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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 874, page id 851708439:0898
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4
TRTOONOMEPETA SPHERTCA.
sicus; BA, BP (=BM) crura, P A ejusdem Batis urcunque obliqua (modo non
sic Delpenateltal 1o) platio Ba. Dcllatu ecla LPe, e 1) 16a td1b
e MF YCR. FrEO BL. = B A = L. A = V valis = V ditt er. Sed A F. AC:-
BL. CM. _ MF. aC:: RM. Ya. ErgO (proporcionis uriulque terminos homo-
10505 invicem mulciplicando) AF. 2 m F. AC na C:: (BL. XBM. Fm X y a::)
bL. ya.
C A505 XI.
Dacis cribus Frianguli Sphaeriei laceribus invenire Angulum.
D Sin er. R9:: 5: 3 bal. F Z XCr: X S: 3 baI. = = XCI: S93 Anguli.
Dem. A H X MM F. R9:: (per Axiom 4.) bL. Ya:: BL. X 3 R. Y a XF R, 1. C.
(per Lemma 5 e 1.):: S: Z bal. = h Xer: x5: 3 bal. = 3 Xer: 593 AB.
COROF L. A R ZV M. I.
Putam, n, Anguli crura, B basiS. Z. = m + n. X = n - m. 3 = 1 m + 3 n + 3 B.
Ereo D Sin cc. R9: : 5: 3 - m: X5: 3 - n. 59 3 ANS.
Eodem redeunt proportiones bina quibus ucitur Vaccus. Nempe, S, m. S: Z- 
: 5: 2 = n. A. de S, n. R:: A. Q. Tum RXG = 593 A1S.
COROLL ARZON I
Potito p = complemenco cruris m, Gunterus catum undecimum solric per
hanc simplicem proportionem. S, m. 8,n: : 2, B e S: p f. n. V Anguli. Nam
5n) RR (= 0 H. de VB _V: M = n. = Z. B ∞ =: 1 - n: = =B ∞ 3: p + n.
COROZL AR LV M 1II.
Seu Propolicio non absimilis Axiomati quarto.
D Sin er. Rg:: V Z0r = V baC. ~ Anguli. Nam Cumpeis icerum in manns
circulis CharcaCCIS, redueatur planum B P ad planum B A, ica uE constitmane cireu-
lum unieum, _ deMiCTaCuT PA Y AC. TUm BA = X A = BA. 1. c, V Z er = V
baF. Sed AL.. AC:: BR. BP.  m F. R:: BP. V ANGuH. ETBO APXIF. RG:5
(bAXBP. BP XV::) ba. v. Hine sequituT.
COROL L ARZV N IV.
D Sin Cr R9: : 5: 3Z er + 5 baC. XS: 3 Z0 = , baL.. Z. 9  AANG. NAM AF
LM F. Rg:: BR. V: : BA XSR. VX Z R. I. c. (Der Lemma 5 de 2.):: d: 3 Zer
+ 5 ba(. 25: 3Z0r = 3 bal. Z 93 An8. Hinc
COROL L A R ZV M V
33 M XS, H. R93: 8, 3X8: Z = B. 29 3 AB
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