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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 867, page id 851708439:0891
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L R LGONOMEPELA CPLANA.
TTF erns inus B C ad CrIIS MajuS BD. HC RadiuS ad l’angentem arCuS; 2 910
subduetis sradtibus 45: tiac uc Radius ad Pansentem Areus reliqui, Sic Pansens
Semi summa ansulorum C, D, ad Fangencem corum semi ditterentia.
Fig. f
KF::) R. TLKTF. Unde ablato Semr recto L. RIII, scMaL LHIE = LIF. L.
Deinde R. PLTF F:: (EF. FL:: BF. LH::BC. L.H::)(per praeced. PLL. LL.
TEXLL.
B. BC. BD) C. D)BD + BC. BD BC:: L,5 cliL. op. L,.  LLOp. LUM Z L. L L = Z dilata =
1. C. L. 2Cr 2 L majori LBCD.
Iminori LBDC.
B. BC. BD) CD) Ouaerancur ansuli religui C, D, per praeced. Tum SLD. BC::
L. 2CY
1 IScB. CD.
Avioma Quartum.
In Friangulo quoris CBD demista B F. perpendiculari ad basin C. D, crit pF B,
sis C. D ad C E Summam crurum, Sic C F difterentia crurum, ad C. HI disferentiam
Segmentorum BalS.
Dem: SieBR = EBC, erGO RF = =BD. Sit R L. F _ =BK; innee 1B, II,
TE. ergo HT T BI. Ducatur K. F II HII. FrGOF F =BF. Tum BC. BD:: (RI.
BC. BD. CD) CD. CB F BD: : CD =BD. CH. tamZ CD F ZCH =CF. C
31
=CD -= ZCH = FD. Deinde CB. R:: CF. 29 . e BD. R:: F. D, Z,D.
Solucio ulcima L ractionibus Exepe implicatur: Verum tacilsus expedietur opera-
tio in Logarichmis per 4 Subjecta Theorema.
ta. Pro quorum Analyli d Demonstratione,
supponantur Ansuli qualiti Crura MI, N, BasIS
B, Seomenta balis tacta d perpendiculari P
quasico Angulo oppolica (int A, N e A nimi-
rum pront cadit intra vel extra Priangulum.
Sit Z =N f N. X -=MI e N. Z = Semi Cum.
MX 3 laterII. PUI MIMI - AA =PP =BB
MMT FNN- BB
NN -AA F 2N A. F 180
ErgOR. Z. Anguli:: M.
=:: 2BIN. MM + NN - BB. ERBOZNN.
RFEEK 2
(att