Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

Table of contents

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[31.] PROBLEM II.
[32.] PROBLEM III.
[33.] PROBLEM IV.
[34.] PROBLEM V.
[35.] PROBLEM VI.
[36.] General Solution.
[37.] A SECOND SUPPLEMENT, BEING Monſ. DE FERMAT’S Treatiſe on Spherical Tangencies. PROBLEM I.
[38.] PROBLEM II.
[39.] PROBLEM III.
[40.] PROBLEM IV.
[41.] PROBLEM V.
[42.] PROBLEM VI.
[43.] PROBLEM VII.
[44.] LEMMA I.
[45.] LEMMA II.
[46.] LEMMA III.
[47.] LEMMA IV.
[48.] LEMMA V.
[49.] PROBLEM VIII.
[50.] PROBLEM IX.
[51.] PROBLEM X.
[52.] PROBLEM XI.
[53.] PROBLEM XII.
[54.] PROBLEM XIII.
[55.] PROBLEM XIV.
[56.] PROBLEM XV.
[57.] Synopſis of the PROBLEMS.
[58.] THE TWO BOOKS OF APOLLONIUS PERGÆUS, CONCERNING DETERMINATE SECTION, As they have been Reſtored by WILLEBRORDUS SNELLIUS. By JOHN LAWSON, B. D. Rector of Swanſcombe, Kent. TO WHICH ARE ADDED, THE SAME TWO BOOKS, BY WILLIAM WALES, BEING AN ENTIRE NEW WORK. LONDON: Printed by G. BIGG, Succeſſor to D. LEACH. And ſold by B. White, in Fleet-Street; L. Davis, in Holborne; J. Nourse, in the Strand; and T. Payne, near the Mews-Gate. MDCC LXXII.
[59.] ADVERTISEMENT.
[60.] EXTRACT from PAPPUS's Preface to his Seventh Book in Dr. HALLEY's Tranſlation. DE SECTIONE DETERMINATA II.
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page |< < ((iii)) of 161 > >|
7(iii)
OF the twelve Analytical Treatiſes recited by Pappus in
his
Preface to the 7th Book of his Mathematical Col-
lections
, we have very little of the Originals remaining, viz.
only Euclid’s Data, and part of Apollonius’s Conics. The
loſs
of the reſt is very much to be lamented by all Lovers of
the
Mathematics.
Valde quidem dolendum eſt quod re-
liqui
tractatus Veterum Analytici, a Pappo memorati,
aut
perierint, aut nondum lucem conſpexerint.
Nam
minime
dubito quin eorum nonnulli, Arabicè ſaltem
verſi
, alicubi terrarum lateant, pulvere magis quam tene-
bris
ſuis involuti.
Dr. Halley’s Preface to his Apol-
LONIUS DE Sectione Rationis et Spatii.
Some ingenious men have attempted, from the account of
them
given by Pappus, to reſtore ſome of theſe loſt Trea-
tiſes
.
Snellius has endeavoured to give us the Books De
Sectione Rationis, De Sectione Spatii, and De Sec-
TIONE Determinata.
Fermat and Schooten have laboured
in
the Treatiſe De Locis Planis;
and Marinus Ghetaldus
in
that De Inclinationibus.
But thoſe who have ſuc-
ceeded
beſt, and done the moſt this way, are two

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