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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 66, page id 824573315:0150
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66
De Sectionibus Conicis.
PROP. 28.
puncto medio (quod Centrum diximus) applicatur
nc C. a. Duoniam nempe omnium rectangulorum e
suldem rectae segmentis comprehenlorum, illud maxi-
num est quod bilcementis comprehenditur; hoc elt,
quadratum Cemits.) Nempe, ubi d Et - r - d erie
+d m 82- at2. IdC09; C2 (-
td. 42
Ordinacim applicatae maxime.
=2l3 quadratum
Rcliguarum vero Ordinatim applicatarum qua
drata (adcog; e iplae Ordinacim. applicaca) quae
centropropius applicantur lunt remocioribus majora,
quae autem habent applicationum puncta a centro 
qualiter remota unt invicem aequalia. Pso enim di-
stancia puncti applicationis a centro quaelibet CD =c,
idcog: Termenta diametri- tranlverlae =F + C, Et =C3 C
nE eorum rectansulum +F2=c2 (= 1d - d3) eC e2
id m d2
 l: adeog: Pront quantitas c
ausetur, ordinacim applicata minuitur (non quidem
Proportionaliter, minuitur tamen, ut patet;) et con-
era; omnium vero maxima quae contro applicatur (ut
dictum est) ubic cranescit propter coincidentiam puin-
ETOTuM C, D.
Duodq3