Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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<
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>In conſtructione Corollarii hujus poſtquam ducitur
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LK
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ſecans </
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CE
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in
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i,
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producere licet
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iE
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ad
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V,
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ut ſit
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EV
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ad
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Ei
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ut
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FH
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HI,
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& agere
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Vf
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parallelam ipſi
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BD.
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Eodem recidit ſi centro
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i,
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in
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tervallo
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IH,
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deſcribatur circulus ſecans
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BD
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in
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X,
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& producatur
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iX
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Y,
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ut ſit
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iY
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æqualis
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IF,
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& agatur
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Yf
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ipſi
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BD
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parallela. </
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LIBER
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PRIMUS.</
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>Problematis hujus ſolutiones alias
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Wrennus
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&
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Walliſius
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olim ex
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cogitarunt. </
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PROPOSITIO XXIX. PROBLEMA XXI.
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Trajectoriam ſpecie datam deſcribere, quæ a rectis quatuor poſitione
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datis in partes ſecabitur, ordine, ſpecie & proportione datas.
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>Deſcribenda ſit Trajectoria
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fghi,
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quæ ſimilis ſit Lincæ curvæ
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FGHI,
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& cujus partes
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fg, gh, hi
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illius partibus
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FG, GH, HI
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ſi
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miles & proportionales, rectis
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AB
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&
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AD, AD
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&
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BD, BD
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&
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CE
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poſitione datis, prima pri
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mis, ſecunda ſecundis, tertia ter
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tiis interjaceant. </
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>Actis rectis
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FG,
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GH, HI, FI,
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deſcribatur (per
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Lem. </
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<
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>XXVII.) Trapezium
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fghi
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quod ſit Trapezio
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FGHI
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ſimile & cujus anguli
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f, g, h, i
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tangant
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rectas illas poſitione datas
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AB, AD, BD, CE,
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ſinguli ſingulas
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dicto ordine. </
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<
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>Dein circa hoc Trapezium deſcribatur Trajectoria
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curvæ Lineæ
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FGHI
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conſimilis. </
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