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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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DeCauum Centri Cravitatis.
Cap. V.
Menmo nostro debemus: Oui Solidum Hyperbolicum, Conrexo concarum,
Lothiope, acie Dolabra rectilinea obliquo ad Axem tieu polita, conticere doenit.
Cuaus Te du Meds Meocos reduetam, sic vilum elt exponere, et paulo tulius
Diolequi: Ljulque Solidi Sectiones, et Centra Bravilalio, contideraie.
PROP. XXXII.
A. B. Si in quacunque ab Axc Forni distantia, ponatur Acies Dolabra rC-
Ctaque in sicu ad illum axem (non parallelo, ut in Fornando Cylin-
drum, (ed) quocunque obliquo: Formabitur torno Cylindroeides
AIrperbolicum Conrexo concarum.
Et quidem ea Fyperbola; cujus Semi-axis Fran(versis aequatur mine
ma distantix aciei dolabrae ab Are Cylindrocidis (Teu Semi-diame-
ero Basis inscripei Cylindri;) Axisque conjusatUS Cum AEYmPTOTa
cum Faciar anoulum, quem facit Dolabex Acies recta, cum rectaari
torni parallela.
Onde patet mectiodus, Cxlincrocidestorno Formandi, cujus sectio per
axem AF Daca HIY Berbola.
Solidihujus sectiones Plano Factae; si planum iltud sit, ad Axem Solidi,
Rectum; Tunt Circuli.
F. L. Siu ad Axem, minus obliquum quam est ACmptota; FIiples.
P. F.T. Si similiter inclinatum sit atque ipta AIrmprota; sunt Parabola; vet
(si etiam per Centrum sic) Parallelogrammum.
F. G. R. Si adhue Obliguius secet Arem, vel etiam sic Aei Paralletum; Oppo-
M.
sicae Frperbola; vel (haxi parallelum acque per rerticem FIrper-
bolae Genitricis; aut Erperbolam hanc ubiris TaHCaL,) OPPOlIca
Friangula.
Solidi sie contructi (à Centro uerinque aequalicer conciniati) Magni-
cudo, nota est: Ouippe ad Crlindrum circumseriptum, ut 3 L. Y
=4772, 2d3LT F 12FP. Et Centrum graritatis in Cenero Colidis
seu Axismedio.
113 5 13
N.) Semisolidi (plano per Centrum, ad Arem recto, abscisti,) Contrum
11B. 214
Scavitatis, in Axe situm, abscindit axis sui partem ad Contrum, quae
SIE adL EOTUM, uE3 L. Z + 6FT2 ad 6FT + 8F72.,1.
FY Oc quo commodius absolvatur; Temma pramiccam, in meo de esdaiba Fra-
A
ctatu, modo memoraco, intinvatum; Demonstrarione ex meo de Conicis se-
Ctionibus cractatu, prop. 35, 40. Petica. Ad hunc sentum;
Si ad Rectae alicujus puncta quollibet, aequalibus intervallis sumpta, ordinatim.
applicentur Rectae, quarum Quadrata sint, ut numerorum continve consequentium
1, 2, 3, 4, c. quadrata, eodem aliquo vel aquatibus quadratis aucta: duae per ba-
rum extrema reliqua transit Curva, est TEyperbola
Ouippe, (in tis. 27. ibidem, quam hic repeco Hig. 224.) Manilestum est rectas
S A, cales ette quales innuit L emma; (propter C S, Cid, C s, dC. UI L, 2, 3, ec.
eC A communem:) Duxe si in situm sO cransterantur, ad C. d d Ordinatim ap.
plicarx; Asperbolam AOO detignabunt.
Ouodti, manenibus C A, 5O, ordinarim applicatis, incerralla C. d, 8 S, minora
Fuerine vel majora quam nune lunt; vel etiam angulus ACiS, qui jans rectus in
cellioitur, tiat obliquus quiliber: Prodibir ureunque A OO Hyperbola; Sed cujus
aliud exie Lacus rectum, aliusque ad ACumprocon C.M angulus sCMI, aliusque
angulus quem cum diametro taeiant conjugata diameter et ordinatim. applicata.
Demonstratio petitur, ex meis de Conicis Sectionibus PrOD. 35, 4 F. ubi ostendi-
tur, rectas ad Hyperbolae diametrum conjugacam ordinatim applicacas dO; hoc estu
D