Philosophiae naturalis principia mathematica . 6o PHILOSOPHIiE NATURALIS ^ -a^B Da^ioTu methodo five dentur duo punfta ?,/, five dus tangentes TRgoRifo&vii: f r, five punftum T & tangens Xi?,deicribendi funt circuli duo. Sit Heovum interfeftio commu- nis, & umbilicis S, H, axe illo dato defcribatur Trajeftoria. Diqo fa(51um. Nam Trajeftoria defcripta (eo quod T H•+? ST in Elhpfi, & T H— STin Hy- perbola asquatur axi) tranfibit per punftum ?*, & (per Lera- ma fuperius) tanget redam TR- Et eodem argumento vel tranfibit eadem per punrtaduo jP, ^, vel tanget reftas duas TR, tr. ^ Of PROPOSITI
Philosophiae naturalis principia mathematica . 6o PHILOSOPHIiE NATURALIS ^ -a^B Da^ioTu methodo five dentur duo punfta ?,/, five dus tangentes TRgoRifo&vii: f r, five punftum T & tangens Xi?,deicribendi funt circuli duo. Sit Heovum interfeftio commu- nis, & umbilicis S, H, axe illo dato defcribatur Trajeftoria. Diqo fa(51um. Nam Trajeftoria defcripta (eo quod T H•+? ST in Elhpfi, & T H— STin Hy- perbola asquatur axi) tranfibit per punftum ?*, & (per Lera- ma fuperius) tanget redam TR- Et eodem argumento vel tranfibit eadem per punrtaduo jP, ^, vel tanget reftas duas TR, tr. ^ Of PROPOSITIO XIX. PROBLEMA XF. Ctrca datum umhtTtcum TrajeBortam Paraholtcam defcrthere, qua tranfihit per punBa data, ^ reBas pofttiQne da-las continget, Sit J^umbilicus, ^punftum & TR tangens Trajedtoriae defcii-bendae, Centro y<y defcribe circu-lum FG. Ab umbilico ad tangentem demitteperpendicularem ST,8c produc eam ad F, ut fityFaequairs ST Eodem modo defcribendus eltalter circuius/^, fi datur alterum punftum/;vel inveniendum alterum punftum v, fi daturaltera tangens tr; dein ducenda refta IF quaetangatduoscirculos FG, fg,{\ dantur duopunc-ta i, /, vel tranfeat per duo punfta V, v, fi dan-tur duae tangentes TR, tr, vel tangat circulumFG & tranleat per punctum Vy fi datur punc-tum P & tangens TR. Ad FI demitte perpendicularem SI, eam-que bifeca in K\ & axe SK, vertice principali K defcribatur Pa-rabola. Dico factum. Nam Parabola, ob aaquales SK & IK, ST& FP, tranlibit per punctum T; & (per Lemmatis xiv Corol. 3.)ob ctquales JT & TV8c
Size: 1292px × 1934px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookauthornewtonisaacsir16421727, booksubj, booksubjectmechanics
