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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 209, page id 175906937X:0233
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=233
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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esi
2
L T B. I. C A P. TII.
209
eaS; ita ut (quemadmodum de directrice _ secante jam
demonstratum est,) quadrata rectarum quae alteri
iplarum applicantur alteri aequidistane, ita se habeane
ad rectangula sub partibus per applicationem factis, uc
quadracum alterius ad quadrarum ejuldem quae per
applicataS LCCATUF.
Echaec quidem, cui epplicatae insistune, eransverla;
illa vero, cui eaedem aequidistane, secunda diamerer
vocabitur.
Caeterae autem omnes, per centrum ductx ac u
erinque Fllipsi cerminatae, diametri simpliciter di-
CENEUE.
Rectam lincam qua transverla secundaque diame-
erotertia est proportionalis, Lacus Rectum live Para-
metrum rocabimus ad transverlem diamerrum perti
MenteMI.
Nocandum tamen est, si anculus rectus (IE, 2C pun-
ctum ab ueroque describentis termino aequoliter distet,
curram, qua mocu ejusdem puncti, uei praedictum eAt,
describitur, circumterentiam Circuli csc.
Corollarium 1.
La ipla demonstratione c collatione tigura pluta cunse
cunda manifectum est: in Ellipl, conjisatorum axuI TraMI-
verlum etiam secundum esse, et contra. Sie m Llrere
vel illi axi applicaca sic, eodem modo semper probabitur ese
quadrarum ejuldem applicata ad rectangulum sub partibus axis
cui applicatio tic, uc quadratum axis alterius ad quadratum axis
pradtet esus per applicatam secarur.
Corollarium 2.
APParet POrro rectam p pmcu adctam directrici paralle
lam, hoc est, eam, qua per cmn secundx diametrierans
veltae