Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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Corol.
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Hinc recta duci poteſt cujus partes longitudine datæ rectis
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tribus poſitione datis interjacebunt. </
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>Concipe Triangulum
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DEF,
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puncto
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D
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ad latus
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EF
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accedente, & lateribus
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DE, DF
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in di
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rectum poſitis, mutari in lineam rectam, cujus pars data
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DE
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rec
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tis poſitione datis
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AB, AC,
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& pars data
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DF
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rectis poſitione da
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tis
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AB, BC
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interponi debet; & applicando conſtructionem præ
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cedentem ad hunc caſum ſolvetur Problema. </
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LIBER
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PRIMUS.</
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PROPOSITIO XXVIII. PROBLEMA XX.
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Trajectoriam ſpecie & magnitudine datam deſcribere, cujus partes da
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tæ rectis tribus poſitione datis interjacebunt.
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>Deſcribenda ſit Trajectoria quæ ſit ſimilis & æqualis Lineæ cur
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væ
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DEF,
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quæque a rectis tribus
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AB, AC, BC
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poſitione datis, in
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partes datis hujus partibus
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DE
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&
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EF
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ſimiles & æquales ſeca
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bitur. </
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>Age rectas
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DE, EF, DF,
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& trianguli hujus
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DEF
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pone an
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los
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D, E, F
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ad rectas illas poſitione datas (per Lem. </
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>XXVI) Dein
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circa triangulum deſcribe Trajectoriam Curvæ
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DEF
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ſimilem &
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æqualem.
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q.E.F.
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