformed, and shall gladly be found in a Mistake; but
448 App, I | As this Dublin professor gleans after the Cantabrigian,
449 Text, XXII | rest of your colourings and glosses, your reproaches and insults
450 App, IV | the difference between the Gnomon and the sum of the rectangles [
451 App, II | know not: But before I had got to the end of his Vindication,
452 Text, XLIV | the World will take it for granted that they cannot. ~
453 Text, XXI | might befall a great genius grappling with an insuperable difficulty:
454 Text, XXVIII | their boyishness and their gravity. And after this ingenious
455 Text, XXVI | Reasoning. The application in gross practice is not the point
456 Text, XLIII | make with the rest: How grossly you mistake and misrepresent,
457 Text, XL | subdivisible. But you seem to have grown giddy with passion, and
458 Text, XXXVII | new method, which still grows more dark and confused the
459 Text, XXIX | subductitiis seu negativis habeantur. [NOTE: Princip. Phil. Nat.
460 Text, L | minds of young Students habits of just and exact Reasoning?
461 Text, XXX | two, or distinguished into halfs? Is it a finite quantity,
462 Text, IX | Mathematicians in Great Britain, or halloo the mob upon them to tear
463 Text, XXXVII | confused the more it is handled: I could not help thinking,
464 App, I | Fluxions was put into my hands. As this Dublin professor
465 Text, IX | Words. ``Let us burn or hang up all the Mathematicians
466 Text, IX | in Science to burning or hanging the Authors? But it is nothing
467 Text, XIII | a way of thinking which happen to be in vogue. These betray
468 Text, XLVIII | are deluded, as it often happens, by mistaking the terms
469 Text, XII | understanding, suspect he could hardly be quite satisfyed with
470 Text, XLIII | be true) that I found no harmony or agreement among them,
471 Text, XIV | Infinites, and such, what Harriot and, after him, Descartes
472 Text, XXXIV | either with authorities or harsh words. The latter will recoil
473 Text, XXIX | ass between two bottles of hay: it is your own expression.
474 Text, XLIV | Sect. 19, 20. &c.] on that head. Lastly several (and those
475 Text, XXXVIII| appeal to the Reader's own heart, whether he cannot clearly
476 Text, XI | XI. As I heartily abhor an Inquisition in
477 Text, XL | with passion, and in the heat of controversy to have mistaken
478 Text, IX | Isaac Newton. I propose some helps to abridge the trouble of
479 | her
480 App, II | on the contrary, I have a high value for those learned
481 Text, XII | publication, of what had been hinted twenty five years ago, may
482 Text, IV | before, since I had published Hints thereof many Years ago?
483 Text, XXXII | thence follow, that all homogeneous momentums are equal, and
484 Text, XI | Analysts will think themselves honoured or obliged by you, for having
485 Text, VI | Adversaries. But it is to be hoped, there will never be wanting
486 Text, XXXIV | great, so unaccountable, so horrid, so truly Boeotian a blunder''
487 Text, XX | if a man destroys his own Hypothesis, he at the same time destroys
488 Text, VIII | detracting from my opponents'' (ibid.). You accuse me of the ``
489 Text, XIV | because they do not adore your Idol. Great as Sir Isaac Newton
490 Text, XIV | indeed, your self be an Idolater of whom you please: But
491 Text, XVI | not guilty of your mean Idolatry, you inveigh against me
492 Text, XXVII | auctum, and ending with igitur laterum incrementis totis
493 Text, XXXIII | evanescant jam augmenta illa, in rendering them, let
494 Text, XLI | whether it be legitimate or illegitimate, clear or obscure, scientific
495 Text, XXIV | Great Author had proceeded illegitimately, in obtaining the Fluxion
496 Text, XXXVII | Doctrine instead of being illustrated may be explained away. Whether
497 Text, VIII | less can you hope that an illustrious Seminary of Learned men,
498 Text, II | certainty as is commonly imagined.'' All which, you insist, ``
499 Text, XXI | fluxionary method were early imbued with such notions, it would
500 App, II | followers, who are always imitating, but never resemble him.
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