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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1064, page id 1815201908:1121
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IOnoidis ABC secetuT plaiO Per
saxem BP A, X aliio planis F FC,
FILK basiparallelis, occurrentibus pla-
no APB secundum communes incerle-
CtiOneS L FI, MF.
Dicoparres conoideos eam Corciri inter
Ce racionem quam parres crianguli inseri-
Dei PB A.
Demonstratio.
Fsmenta illa conoiilica parallelis ad balim
planis ableissa eam incer se racionem habene.
quam prilmiara quae tunc ex parcibus crianguli
incercepris iidem planis ductis in communem
alcicudinem AP. Led hXC (UNEDE ParreSCrian-
DEcecur axis conoidis parabolicit L, F, C in parces equales, act aque
peraxem plano AB C, pOnauE FH, FI, C.K parallele BaLI AC X
Dico parces conoidis planis illis ab-
Ccissas rationem continuare quae reperi-
curincer Seriem numerorum 1. 3.5. 7. _c.
Demonstratio.
Vnc enim perces conoidis incer se demon-
DRraEX D eandem sCrUArC raTIONCM quIX rCDC-
ricur in parribus crianguli ABD. Sed ParcCS
ABD Facile ostendutur racionem continuare
quX INCEF SerIEM HUIMCFOTHI L. 3.5. 7. 9. _CC. reDC-
rirursioicur eriam parces concidica candem le
riem concinuane. Ouod tuic demontrandum.
PROPOSITIO CLIII.
Acum conoides parabolicum diuidere secundum datam rationem
lectionebali parallela.
Constructio es demonstratio.
IE CMnoides parabolicum AB C dividendum sectione quxe BaSi AM C aequidi-
AeE, Recundum ratIOnCH R ad L. Hac per axem BT sectio ABL, duct aque AB
dividacur criangulum AB l recta FTC, guae rectae AC, xequidister lecundumracio-
nem K ad C, ex pet HI G pLAHUM POMAEUE D F F, quod bali AM C aequidistet. Dico
conoides
CONOTDES PARABOLLOVH.
PR OP OSIFIO CLI
1064
Cor01.
Bul. et BB _ illa. Ouod exac proponcum.
PROPOSITIOCLTI
sectiones fiane dividentes conoides.