Prop. XIX. Prob. XI.
Circa datum umbilicum Trajectoriam Parabolicam describere, quae tran∣sibit per puncta data, & rectas positione datas continget.
Sit S umbilicus, P punctum & TR tangens trajectoriae descri∣bendae.
[illustration]
Philosophiæ naturalis principia mathematica autore Js. Newton ...
About this Item
- Title
- Philosophiæ naturalis principia mathematica autore Js. Newton ...
- Author
- Newton, Isaac, Sir, 1642-1727.
- Publication
- Londini :: Jussu Societatis Regiae ac Typis Josephi Streater ...,
- 1687.
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- Subject terms
- Mechanics -- Early works to 1800.
- Celestial mechanics -- Early works to 1800.
- Link to this Item
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http://name.umdl.umich.edu/A52251.0001.001
- Cite this Item
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"Philosophiæ naturalis principia mathematica autore Js. Newton ..." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A52251.0001.001. University of Michigan Library Digital Collections. Accessed June 11, 2024.
Pages
Centro P, intervallo PS describe circulum FG. Ab umbilico ad tangentem demitte perpendicularem ST, & produc e∣am ad V, ut fit TV aequalis ST. Eodem modo describendus est alter circulus fg, si da∣tur alterum punctum p; vel inveniendum alterum punctum v, si datur altera tangens tr; dein ducenda recta IF quae tangat du∣os circulos FG, fg si dantur duo puncta P,
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p; vel transeat per duo puncta V, v, si dantur duae tangentes TR, tr, vel tangat ci••culum PG & transeat per punctum V, si da∣tur punctum P & tangens TR. Ad FI d••mitte perpendicula∣rem SI, eam{que} biseca in K, & axe SK, vertice principali K de∣scribatur Parabola. Dico factum. Nam Parabola ob aequales SK & IK, SP & FP transibit per punctum P; & (per Lemma∣tis XIV. Corol. 3.) ob aequales ST & TV & angulum rectum STR, tanget rectam TR.Q.E.F.