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# Title: Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets (shelfmark Leibn. Marg. 43:3)
# Folio 474, page id 82327652X:0502
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474
L F TTRF S
metri; quater, si dati fuerint sex; quinquies, si dati fuerint
septem, es sic in infinitum.
Deinde ex terminis oltima multiplicatione productis, eorumue
multiplis per solam addirionem es substractionem simul junetis,
exursit aequatio nullis asommetriis intricata quae priori datae
aequipollet.
Ita in dato exemplo sunt (ex termini asymmetri, quos sie
scribo;
(+ b b F 2 b a F a a.
B a = a a Y Z Z + d a F a a  mai d d = a s  r a t a a
Si autem semel quadrare ducti producunt terminos vizinti ex
unum duntaxat. P.Fotandum enim est cuiu scunque termini omnes
partes (quando habet plures) simul junctas esse retinendas;
nec ante finem operationis cum aliorum terminorum partibus,
quamuis plane similibus, confundendas. TTi autem 22. termini
quadrare multiplicati, producuni multo plures; Sed quia istae
multiplicationes peramanuensem fieri possunt, lapsusque calami
amanuensis a perito Analysta facile emendantur, operationas
prolixitas inter eius difficultates non est muneranda; Et noui sane
breviorem, sed quae non ita peramanuenfem porest absolui.
TTic autem peto à Domino Fermat, nec non à Domino de
Roberual, (e quidem praecipue ab hoc oltimo, cum enim oc-
cupet Cathedram Rami, tonetur ex officio a d eiusmodi quaestiones
respondere, vel ista Cathedra se indirnum esse debet fateri)
peto inquam ab ipsis quomodo inveniendum sit quinam ex terminis
olrima multiplicatione productis addendi sint, es quinam sub-
trahendi, et exureat quaesita aequatio. Nec praetendere debet D.
de Roberual, 2+ solet, non istam multum temporis exizere, seque
esse aliisnecotiis occupatum, affirmo enim, at que cum opus erit
demonstrabo, nihil à mehic peti, quod non possit a perito ana-
lysta brenissimo tempore inueniri, profiteorque me in hac methoda
quaerenda e invenienda, nec non etiam ad omnes asymmetria
species extendenda, vix medium hora quadrantem impendisse.