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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 597, page id 851708439:0621
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CaP. LL.
ANGULARFBUS.
C. AP. X.
De Problemate quodam Gallicand.
Tceris ad me suis Concini datis Dec. 70, 2667, D. Flenricus Oldenbureins
(Resix Socieraris Londini tunc Sceretarius) ad me transmisie Problema
quoddam Callicanum, Parisiis ad se miltuum (d D. Francisco du Laurens,
quod audio, propoticum) Regia Socierati extribendum. F. X cujus Solutione egre.
sias melcio quas Circuli proprietates novas, hactenus incognitas, detectum iri
praecendebatur. Duibus ego lueris (Dec. 12. recepris) postridie sic respondebam.
Decemb. 13. 4667.
Problema quod spectat, his verbis pro-
volicum, Numero datis Circuli C BD ra-
dio C C, ex inscripta BD, extra circu
tum porrecta ad libitum, ita tamen ut ad
ductam C F acta paralbela BT circuli cir-
cumferentiam secet in puncto Z: Verum
(non autem vero proximum, quod per Si
ncvum Canones facile fieri pocest) valorem
exbibere lineae BX.
HOc est (si cgo iplius mentem Cacis
2(equox) Datis maenitudine (numeris
desienata) tribus hisce rectis: nempe
Circuli BD C cum racio C C, tum inscripta BD, tum hujus (ad libitum protra.
Eta) continuatione DF; cui occurrat in F recta à centro C F, e huis parallela in-
tellieatur inscripta BX: Quaritur ipsius BX verus valor.
1 1
i
S FC SOF, V O. lonc1
Datis numeris r = C G, 2 B = BD, _CfH DF: Fric quadratum semissis
BY
 - 4. 72 B + 4 - 2 r bf + 4Bf + Bf
 1 72 + 2bf +5.
1 = 2b2 LBf
. Hujusque radix quadraciea
Y: r f 265 f. p= = LBL. Ouod erat inquicendum.
a LI D F Nt O N SFR A F IO.
SunIOCG =OD LCY =Y. BF = F. D = ;BD = B.
10
11
DF =f. id
BC 1D C B.ID eret Si
i BA = AY = EBY = CH=
Angulique C F B, C AB, B H C, recti.
ETnCFF = B. + f. BF = 2615.
EFg B + 2bs + s. BF9 4b. + 4051 s
CKgL CDq FDg r2- B2.
CFg- CKq. f FHG- =r  + 2b5+f2.
trem, in similibus Triangulis CP F, BFIP,
CF. CF:: BF. BH = C A.
AdeOg; CFG. CFg:: BF9. BH9 =CA9. IoC est
H EFF3