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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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18.8
DE CTCLOTDL.
ridium: abscisa prismaris porrio aequalis erit solido ex Trilinei
C A F convertione circA C F Focta; (tunc enim Triangulum
I R a aquale het circulo radii LA; reliquaque respective cri
angula reliquis circulis parallelis:) Ouod Eolidum, cantisp er
durm illius maonicudo inmores: ac, ap pel labir.uS A
98. Solidum igitur ex omnibus Frianguliso F P _C, vel Pa-
rallelogrammis V Br P uc in respectira; rectas 2Z, vel periphe.
rias his rachis descripras; ad solidum ex iildem criangulis vel
Parallelosrammis in respectiras rectas 2 Y, vel periphecias tis
radiis descripeas; ett ut 13, ad 2 R = P, (per 5 76, 77:) fdeo-
que noncuplum illius ad duxlum hujus uc 9 A ad 4 PEP: C ui
si addatuF ratiO 5 ad 2, liVC LO R= P ad 4 Re P; habebIEuE FaCIO
Folidi ex conversione Semicreloidis, ad Colidum ex convertione
Semicirculi, (circa axeM C F,) ucD A F 1O F~ P ad 4 R= P
Per 830.
79. Porro, eorundem Solidorum ad invicem ratio (ic alias
colligitur. Solidum ex convertione Semiercloidis (Fig. 2. Vel 8.)
ad Solidum ex convertione Sennicirculi, (cIFCA AXCM C F,) esL, UE
omnes circuli radiorum Z. Y (aequalibus ab invicem incervallis
SumPEOrum,) ad omnes circulos radiorum 2 Y respective; hoc
elt, uc omnia quadrata Z Y, ad omnia quadraca 2 X; hoc elt, uE
omnia 2 Z 9+ 2 ()Z2Y + Z Zgad omnia 2 Y 9.
80. Sed onia 2 YG (peF PrOP. X33, 235. Arichm. Infin.)
aequane Z D2, vel = R. (Sunc enim omnes ordinatim applica
raein Cemicirculo, uE series N: a D = a =: adeoque CarIM qua-
draca, uc series aD a 2: quae est ad seriem aequalium, nempe
D
cories sumprum, hoc elt, ad D=; uc = = Z, ad 25 SIVCUE s
ad6.)
S2. Item omnia restangula Z. 2 Y, aequantur solido cylindri-
co, balem habenti Temicirculum C D F, alcicudines veroz Z re-
spectire sumptas, hoc est (Propter Z Y = MV, e Z Z+ M m -
AF NnFLI, _C,) Colido Cylindrico habenti basin C DF.
quadrancem, alcicudinem vero ubique A F; hoc est a RP =: (quod
HIE ex Z RP quadrance circuli genitoris, in A F = Z P ducto:) A
deoque omnium rectangulorum dupla, (ive 2 Y Z. 2 Y, TunE FPF 2
82. Sune igieur 4 RP +Z RPEChOC eA, omnia ZY9F 2N LZY,
una cum omnibus 2 Z. 9. aequalia omnibus quadraris Z Y. LE
pro rndiorum quadracis subsicuendo circulos, hoc est, dividen