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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 749, page id 851387705:0769
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PEOP. XVI. De Calculo Contri Cravitatis.
R2 2 - f 5 ~ R - 5
5R + 2V;  propterea ejuldem respectu Y A (aciei SuX) momencum
35 R = 35V R2 = 125 R (Solidique correspondentis momentum est hujus du-
plum.) Oux quidem Onsula momenta, momenris respectiris Onsulae sectori
Ba A inGltentis, aciem habencis P A, hoc elt, 8a P3 + , +5 R3 + 5V X  12SA
rclp. 7a; e relp. T A, 3a R3. F 3+.s R3 F 545V R2 = 12 5 R; UCS W. ) Tublata:
relinguune Ongulae Sectori BC A inCiltentis, aciem habentis TA, momentum respectu
7893 a R3 = E5 R3 f SsV R2 (idem nempe quod Ongulae eidem BC. A inliltencis,
aciem habentis ra, relpectu YA; propier alcicudines ee distantias ubique recipro-
catas;) de respectu (aciei sie) YA, 3a R3 = 35 R = 3sVRE; (hujulque
duplum, elt momentum correspondentis demisolidi, respectu sui axis conrertio.
nis:) Onsulaque haec momenta, per magnicudinem Z a R 2 = = 5R 2 (uEST. proP.
praececl.) divica; exhibene ejusdem Ceniri etav. dillant. 2 r a 3a  - 3 5 R f 3 50
eu a FA, 25 a R - 135R- 350
12 a - 85
12 a - 85i Cquae, obserracis obtervandis, semisolidis ac.
commodari tacile poterune.)
Eadem haberi polerune, ope Prianguli BY C, et Ongularum huie intisten.
rium.
Oux aurem huic insistit Ongula semiquadrantalis, aciem habens D C; est Pyra-
mis: Cujus verter C, alcicudo C V = x, BaliS (rectae B V intistens) BVLC V =5∞
adeoque prramidis magnicudo; sX 2; Distancia Ceneri gtaricatis d DC, Z V; adc0.
que momentum Pyramidis relpectu DC, L5 X 3
Si vero ponatur Vngula axisr a Begne V Supra Centrum; vel aeies Y A, EL.
que V intra Cencrum; Pyramidi huic subjungendum, est Prilma, super eadem base.
alricudinem habens C a, vel C A, hoc est R; cujus itaque (propier Frianouli
magnicudinem ZSX,) magnicudo erit Z Sx R. Centrique graricaris a DC diltan.
tia (eadem quippe quae Fransuli,) zu; adteoque momenum respectu DC.
SX 2 R.
Focius icaque Sngula ipli BV C criangulo insittentis; aciem habentis Y a Vel
PA, tangentem remociorem; ex Prilinace et Pyramide confsaca: MOENEre
spectu DC, cl, 35 N = R + a
Acque hoc per Ungula magnicudinem : Sx R F 5sv dirisum, extribet Centri
Bravicaris d DC distanciam +. r P F 3 ~
6 R + 4 X
 adeoque ab Ungula acie, scurangence
remociore, (incelliee, ut alibi, a perpendiculari plano luuie intistence,)
AR F 4 + i d propiore, R - 4 v R + 3 ~; Adeoque momentum respe.
6K = 4 X
R + + N R = 3 ~
Au remotioris tangentis (aciei TuX) L S X R + 3S ~ R + L 5∞3; de respectu ran-
sentis proxioris (quae aciei opposita est) : S W R = - = 5 ~3
Si veroponatur Ingula acies ra, _ V intra Centrum; vel acies Y A, 8 
supra Centrum; Prismati anterenda est illa Prramis, (ejusque momento motmen
rum hujus:) Adeoque Ongula magnicudo, etitus 25 v X - 3s x; momencum respectu
DC, 35 ~ R - = 543; Centrique gravicatis d D C distancia, + ~ R = 3 _
Acie, teu rangence propiore; P-
6R - 4a i e ab
LX R =3; a remoriore (quae aciei oppo.
6R - 4 X
Eiua ett) P. + 4 ~ N - 3 n: Pe momencum respecta aeiei (seu roneenris pro.
6R = 4 2
Pioris) ZSNR= -35 _2 R + + 543; et respectu cangentis opposica (remorioris)
S_ R = 2 5
Hoc est: Ongulae Priangulo B V C insistencis, aciem tabeneis ra; momehium
respectu iptiusFa; est Z 5a P = ZS ~ E R F a S N3, (prout supra intrare Centrum
Tverit V:) EC respectuT A, SN R = Z5∞3, (Cve suvea Ere intra Centrum
tuerit V, proprer alcicudinum et diltanciarum reciprocacionem.) Cenirique era-
Bbbbb 3
vitacis