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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)
# Folio 329, page id 851387705:0349
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eFOD. XXVIII.
C. Os L C C 5.
Ll0C. 2XY2LL.
Corollaria.
D et ex praemissis: Cum sit e = 1 a - - d: Horum in FHlipS
 quatuor, Diametri transversae. Diametri interceptae. Lateris. Rectiu
e Ordinatim applicatae; daris cribus quibusris, etiam ex reliquum (ma-
Enicudinc) dari. Nempe (disponendo et relolvendo aequationes) erit.
Ordinatim applicata, e = V: 1d -
Ejusque quadracum, e = 1d - , d. -
In EllipE L acus rectum, 1-
Ed = d
Diameter transverta, 1 =
d1 - e
1 - d
Diameter intercepta, d = 31 = V:  V = 7e.
d - a
Et propierea, Distantia puncti applicationis a Centro, 0 = V: Z P
Patet etiam; DE DIaEtEK.TFANEVerIa ad DIAMCLTUM IntCKCCPEam,
sic esse Rectangula quae diximus Majora (diametris intCrCCPtIS PrO-
portionalia) ad Rectangula qua diximus Minora (carum quadratis
Proportionalia,) nempe, 5. d : : Id. = d.
Tem: DE Diameter crantrersa ad Fatus rectum, he quadrata Dia-
metrorum incerceptarum ad Rectangula Minora, (quacratis illis pro.
Portionalia.) Nempe E. 1:: d - d2
Irem; Ot Diameter transrerla, ad interceptam; sic transversx re-
Siduum, ad quartam; qua, ducta in Lacus rectum, Rectanoulum
efticit aequale Ouadrato Ordinatim applicara. Nempe F. d: : t - d.
d
+d d  td d
Tiem; De Diameter transverta, ad Latus rectum; siC Rectangulum
segmentorum transversae, ad Ouacratum Ordinatim applicatae. Nem-
d-d
DC F. 1: : + d = d.-
= C.
Vol; DE Rectangulum segmentorum Diametri transverta, ad Oua-
deatum Ordinatim applicatae; sic esse Diametrum. transverlam ad L. a-
tus. Rectum. (Onde cujustibet FIipseos Latus. Rectum commode re-
Peritur.) Nempe +d -d. e: : t. 1 =
cd = d2
Inde sequitur; Ouadrata Ordinatim applicatarum este Rectangulis
segmentorum Diametri trantrersae proportionalia. Sune enim ubi-
que ut 1 ad t.
Adeoque