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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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860
Calculo Centri Cravitatis.
C ap. V.
Fig. 189. Non autem erat necesse, in auxilium adrocare S W. proP. 13. Sed per metho-
dum illam (saepius adhibitam) Cx prov. 10. hujus pecitam, absolri posset nego
eium: Fademque rem absolret in aliis ( uc dictum cst) Superticiebus Columnalt
bus, dummodo Curra basis, partesque sux, noca habeane tum Magnieudites c
Centra graritatis.
Si rero exposita sit Cylindri (non Recti, Led) Scaleni superticies; _ IH IE
290. Oua ad singula Perimetri balis puncta l aequalirer ab inricem distica) obl-
que, callunt recta (axi Cytinut pat alcta) Suiperticiem curram exlincdraceam com
plentes; neque habebune ab inricem eandem quam respectira balis puncta distan-
riam, (sed minorem, propter obliqua qua repraesentant parallelosramma, quo-
rum lacicnudo minor est quam est balium lonsitudo;) neque distantias invicem x
quales, (propter inaqualem inclinationem ad basis perimetrum.) Seue enim na-
beant illa ad planum balis Cylindri eandem omnes inclinationem; non camen can-
dem habent omnes ad curram balis perimerrum; (guod si opus ellet, tacile est
demonstratm; sed consideranti, clarius per se liquebit, quam ut id Sic opuS.) Ouo
sit, ue Parallelogramma, quae reprxesentant rectae illae, superticiem complentia, ne
que Rectansula repucanda Sint, led neque aequaliter inelinata; (adeoque nec aeque
rata, veut aequales BaleS HaDCHCIa.)
Acque ob harum considerationum priorem, erenit, quod Curra Superticies Cy.
lindri Scaleni non (ue Recti) aequetur tacto ex Cylindri lacere in verimetrum
balis (hoc est, in ageregacum balium omnium Parallelogrammorum qua repraesen.
lene illae rectae) dueto: Sed minor eo lic. Oua consideratio communis etiam cst
Cylindri solido; quod minus cst, quam Factum ex latere Cytindri scaleni in batis
planum ducto, (hoc est, in aecresatum omnium balium Prismatum, quae repra
lencant rectae, solidum juxca det. q. complentes;) quoniam Prismata solidum com-
plencia, non sunc (ue in Cylindro recto) Recta, sed Scalena. Sed, cum line
aequalicer inclinata, ( eanidem urique ad planum balis inclinationem habene,
quam AXis Cslindri,) in eadem ratione minuuntur (propter inclinationem) omnia
nempe, in ca ratione quam habet Cylindri Alcitudo aet Lacus TuUM. Adeoque
Cxtindri Solidum aequale tic lacto ex (non Latere, ut in Cylindco Recto, sed) A1.
cieudine C AtaPL MM Balem ducla
Ob polteriorem rero contiderationem, (quod Rectae in Superticie Cylindri Sea
eni non tinc, ad batis Periecrum, Aqualiter inclinata,) evenic, quod non (ut
in Solido Fiebat) una aliqua recta, qua sic communis omnium Parallelogrammo.
rum Alcitudo, pro Latere subllituenda sic, in Balis Perimerrum ducenda, quo ha-
beatur Area; Sed, pro aliis acque aliis Perimetri punctis, alixe atque alix rectae;
propter variatam in lingulis punctis inclinationem ad Balis Perimetrum, adcoque
Parallelocrammorum Alcicudinem.
Huic naque quo subreniatur incommodo; Si exponatur consideranda (fie
290.) Cstindei Saleni hB55 superticies curra; nexicclis batibus BA5, b a5, (qua
TUNE