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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 871, page id 851708439:0895
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IRTGONOMETRTA SPHARLLA.
AX ZO M A Secundum.
Sinus Balium Lunc Fangencibus Perpendicularium proportionales. AF. AC::
C. a y
Sed Axiomata ista aeque explicentur ab (que Areu _a; d eorum harmonia cum
similibus in Frisonometria Plana Proportionibus pateat, ex Polo conspectu Frian-
sulorum Planorum FDP, E. AC, rectos ansulos D, A, habencium. viz.
L. PF. R:: PD. SL (PED = =) B. 1. c. S FIY.
Potenula. R:: S Perpendicularis. S L ad Basem.
2. AF. R:: ACF. TL (AF C =) B. 1. c. SBa-
FCoS. R:: F Perpendicularis. Y L. ad Balem.
Peo calibus 16 sequentibus, sit B AP Frian.
sulum Sphaericum Rectangulum, ee produeaneue
Latera, ita ut arcuS BMI, BH, AD, ND, PF,
PE, F. G, NC sinc linguli 90 graduum. Frgo
NVF elt = = BP; S complementum Lateris B A
CIE A NI = L ADMI; _C FF = LFPF = L BP A.
et ED = NM = L. B; et ans ulI adt A, BI, N, F, F,
recti.
Daca. squae, Trrangulorum Rectangulorum Pcoportiones, uma cum SC
lucionibus Ambiguitatum.
Ba. PA BF S, Da. S, A M: : 5, ∞P, S, PN C∞e aviom L.)1. c.
D
BA:: Z PA. 2, PB. 15ot. 2.
S, BML. S, BA:: Y, NN. Y, PA (per AV. 2) 1. C, R. S
IBA. PA P j:: T, B. T, PA:: (per temma 3.) 7, P A. 7B 1 Sot
BP. P
Vet R. S, P A:: 7, BA. 7, P.
B S, PF. S, PH:: Y, EF. T, ND (per AV. 2.) 1. e. R.
BP. B P l:: T, P. XBI 50l. 3.
vet R. ZBP:: P, B. 7P.
BP. P PA S, GF. S, CF:: T, F. N. T, FD. 2. C. R. Z,P:: Y, BL
BP. BBA L, P A.
vel R. ZyB:: T, BP. P, BA. ) Sol. 4.
Be P BA R. S, BP:: S, P. S, BA. (per Av. T.) 1 Sol. L. vel B
BP. B PA S, BP:: S, B. S, P A.
PA. P BP S, GL . S, OF:: Y, EN. T, VD:: ~ VD. T, EN. 2.C. R. =P 5. L ad
B1. B
:: = P A. = BP) Sol. 5. Pariter R. E, B:: FBA. FBP
eA. P B S, PF. S, PD:: S, FF. S, DN, 1.C. R. Z, P A:: 5, P.c.
BA. B P Z, B. ISol. E.
vet R. ZBA:: S, B. 29P.
BA. B ea S, BM. S, BA:: Y, MN. T, PA. I. c. R. S, BA:: T, B. 6.-
PA. P BA F, PA. 1 Sol. F.
vel R. S, P A:: T, P. T, BA.
ea. B BA R. Z, B:: (T, B. R: :) F, PA. S, BA. (per v. 2.) (Ambi5. c. Z op
BA. P PA vet R. 7, P:: T, B A. S, PA.
PA. B BP S, B. S, PA:: R. S, BP (AV. L.) IAmbis.
BA. P
vet S,P. SuB A:: R. S, BP.
PA. B P S, PD. S, PF:: S, DN. S, FF. 2. C. Z PA. R: : 2, B. S, F
BA. P B Ambie.
Vet ZBA. R:: Z, P, S, B.
Pa. BD P R. Z, BD: : (T, BP. R: : per cas. 4.) F, PA. Z, P 1 5ol. 4
BA. BP B Pariter R. 7, BP:: L, BA. Z, B.
PA. BP B S, BP. R:: S, P A. S, B. 1 Sol. 2.
BA BC P S, BP. R:: SuBA. S, P.
eA. BP BA =E, PA. R: : E, BP. Z.B A (per Cas. 1.) 1. Sol. 2.
BA. BD PA =. B A. R:: ZBP. Z9P A.
B. P BP R. FP:: (F, P. R:: per Cas. 3.) 2, B. ZG BD. (Sol. 2
B. P PA S, P. R:: =, B. =, P A. (per Cas. TL.) (Sol. 1.
BA(d, B. R.: Z, P. Z. BA.
Data. 1Gual. scal.
c. B