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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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C+OP
XXXV
O N I C L 5.
PROP. XXXV.
Corollaria.
D Aet ex dictis: Cum sit h = 1 d + - de: FX horum in LIyPer
b
Bola quatuor, Diametro transversa, Diametro intercepta. Latere-
Recto, e Ordinatim applicata; Dacis cribus quibulris, etiam reliquum
(maenicudine) dari. Nempe (disponendo et resolrendo aequatio-
neS) exitu
In Trper.
d  d
1
Ordinatim applicata, h = V: 2d + - d2: = V -
bola, Eatus rectum, I =
Ed + d.
Diameter trancrerta, t= H - d
d + d2
Diameter. intercepta, d = Y:  8 +, b: - ; 1.
Adeoque: Diametrorum transversae ex intercepta a0oregatum, + F d
=V: 3V +, h: + 31.
Dictantia puncti applicationis d Centro, c = 1: : c + = v
Patet etiam; SE Diameter-Frantrersa ad interceptam; sic ese Bi-
norum Rectangulorum ea qua diametris interceptis proportionalia, ad
Rectansula earum quacratis proporcionalia. Nempe, t. d: : ld.= d.
stem; Ot Diameter transrersa ad Latus rectum; ita quadrata dia-
metrorum interceptarum ad Rectansula quacratis illis proporrionalia.
Nempe F. 1: : d2. = d2.
Item; VE Diameter traulrerla, ad interceptam; ita utriusque 20-
Sregatum, ad quartam; quae, ducta in Latus rectum, Rectanoulum
eHicit aequale Ouadrato Ordlinatim applicata. Nempe t. d:: t + d.
+ + d
+d + d +d + a
e
Et
1 = B = 1d F - a2
Adeoque; SE Diameter- transverla, ad L atus- rectum; AC R ect anon-
lum sub Diametro intercepta et aggresato diametrorum tranlverla et
incerceptae, ad quadratum Ordinarim applicata. Nempet. l:: + d + d.
Fd F a
1 =h = 1d + - d.
Vet, OE Rectangulum Diametro intercepta, et aggregato Diame.
trorum eranversae ex interceptae comprehientum, ad quadratum Or-
dinatim applicatae: sic esse Diametrum trantrerlam ad Lacus- Rectum.
(Onde. Arperbola Latus Rectum commode reperitur.) Nempe,
Ea = d. B: : t. 1 =
2d + 4
inde