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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 514, page id 851387705:0534
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D EC X OL OFDF.
ZZ XF Y F M YX FB = 7 PXF C. Sive, quod tancundem elE, quacHIIICdIS
M_A L. Una cum quadrilineo Z. Er FI, complent Parallelogrammum vaus 5) al
Bcamma Pacalleloprammi C. B u omneo relpecle reclas L. Y unius quactrantis;
cdinis PC, (altero sencet supplente quod n altere Welt.) Adeoque perinde
est Bre ducamus omnia Parallelosranima vol Ouadrilinea Trilinei resticuti CZ AV
in omnes respectire rectas Z PEtocius Semicirculi, sire omnia minuta Parallelo-
hoc est, in omnes sinus rectos arcuum Arithmetice proportionalium in Oladrante;
hoc et in omnes respectire rectas, aequalibus ineerrallis sumpras, erilinei C BB
ipsi Cib parallelas, incipiendo a B (quod ltatim ostendetur.) Hoc clt, perinde
est sive Tuper base A Pn, erigamus figuram alticudinum respectire carundem cum
crilineo restituto C AF: Sire super base F Bn, hoc est BBC, tiguram alticudinis
CF ubique; (posiro nimirum RGUTAS CM ABN, cum F Bu, Fisura BBC COn-
Sruere.) Ouod aurem rectae Frilinei CBb sint arcuum Arichmetice propoxtiona-
lium Sinus recti, sic constar: Cum enim proprer cum Semiperipheriam CbF, tum
rectam AP, in partes aequales dirisam, omnes P Y, hoc est omnes 6Z. (crilinei
C AF Fg. 7.) Sine sinus versi arcuum f 2 Arichmetice provortionalium cocius Se
miperipheriae; crune timilirer omnes EY (carundem exceltus supra semidiame.
trum) hoc cH, omnes recta crilinei Bb C, arcuum b2. Arichmetice proportion
lium in bC quadrante, Sinus recti; (uri e, cadem ratione, Cy detectus rectarum
P Y Sire Fy a radio, hoc est rectae crilinei similis B b F, sunt linus recti arcuum
Arichmetice proportionalium quadrantis bF:) quod sulcepimus ostendendum.
16. F.H aurem (ut calculus 5 23. indicabic) prismatis modo dicti, balis BBC
Bio T. aequalis R2 Quadrato radii cireuti generantis. (Nam si vonatur punctum Y Fg. Y
in centro circuli ut C, eric cum F Y = R, Tum Z Y = R, e ZI. == 2C =29
adeoque Z Y = R + a P, quae ( in Z  ducatur, habetir 3 R2 F 3 RP magniindo
quadrilinei CZ C F, hoc elt, in hoc casu, quadrilinci BBCF, fig. L. unde (i au
feramus traperium BBCFF, hoc est, cum parallelosrammum BBBF = C F X BF
=RXZ P = P, cum triangulum P bCE = G F X Z BC = RX Z R = = = R2, mane
bic RE F s R P magnicudo sexmeni C. CB; unde _ icerum Cubeucamus quadran.
rem