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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)
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320
De Calculo Centri Cravitatis. Cap. V.
a duabus rectis non parallelis) habetur ipsum curra Parabolica AO Cenrum gra-
ritatis; ec, quae inde dependent.
7. Lieura ex Primanorum Reciprocis constata, est Spatium F yperbolieum Car-
vae ed Asymptoris interjectum recta Asemprocarum alteri parallela terminatum.
218. 210. Oc A SH0 lis. 210 Hoc demon stravimus prOp. 94, 35. srichmet. Ensinis. ierum
que prop. 3L. hujus Cap. V.
8. Tdenque sparium LEyperbolieum, est Fieura Secantium, sinibus rectis com-
plementorum (aut areuum suorum sinibus versis) arichmetice proportionalibus re-
spondentium. Lesc infinuacum eAt, sB. PrOP. 17. scs CaP. V. Hctque OCCUI
rIES E. prOR 30. (Nam qua illic OcCurrunE rectX = LuINE lX SecanteS.) FAque
obrium ee demonstratu facile. Cum enim Fic, in Fio. 327. Ur sinus complementi
CV = v, ae ractium CB = R; siC racliuS C A = R, adt secantem C. F = =: Sumpris
Sinibus complementi C V = x arichmetice proporcionalibus (adeoque et sinibus
vertis AV =V arichimerice irem proporcionalibus;) Siponaneur (f8. 325, 326.)
rectis C BT secancibus, aequales ordinacim applicarae V BO; (quae itaque crunt
conidem , iplis t altmerice proporcionalibus recipioca, Fisuram Secancium
complences; CtI eadem Figura Secancium, spatium illud Fyverbolicum, (Dex
modo dicta;) urpore Figura ex Primanorum Reciprocis conslata. 
Nempe, ut C AFTOMT: Ubi Elyperbola Centrum, C; AIZmPEOE CMI, e
CA, Vercex, II. (Ouae aurem de C, A, EI, O, M, dicta Tunc; Pariter intellican-
tur de n, a n.
EF quidem, s Sumatur A FI, aequalis semidiametro Circusi C. A, (ut H8. 325,
326.) Ordinacim ad Asymproram applicatae VO Cunt iptis secancibus CP aequales.
eritque II Vertex Avis. Si vero brevior SE A IY quan AC, in cadem ratione bre.
riores erune VO, quam C. P, respectirae Secantes ad Radtium C A: neque erir II
vercex Axis, sed alterius alicujus diametri; Axis autem vertex sicus erit propius ad
Almprocam, (nempe ubi recta bisecans angulum C, occurrit currx.) Sin lon-
sior lIt A HI quam AC, etiam in eadem ratione longiores erunt VO quam C Y
(ucrobique scilicer aequales Secantibus ad Radium A FI, sive lonsior Cic sire brevior
quam AC:) NeC CxEHI vertex Axis Sed alterius diametri, Vercex aurem Axis
nusquam comparet, quippe qui ibi Fucurus esset ubi recta ansulum C bilceans occur.
reret currae ulera H produtecae. Ouippe recta angulum C bisecans, in tigura Pri-
maria, (ubi AHI ipli A C aqualis,) occurrie recta AH, in H: Secus autem in
Secundariis: Nempe, In Contracta, (ubi AIL brerior quam AC,) utera HL, inera
Hyperbolam: In Procractan (ubi A HI longior quam AC.) citra FI. (inter LI et
absolventes; erunt dux Hly perbolx FTO0, noo liu luvelse Policae communem ha-
bentes Asymptotam C. MI, uE e A C a: Sin quadrantes duo invertis rerticibus com-
Donantur, (uc Hg. 326.) Flyperbolae dux, (00, 1100, commmunem verticem
EI habentes, AsymptOtAS habebIInE OpPOlICIS CML, n H, CommuNeM rerO C. A V.
ua
A) excla L1) Petvblam.
Si velo Duo Circuli Ouadrantes componantur, (ut L8. 325.) Semicirculum