Philosophiae naturalis principia mathematica . \ JungaturOS, ^ producaturea adl, utfttS^ aqualis1S O. Et ft Cometa B moveatur in arcu C B A, ^ «^«//^rtBfecans AC i« E: ^/c^ quodpunBtim E ahfcindet dechordaAC fegmentum AE tempori proportionale quamproxime. Junga. PRINCIPIA MATHEMATICA. 449 Jungatur enim EO fecans arcum Parabolicum AB C in T^ &aga- fc^ /j*,tur |W,X quae tangat eundem arcum in vertice ji4 & aftas EO occur- ^ rat in X\ & erit area curvilinea AEXfA,A ad aream curvilineamA CT[A, A ut AE ad AC. Ideoque cum triangulum AS E fitad triangulum ^J^C in eadem ratione., erit area tota ASEX^A
Philosophiae naturalis principia mathematica . \ JungaturOS, ^ producaturea adl, utfttS^ aqualis1S O. Et ft Cometa B moveatur in arcu C B A, ^ «^«//^rtBfecans AC i« E: ^/c^ quodpunBtim E ahfcindet dechordaAC fegmentum AE tempori proportionale quamproxime. Junga. PRINCIPIA MATHEMATICA. 449 Jungatur enim EO fecans arcum Parabolicum AB C in T^ &aga- fc^ /j*,tur |W,X quae tangat eundem arcum in vertice ji4 & aftas EO occur- ^ rat in X\ & erit area curvilinea AEXfA,A ad aream curvilineamA CT[A, A ut AE ad AC. Ideoque cum triangulum AS E fitad triangulum ^J^C in eadem ratione., erit area tota ASEX^Aad aream totam AS CT^ A ut AE ad AC. Cuni autem |0fit ad SO ut 3 ad I, & £^0 ad XO in eadem raiioae, eric SXipfi E B parallela : & propterea fi jungaiur B X, erit triangulumSEB triangulo XE B aequale. Unde fi ad aream A S E X ^ Aaddaiur triangulum EXB , & de fumma auferatur triangulumSEB, manebit area A S B X(a. A arccB A S E X y. A ^0^x1^X1^,atque adeo ad aream A S C Ty. A ut AE ad AC. Sed arcseA S B X i*, /1 sequ
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