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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
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18.
tcetL
ralleloseamma vel Ouadrilinea Trilinei resticuri CZ A F in om
res respectire rectas 2 Y corius Semicirculi, sive ommia minura
Parallelogramma Parallelogrammi CB in omnes respectire rectas
2 Y unius quadrancis; hoc ek, in omnes linus rectos arcuum a-
richmerice proxorcionalium in Guadronte; hoc est, in omnes
respectire rectas, aqualibus incerrallis sumpeas, crilinei C BD
ipii C b parallelas, incipiendo a B (quod Catim oltendecur.) HlOc
est, perinde est sive super base AFn, erigamus figuram alticu-
dinum respeccire carundem cum crilineo reltituto C AF: EIvC
super base FBn, hoc elt BD C, figuram alticudinis C F ubique;
Poluo nimirum AgUFAS CUM A B H, EUI F BK, AgurX BB C COn
gruere.) Duod aurem rectae Trilinei C Bb sine arcuum arirhine-
rice proporrionalium sinus recti, ic constat: Cum enim propier
cum Semiperipheriam C DF, cum rectam A F, in parres aqualcs
divilam, Omnes F Z, hoc est omnes CZ. (crilinei C A F A9. 7.)
sine sinus verlt arcuum F Z arichmetice provorrionalium corius
Semiperipheriae; erunt similicer omnes C Y (carundem exces-
Tus supra Cemidiametrum) hoc el, omnes rectae criliner lbC
arcuum b2 arichrerice proxortionalium in bC quadrante, Sinus
recti; (uci ex, eadem racione, C Y defectus rectarum F X sive
Fy aradio, hoc elt rectae crilinei similis BbF, Tunc lnus recti
arcuum arichnetice proxorrionalium quadrantis b F:) quod suf
cepimus ostendendum.
76. ER aurem (ue calculus 5 23 indicabie) prismatis modo
dicti, balis B BC, aequalis R= quadeato radtii circuli generantis.
Plamsixonatur punctum YEg. I. in cenero circuli, uE 6, CTLE
CUI F Y = R, CuM Z Y L R, e ZZ=ZC = Z P;ad eOque ZY =
R + Z P, quxe S in = R ducacur, habetUT = R 2 + 3 R P magni-
cudo quadrilinei CZ. C F, hoc eA, in hoc calu, quadri HInei BBC. F
tig. 2. unde s auteramus craperium BB C F; hoc ett, cum pacal-
lelogrammum B B D F = C, FX BF = R X Z D = = RP, cum cri-
angulum F b C LO F, =BO = R, Z R = Z R =, manebie X= + 3 RP
maonitudo seementi CG B; unde hiterum subducamus quadran-
cem C bC = 3 PP, manebic R = mognicudo eritinei CDB A∞.
2. hoc eAt C b B Ag. 7.) Duae quidem basis BB C = R  in alei-
cudinem P C = 2 R ducta, dac 2 P 2 mensuram dicti Prismatiss
Eive a99rC
acum omnium 2 Y in respectira parallelogramma
ductarum Si aucem pro omnibus Z Y, substicuamus ubique peri-
he-