Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 2.djvu/456

 ii APPENDIX. And'E°2, ° = (Anza = 374'-'.§ 'E'=»-fdd-~zdx—xx:)—au--zdx—xx. Alo?2 -:fill--f I;z "': zafx—ld.-xx--xxz) gl; PE ' x -aa: Th. P Z e T 7; q z7x . Therefore 2-nv#-1-J-  'dF' z of xr” '/ - da-P.   x ls” the flu- xion of the attractive force of the sphere on the body P, or the ordinate of a curve whose area represents that force. But the fluent of .Q is x;/ and the fluent of X3 “+d” ""7"f '- /    '“ r zdx IS dd 4/ Aa- zdx (by Tak. 1. Fmnq.. Caja.. Quad:-.of Curv.) U Therefore x-f-°i?'?;f, /-aa-|-zdxtis thege. nerai expreion of the area of the curve. Now let xza, then area: (4- ' 'f1£f."/-“,, d¢ 1- - Q: - O . 3 I ii' -1-r 3 dd A Alolet x- -;¢, then area = (¢- '/-¢¢, ..-gd; r)d' ""°f' ' B 3 = T 1 0 the force whereby the phere attracts the body 3 P Q5 as (A-B or as:-.)3-éS'. .-4- . M 54 %PS* az, z.. The
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