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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 874, page id 851387705:0894
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De Calculo Centri Cravitatis.
Cap. V.
Fis. 294 IF. VERL =BR, ad R; SeHML V: F = B2: ad T: Sic CA reCta R F = a R, ac
R = RV=
72; Cinum arcus FK in suo circulo, sire anguli FKK = FP L
=FPS; Oui (per Canonem Sinuum inveniendus) dicatur c8.
22. Flujulque C0. sinus seu tinus Arcus FL. in suo circulo, teu Anguli FRL. =
FPL; est V: R 2 - = R2: = p     = - V: B2 = a2: =  Y: a - v
23. SEDS = a R, ad R; seu UE a ad F: Sic DF = BR, ad = R, Sinum AP.
cus Fd in suo Circulo, seu anguli FDd = ∞Bd. Oui( per Canonem Sinuum in-
veniendus) dicatur a Q.
24. Vtrora Peripheria, seu Ouatuor Recti, 4 a; ad Arcum seu Angulum a a;
sive ur q ad d: Sic eAt Z onx torius 555S superticies, 8a R Z; ad Duadrilineum
Sphaericum dF8Fd, =2 d a R Q.
25. OFPp = 2R, ad PK = CP = CR = R -B R; SIvC ut 2, ad + - B:
Sic inceora Sphaera superticies, 8 R B; ad lesmenti P L. K L. P Superticiem, = 4 R
=4b Rd.
26. Vriota Peripheria, seu quatuor Recti, 48; ad Angulum FPF = 2FP∞ =
209; Sire ut 2 adc: Sic Segmenri PL.K L. P luperticies, 4 RR + b R Z: 2d
Trilincum Spharicum P Fk CP, = 2c R8 = 2bcR8.
22. In Friangulo Sphaerico RectanguloFBP; VF Co. SinUS areuS [8, Teu areUS
BF Sinus a R; ad C0. finum anguli FP B, scu Anguli FP L. Sinum,  V: a - b:
Sive ut a Bad V: a2 -- B2: Sic Racdius, 2) L: a = b: P Sinum Aneuli PFB.
(Nempe per doctrinam Frisonometricam.) Dui ( per Canonem Sinuum inveni-
endus) dicatur ed.
18. Veduo Anouli Recti, 22; ad Frium angulorum, Frianguli sphaerici
PFGF, exceltum supra Duos rectos, 20a f 2C= 2g: HIOc clt, ut Fadc ] C
=L: Sic est Circulus in Sphara MaximUS, 2 R Q; ad iltius Frianguli Sphaerici
PFSFMagnicudinem, 26 RQ + 2C RQ 2 R &
20. Triangulum hoc, PFBF ex Tritineo PFKF (invenco 516.) exemprum,
relinquie Bilincum tKF8F = 2 RG = 2CRG -, 2bCR 8.
20. Atque hoc Bilineum, ex Ouadrilineo dFsFd (invento sr4. ) exemptum,
relinquit Ouadrilineum d FKFd, = 2 a d R a F 2b0 R Q F 2C RG= 2 R8.
2F. Atque hoc Ouadrilineum, in ; R ductum; extibet Sectorem Sphaericum
CdTKFd, = 3a d R: 8 + 3bCR2 Q + 3C R2 Q 3 P28.
22. VECD = R, ad RL =KL. = BR; ((8, 195, 198.) Eive Wt F ad B: BC
anguli LXK arcuse R, ad consicudinem arcus tK, = BCQ: Pt sic Anguli FK F
= FK L Sinus,  V: a 2 - B2: ad rectam LF, = RV: a 2 - B2
23. RK = BR, ducta in FK = BC R; exhibet SecOrem LK L = B2 C R Q -
CRQ B= CRD. Acque hic ductus in Z C K = 5 b R, exhibet Coni portionem
CFKF = 3BCR= 3 - 3B3CR2 
24. HF = a R: dueta in FF = R V: a2 - B2: extribet FrianGulum R FFF =
a R V: 23 = b2. Rque hoc ductum in SCR = 5 b R, exhibet Prramidem
CRFFF = GabR V: a = B2 CUI (PTOPteT CR = DF, RF =CD, adeo
que ZCKXKFAFF = ZCDKDF XFF,) aequalis est Pyramis C DFF.
25. VECP = R, ad DS = a R; seu ut F ad a: Sic Arcus Anguli FD d = d Q
2d Arcum Fd = a dR. Dui ductus in D d = DS = a R, extibet binos Sectores,
2FD d = a aR R. Dui ducti ins CD = 5 a R, exhibenc binas Coni Portiones,
2CFDd, = 3 aa a R2 8.
26. Adduris
5. 130