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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)
# Folio 67, page id 85138403X:0075
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DE CTCFOIUIS
diamerer semicirculi, congruat C F laceri trilinei. Deinde su
Der idem planum, moreri incelligatur idem lemicirculus inva-
riaco angulo, a CF ad C B, _ lic deinceps usque ad A; hOc
mocu deleribens Semicrlindrum: Ouem Semieslindrum A sC-
cet planum rectae A C perpendiculariter intillens, abl-indicur Se-
micrlindri Porrio (super C AF eriangulo jacens) ex intinicis Pa-
ralleloorammis conslaea, quorum bales inrelligantur ordinatim-
applicacae in balus Semieplindrica Pernicirculo, alcicudines arich.
mecice. proporcionales triangulum C AF complences. Sin eun
dem semicplindrum secet superticies currata perpendiculariter
inuiltens curra CL. A, abscinderur Semicylindri Fragmentum (AC
enim libet, distinctionis cauta, vocare) SuPeF C Z A F crilineo
milto jacens, ex P’acallelogrammis item intinitis conslatum, quon
rum bases intelligantur eadem 2 Y ordinacim applicarae in Pemi-
circulo, alticudines vero J2 crilineum CZ AF complentes.
67. Hlaec autem duo Colida, nempe Porcio semicylindri, plino
abscissa, e semicylindri Fragmentum, abscissum superkcie cur-
vaca, sunc quoad magnicudinem inrer se xqualia. (PFoPter, tum
binas qualris rectas 2 Y in base, verinque à medio aequaliter re-
mocas, invicem aequales; cum binas ubique his balium rectis
congruentes alcitudines, sire in crilineo misto, sive in criangulo
rectilineo, simul aequales rectae AF.) Ucrumvis siquidem Semi-
cylindro ejusdem balis, semialco, aequale.
68. Sunc aurem eadem duo Colida, quoid momentum respectu
AF rectae, inequalia: Propter eranslatum id corum quod in al-
cero insistie bilineo BA; ad scum BC in reliquo.
69. TH aucem Porcionis, criangulo rectilineo incumbenris,
momencum respectu A F rectae, Z1, DZP2 = L D P2, 2D. (EA
enim Cemicirculus) FBC = Y DP, _ Cemialcicudo Z AF = à P
adeoque porrionis magnicudo, E DP =; quae in 3 D distantiam
centri gravicaris ab AF (per 857) ducta, dac 25. D= P= Porrio-
nis momentum.) Fragmenci vero, crilineo micto infictentis
momentum respectu ejusdem AF reCEX, elt (per S 1O5) = REP=
ina R-14) 2PZ  Da. Unde (I AuTCTatuE POrriOnIS mOmen-
eu 236D2P=, habeTUT - 5- D- P=
D monentoru differentia,
70. Fc consequenter (cum haec momentorum differentia non
aliunde proveniae quam ex segmenti bilineo B A insistentis in
Exum B C cranclatione,) s illa momencorum ditterencia incelli
SaCUI