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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 878, page id 851708439:0902
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.81
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LRLOBNOMEPRIA SPHERTCA
Z E M M A X
Sinus 2 areuum A, E, sunc rectangulis sub semiareuum linibus de colinibus pro.
porcionales. S, A. S, B:: (per 1Cm. 9.) S AX Z Z A. SZL XZ G F.
Z. F. M M A XI.
Fangences 2 arcuum A, E, sune rectaneulis sub iptorum sinivus et Secancibus,
proporcionales.
T, A. T, C: : 5 AXR S, P. XR
29 A
2, F i: S, A ~ Z F. 2, A X S, F. ::. S, A Xs, A. S, F. a s, P.
R K CD Z A V.
Faroenres Balium sunc Fangencibus angulorum ad verticem proporcionales.
Nam per Aviom 2
ELBP A. E, BA:: (R. S, P A::) T, DP A. F, DA.
RFig. 21. P
5, 20. S, ZCrD: 23Z. LC vercicalium. FZ X LL vert. :: r3 X L L vert. I=
Z EL VerE Dem: Per RCg 4. Y, BP. F, DB:: E, DPA. E, BPA. ErGO
E, BP F T, DP. T, BP = T, DP:: Z, DP A F =, BBA. ZDP A - = BP A.
B. 6. (per tCM. Be 7.) 5, L.CY. 5, X61. :: FEZ CL VeEL. Y ZXLL VeII.
R F GVF A VII.
FLZCY. TZXOrC: T3ZL. L ad batin,. YL X LL bal. Ideoque X, LB. 1=
Xer:: TZ X LCbaC. F3Z LL bal. Dem: S, BP. S, DP:: S, D. S, B. LFBO
SBP + S, DP. S,BP = S, DP:: S, D = S, B. S,D- S, B. ErBO (Per leMM. 6.)
BP + DP BP aDP
D + B
DaB
RE GOL A VIII.
2+Z LL Vert. TZ Z LCBAE : : FLZLL BaL PZ Z LL VerE. Nam per RCG. Y.
S, BPA. S, OPA:: ZyB, EyD. ErBO S, BPA F S, DPA. S, BP A = S, DPA::
2. B. + Z, D. Z, B = Z, D. ErGO (per tem. 8. et 7.) F BPA F DPA - BPA nDPA
Ereo ZBNB  BPANDPA.. C B+D, Bea+ DeA
D RO B L. L. M A.
BeA +DPA, BtD
In Friangulo quovis Sph. BPD, daris L P ee cruribus BP, DP, invenire 2
angulos ab batin 53Z, Cr. S3XCr: : r3 P. F3X LCbaC.
_23Z CY. 23XOr:: rZ P. T5Z. LL. baI.
Dem: Per Reg. 6. S, Z. er. S, Z er: : r= P. TLX LLVrL. 7 ErgO terminos HO.
RC3.7, T5Z0. F5X0:: TYZ CEbaI. TSXCLbaC. C mologos inricem
Reg. B. TZZ LL baI. PZXLLVeTC:: 23P. TFXLL BaI.) mulciplicando.
SierX T) ZCr. S XCrX FZ Xer:: 29= P. T93 XLL. BaI. LrBO (per JoM. T.) SGuZCr.
~. PeF
593 X∞: : r93 P. T93ZCLBaI. ErBO S, ELCr. S3 ZC:: 25P. F3XLLBaI.
R F CV Z A VI