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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 275, page id 851708439:0299
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e
A E G F B R A.
Hoc problema solrerunt Futoeius ibidem; Ousheredus in Claris (X prOp. 23.
Cap. L. XIV.
d Forte alii.
licione analycica; primo quidem, num calis duei polluc circulus; deinde quomodo
ducatur.
Cap. F9. _ Gatitaus in Dialosis pas. 45. EL (si bene memini) Carrescus alicubi:
Fxo idem (speciminis loco pro similibus alis) ab origine examinabo; inqui
e ROBF. F. M A.
Datis (in plano) duobus punctis, AB; ita describere (in eodem pland) cireg
lum D D, ut, ad ejusdem peripheriae punctum quodvis D, ductae rectae AD, BD,
sint in data ratione, in (majoris) ad (minorem) n.
IN V F S FTC A FIO.
Puta Factum ee: EF SE C centrum talis cireuli.
Tum (proxter data puncta A, B,) dacur AB recta: FF (propter datam ratio.
nem m ad n) punctum E. quo circulus eam secat Cuc quod eAt unum punctorum
D; adeoque dantur eriam A F, BE, rectae.
ea
PonatuE AF. = a. BF (= -) = B. AB(= a F B) = 5, TummX. a- B= d.
disserentix. Adcoque a- d - b.
Tom (prOPter AF. BE:: AD. BD.) est, alternatim, AF. AD:: BF. BD.
Esto:: T. V. Adeoque AD = ay. BD = bY.
Ft (quia AD, BD, non posime ese MInOreS quaM AF, BF; adeoque y non
minor quam L,) Donamus (ob commodiorem calculum) y y
e
Incelligatur a D (rbicunque) in AB (productam li opus) perpendicularis
DP. Sumptilque (ad oppolitas parres rectae AB,) AD = Ad; adeoque BD == Bd;
criansula ad oppolitas rectae AB Partes (propter aequalia latera, et aequales ansu.
los respectire) erune similia ee aequalia: Adeoque DPd una recta, bilecta in P.
a recta AB (continuata li OpuS) ad angulos rectos; in qua igitur, continnata est
C centrum: EC diameter F. C F (cujus punctum P est aliud punctum D) jacebic
ad partes B, (non ad partes A:) Secus enim B F Foret major quam A H; id est
(in hoc catu) BD quam AD; contra quam supponitur.
POnatur DP = p. PF = c. Adeoque AP = a F C. BP = B cC. (difterentia
duarum B,c; HOc CsE B = C, auFC= b, PEOUT b aut C major est.) Valores aurem
Y, en P, Cy rariabune, prout alibi acque alibi Cumitur D punctum.
Et ponacur radins CD (= CF = CF) = r. AdeOque L F = 2r.
Tum est, pP = (Q. DP = Q AD - Q. AP = a apy -8. 4 + c: = a ayy = aa
22C - 66 =) aa6 = 2a6 - 66.
MI m 2