Philosophiae naturalis principia mathematica . Ttcum 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 punf

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Philosophiae naturalis principia mathematica . Ttcum 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 angulum rectum STR, tanget rectam TR.^ PRO-. PRINCIPIA XX. PROBLEMA XII. 6i

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