Part, §

1001    Text,  XXXII  |              once overthrows the whole System you undertake to defend.
1002    Text,  XXI    |               there are certain points tacitly admitted by Mathematicians,
1003                  | taking
1004    Text,  XLIX   |              you have shewn a singular talent therein. But I am comforted
1005    Text,  XLVIII |          confident and positive way of talking. But any one who thinks
1006    Text,  XL     |                that particular case of Tangents, that the Rejectaneous Quantity
1007    Text,  XXXVI  |             will modestly decline this task. ~
1008     App,  IV     |           answers that he can, let him teach them to do the same. If
1009    Text,  IX     |            halloo the mob upon them to tear them to pieces every Mother'
1010     App,  III    |             discourse of some pages in technical terms, whereby he shall
1011     App,  II     |         surprized at his Logic and his temper in the beginning. The double
1012     App,  III    |              dissembling nine parts in ten of the difficulties proposed
1013    Text,  XLI    |              or obscure, scientific or tentative: That I have on this very
1014    Text,  X      |               all bigoted men, raising terrour and calling in the passions
1015    Text,  XXXII  |               or fluxions proportional thereto, are all likewise equal.
1016    Text,  XXIII  |                a Fluxion may agreeably thereunto be called the Velocity of
1017     App,  I      |                written, and compare it therewith: Particularly with Sect.
1018    Text,  XXXV   |           fault is in my own eyes, ~So thick a drop serene has quench'
1019    Text,  XXV    |          Geometry is manifest from the thirty third and fifty third Queries
1020    Text,  X      |              yours is. And if he be as thoroughly satisfied as I am, that
1021    Text,  XL     |                wit, the postulatum for throwing away Infinitesimals, and
1022    Text,  IV     |                           IV. As to my timing this Charge; why now and
1023     App,  III    |             nor himself understand one Tittle of it. Whether this be the
1024                  | together
1025    Text,  V      |               Things; whence you raise Topics for invective: But I say
1026    Text,  XXVIII |              pleading their rights, as tossing up cross and pile, as disputing
1027    Text,  XXVII  |             and b for their incrementa tota, that is, of AB. Let any
1028    Text,  XXVII  |             igitur laterum incrementis totis a and b generatur rectanguli
1029     App,  II     |                         II. Mr. Walton touches on the same points that
1030     App,  IV     |                Principles. Be this the Touchstone of his vindication. If he
1031                  | towards
1032    Text,  II     |             Sciences, to disparage and traduce a Set of learned Men whose
1033    Text,  X      |               to see how vain all this tragedy of yours is. And if he be
1034    Text,  IX     |              the frightful visions and tragical uproars of Bigoted men,
1035    Text,  XI     |          declaiming Bigot would defend Transubstantiation? The same false colours,
1036    Text,  XLVI   |               a general triangle was a trap which Mr. Locke set to catch
1037    Text,  X      |          whether I have not constantly treated those celebrated Writers,
1038    Text,  XLVIII |        impossible triangle; upon which trial the issue of this dispute
1039    Text,  XLVII  |                the particular sorts of triangles, in the manner aforesaid. ~
1040     App,  II     |               eternal reproach to that tribe of followers, who are always
1041     App,  IV     |               issue, I leave him to be tried by his Scholars. ~FINIS.~
1042    Text,  XXXVIII|                 and of veteran regular troops. Need the Reader be a Mathematician
1043    Text,  XLIII  |              you to employ Figures and Tropes instead of Reasons: How
1044    Text,  IX     |            every Mother's son of them, Tros Rutulusve fuat, Laymen or
1045    Text,  IX     |              some helps to abridge the trouble of Mathematical studies
1046    Text,  XLVIII |               he needs only at once to try, whether laying aside the
1047    Text,  XVIII  |          sifting it to the bottom, and trying how far he can or he cannot
1048    Text,  XII    |                of what had been hinted twenty five years ago, may acquit
1049     App,  I      |               confute the same notions twice over, in mere regard to
1050    Text,  XXXVIII|              nor thought of: that by a twofold mistake he arrives though
1051    Text,  XXXVI  |                book of his Principles: Ubi de lateribus A et B deerant
1052     App,  II     |      concerning the Rationes primae et ultimae. He discreetly avoids, like
1053    Text,  XXXVII |          methodus rationum primarum et ultimarum, His second Lemma in the
1054     App,  IV     |         nothings. If he should say the ultimate proportions are the Ratio'
1055    Text,  XVI    |               this is to fix a ne plus ultra, to put a stop to all future
1056    Text,  XXXI   |             Brusqueries upon those who unadvisedly dare to differ from him.
1057    Text,  XLIV   |             owned the objections to be unanswerable. All which I mention by
1058    Text,  XXXVI  |                  P. 31). And it may be uncivil not to believe what you
1059    Text,  VI     |             though Religion were quite unconcerned, and though I had no End
1060    Text,  XXI    |              urged by perplexities and uncouth consequences, and driven
1061    Text,  XXX    |            verily seems, that you have undertaken the defence of what you
1062    Text,  XII    |     perplexities that beset a man, who undertakes to defend the doctrine of
1063    Text,  XXXVIII|             works, of a new-raised and undisciplined militia, and of veteran
1064    Text,  I      |         Courage in asserting with such undoubting Assurance things so easily
1065    Text,  L      |             bear, and placing it in an undue rank of evidence, be not
1066    Text,  XXX    |                After having given this unintelligible account, you ask with your
1067    Text,  VIII   |      Mathematician) how passionate and unjust your reproaches are, and
1068    Text,  XXXII  |                appears from hence, how unjustly you blame me (P. 32) for
1069                  | unless
1070     App,  III    |             thing I know, that many an unmeaning Speech passeth for significant
1071    Text,  XXXIII |             palpable, inexcusable, and unpardonable blunder,'' although it be
1072    Text,  II     |           Crime, to canvass and detect unsound Principles or false Reasonings
1073    Text,  XXXVIII|              by assault; of slight and untenable works, of a new-raised and
1074    Text,  XXXI   |           Charge I reply that it is as untrue as it is peremptory. For
1075    Text,  I      |                I shall endeavour so to unveil this Mystery, and put the
1076    Text,  L      |              evidence, be a useless or unworthy undertaking? Whether the
1077    Text,  IX     |         frightful visions and tragical uproars of Bigoted men, be the Subject
1078    Text,  XXI    |                 nevertheless, if, when urged by perplexities and uncouth
1079                  | using
1080    Text,  XXIX   |              momentorum intelligo: ita ut incrementa pro momentis
1081    Text,  XXX    |             complacency with which you utter your strange conceits; if
1082    Text,  V      |                                        V. I do not say, that Mathematicians,
1083    Text,  X      |              Mathematician, to see how vain all this tragedy of yours
1084     App,  II     |                contrary, I have a high value for those learned remains
1085     App,  IV     |               See Vindication, p. 17.] vanisheth, whether the rectangles
1086    Text,  XXXV   |            their orbs~Or dim suffusion veil'd. ~at the same time you
1087    Text,  VI     |                nevertheless a profound Veneration for Fluxions; and I was
1088    Text,  XLIII  |              modern Analysis, before I ventured to publish my thoughts thereupon
1089    Text,  XXX    |                          XXX. To me it verily seems, that you have undertaken
1090    Text,  XXXV   |            tell me indeed, in Miltonic verse that the fault is in my
1091    Text,  XIII   |            never say of him as you do, Vestigia pronus adoro (P. 70). This
1092    Text,  XXXVIII|          undisciplined militia, and of veteran regular troops. Need the
1093    Text,  XLII   |                sallies and attacks and Veterans to your own overthrow. If
1094    Text,  XXXII  |         Demonstration ad absurdum more veterum proceeding on a Supposition,
1095    Text,  VI     |                                        VI. There are, I make no doubt,
1096    Text,  VIII   |                that I do ``stare super vias antiquas,'' (P. 13.) with
1097    Text,  VIII   |                                        VIII. You reproach me with ``
1098     App,  IV     |              what he takes upon him to vindicate. It is in short, that they
1099    Text,  XLVIII |                and other Party-men are violently attached to your respective
1100    Text,  XIII   |         thinking which happen to be in vogue. These betray themselves
1101    Text,  XXXVI  |               your Rhetoric, you would vouchsafe to reconcile those difficulties,
1102    Text,  XLV    |             your self to adhere to the vulgar opinion, that neither Geometry
1103    Text,  XIX    |            Science, may be supposed to walk more surely than those of
1104    Text,  XIV    |               the Inductions of Doctor Wallis in his Arithmetic of Infinites,
1105     App,  II     |               Walton's truth will be a warning to the Reader to use his
1106    Text,  XXI    |             great author not only as a weak but an ill man, as a Deceiver
1107    Text,  XXX    |                of mind intire, and not weakly suffer his judgment to be
1108    Text,  XLIX   |     reprehensions, when I consider the weakness of your arguments, which,
1109    Text,  VI     |            deal with them at their own Weapons; and to shew, they are by
1110    Text,  XIX    |             time, to consult, examine, weigh the words of Sir Isaac.
1111    Text,  XXXIV  |            matter of science are of no weight with indifferent Readers;
1112                  | whenever
1113    Text,  L      |        distinguish the real Principles whereon Truths rest, and whence
1114    Text,  IX     |          language of a Familiar who is whispering an Inquisitor, &c?'' And
1115    Text,  XXIX   |              ghost of Sir Isaac Newton whispers you, the Velocity you seek
1116    Text,  XLI    |                concerned about, is one whit the less, it being evident
1117    Text,  I      |               Geometricians or Persons wholly ignorant of Geometry? If
1118    Text,  XLVI   |        therefore, your Comment must be wide of the Author's meaning.
1119    Text,  VI     |                for Fluxions; and I was willing to set forth the Inconsistence
1120    Text,  XLIII  |               you are in asserting and withall how modest in proving or
1121    Text,  VII    |         principal reason assigned by a witty man of those times for his
1122    Text,  XXVIII |            have us conclude, by a very wonderful inference, that his moment
1123    Text,  XX     |        presuppose, but are employed in working, by notes and symbols, denoting
1124    Text,  XXXVIII|                of slight and untenable works, of a new-raised and undisciplined
1125    Text,  XXII   |                often observed that the worst cause produceth the greatest
1126    Text,  X      |               treated those celebrated Writers, with all proper respect,
1127    Text,  XXV    |        considers what the Great Author writes about it; especially in
1128    Text,  XLVIII |           single passage, as you would wrongfully insinuate, but proceeded
1129    Text,  X      |                                        X. The Reader need not be
1130    Text,  XI     |                                        XI. As I heartily abhor an
1131    Text,  XII    |                                        XII. In a matter of mere Science,
1132    Text,  XIII   |                                        XIII. Two sorts of learned men
1133    Text,  XIV    |                                        XIV. You may, indeed, your self
1134    Text,  XIX    |                                        XIX. It is usual with you to
1135    Text,  XL     |                                        XL. If you defend Sir Isaac'
1136    Text,  XLI    |                                        XLI. This is the truth of the
1137    Text,  XLII   |                                        XLII. Pray answer me fairly,
1138    Text,  XLIII  |                                        XLIII. The impartial reader is
1139    Text,  XLIV   |                                        XLIV. Some fly to proportions
1140    Text,  XLIX   |                                        XLIX. In the close of your performance,
1141    Text,  XLV    |                                        XLV. Having gone through your
1142    Text,  XLVI   |                                        XLVI. I desire to know, whether
1143    Text,  XLVII  |                                        XLVII. It is Mr. Locke's opinion,
1144    Text,  XLVIII |                                        XLVIII. I entreat my Reader to
1145    Text,  XV     |                                        XV. No great Name upon earth
1146    Text,  XVI    |                                        XVI. Because I am not guilty
1147    Text,  XVII   |                                        XVII. I have said (and I venture
1148    Text,  XVIII  |                                        XVIII. Upon this point every Reader
1149    Text,  XX     |                                        XX. What I insist on is, that
1150    Text,  XXI    |                                        XXI. In my opinion the greatest
1151    Text,  XXII   |                                        XXII. As to the rest of your
1152    Text,  XXIII  |                                        XXIII. You ask me (P. 32) where
1153    Text,  XXIV   |                                        XXIV. I had observed, that the
1154    Text,  XXIX   |                                        XXIX. A page or two after, you
1155    Text,  XXV    |                                        XXV. You would fain persuade
1156    Text,  XXVI   |                                        XXVI. As oft as you talk of finite
1157    Text,  XXVII  |                                        XXVII. First then you affirm (
1158    Text,  XXVIII |                                        XXVIII. All this is so plain that
1159    Text,  XXX    |                                        XXX. To me it verily seems,
1160    Text,  XXXI   |                                        XXXI. In the next Place (P. 50)
1161    Text,  XXXII  |                                        XXXII. Afterwards to remove (as
1162    Text,  XXXIII |                                        XXXIII. The next point you undertake
1163    Text,  XXXIV  |                                        XXXIV. Nothing I say can be plainer
1164    Text,  XXXIX  |                                        XXXIX. You tell me (P. 70), if
1165    Text,  XXXV   |                                        XXXV. In the next place you proceed
1166    Text,  XXXVI  |                                        XXXVI. You Sir with the bright
1167    Text,  XXXVII |                                        XXXVII. I have long ago done what
1168    Text,  XXXVIII|                                        XXXVIII. In the next paragraph you
1169    Text,  XLII   |              here and elsewhere, about yards and inches and decimal fractions,
1170    Text,  XLV    |               Knowledge printed in the Year MDCCX.] In opposition to
1171                  | yes
1172    Text,  V      |               yet admire Fluxions; who yield that Faith to a mere Mortal,