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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)
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LRTGONOMETRTA SPHSERTCA.
Fig. 19.
Si Prianguli obliquangntI ZF P laclls quodris Z FI sit cir-
culi quadrans seu 90: redueatur ad a rectane e,
producendo lacus alcerum Z. P usque ad _ Tei 90, (vel qua-
e drancem decruncando Si lacus majus FuerIT.) Lum M SLLNB,
HIN est = LZ, et PN elt complemencu L~, d L. PHH
CA Compl. L Z IIV
Pem.
In Priangulis Obliquansutis detmilta Perpendiculari ad B2.
1 1.
Colinus Angulorum ad batem sunc Sinibus Angulorum ad vercicem directe pro.
porcionales. Nam per calum 2 1 a.
ZB. SEBP A:: Z P A. R:: ZyD. SDP A.
REGVL A 1I.
Cotinus Lacerum sune cotinibus batium directe proporcionales. Nam per
cal. 10.
E, BA. Z, BP:: (R. Z, PA: :) =, DA. Z, DP.
R F GV L A ITI
Sinns Batium Tangentibus angulorum ad Batem sunc reciproce proportionales.
Nam (per Aviom 2.)
S, BA. R:: Y, PA. T, B, _S, DA. R:: Y. PA. Y, D. E,BO
BBA. S, D A:: Y, D. Y, B.
R E GV L A IV.
Tangentes Lacerum cotinibus Angulorum ad Vercicem sunc reciproce pro.
portionales. Nam (per cas. 4. 1a.)
E, BP. T, PA:: R. E, BPA. _ T, DP. T, PA: : R, Z, DPA, F13O
C, BP. Y, DP. : Z. BPA. Z, BP A
A X ZO M A Tercium
In Triangulis Sphaericis univertis, Angulorum Sinus incer se sune, ut Sinus L2.
terum oppolicorum. Nam (per AV. L.)
S, BP. R: : S, PA. S, B7
et S, DP. R: : S, PA. SiD5. FsBO S, BP. S, DP:: S, D. S, B. vel (permutando)
S,BP, S, D:: S, DP. S, B.
Bac. I qu. sPropooto plo Lriangulorum obliquangus Dat.  qu. ) cal.
lorum calibus 12.
BP. VD. B D B, LB. 5, b. - 5, DC. 3,V. lssibie
B1. b. b1Pb(8, b. S, bl.: 3 B, d, lB. Ainbis.
Bc.
Casiro
111
V.
B1
Bb.
B0.
Be
BV.
eta
mi
num
de C
Sec
lB.
l
in 
Puca