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" EF, &c., they will all lie in the same plane; and the triangle SCD will be equal to the triangle SBC, and SDE to SCD, and SEF to SDE. "
The First Three Sections of Newton's Principia: With Copious Notes and ... - עמוד 20
מאת Isaac Newton - 1826 - 183 דפים
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The Mathematical Principles of Natural Philosophy, כרך 1

Isaac Newton - 1729 - 444 דפים
...time,to defcn'be the right lines CD, DE, EF, &c. they will all lye in the fame plane; and the trianqle SCD will be equal to the triangle SBC, and SDE to SCD, and SEF to SDE. And therefore in equal rimes, equal areas are del'crib'd in one immoveable p'ane : and, by composition,...
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A Demonstration of Some of the Principal Sections of Sir Isaac Newton's ...

John Clarke - 1730 - 382 דפים
...of Time. Thefe Lines will all lie In the fame Plane (£yProp. 2. andjth Bookxi. of the Elements ;) and the Triangle SCD will be equal to the Triangle SBC, and SDE to SCD and SEF to SD E. Thefe fmall equal elementary Areas therefore, are defcribed in equal Particles of Time, in an immovdable...
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Encyclopædia Britannica: Or, A Dictionary of Arts, Sciences ..., כרך 13,חלק 1

Colin Macfarquhar, George Gleig - 1797 - 450 דפים
...the right lines CD, DK, Newtonian EF, &c. they will all lie in the fame plane ; and the Ph.lofophy. triangle SCD will be equal to the triangle SBC, and ' * SDE to SCD, and SEF to SDE. And therefore, in equal times, equal areas are defcribed in one immovcsble plane ; and, by compofition,...
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The Mathematical Principles of Natural Philosophy, כרך 1,מהדורה 1

Isaac Newton - 1803 - 310 דפים
...fingle particle of time, to defcribe the right lines CD, DE, EF, &c. they will all lie in the fame plane; and the triangle SCD will be equal to the triangle SBC, and SDE to SCD, and SEF to SDE. And therefore, in equal times, equal areas are defcribed in one immovable plane : and, by compofition,...
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The Mathematical Principles of Natural Philosophy, כרך 1

Isaac Newton - 1803 - 344 דפים
...to defcribe the rightlines CD, DE, EF, &c. they will all lie in the fame plane; and the triangle SCO will be equal to the triangle SBC, and SDE to SCD, and SEF to SDE. And therefore, in equal times, equal areas are defcribed in one immovable plane : and, by compofition,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., כרך 8

John Mason Good - 1813 - 830 דפים
...the body in each single particle of time to describe the right lines CD, DE, EF, &c. they will all lie in the same plane ; and the triangle SCD will be equal to the triangle SBC, and BOB to SCD, and SEF to SDE. A^nii therefore, in equal times, equal areas aredescribe»! in one imuiuveable...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., כרך 16

1816 - 778 דפים
...each fingle particle of time to defcribe the right lines CD, DE, EF, &c. they wi:l all lie in the fame plane ; and the triangle SCD will be equal to the triangle SBC, and SDE to SCD, and SEF to SDE. And therefore, in equal times, equal areas are defcribed in one immoveable plane ; and by competition,...
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The London encyclopaedia, or, Universal dictionary of science ..., חלק 2,כרך 15

Thomas Curtis (of Grove house sch, Islington) - 438 דפים
...describe the right lines CD, DE, EF, &c., they will all lie in the same plane, and the triangle SC D will be equal to the triangle SBC, and SDE to SCD, and SEF to SD E. And, therefore, in equal times, equal areas are described in one inmoveable plane ; and, by composition,...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1849 - 588 דפים
...body to describe in the successive periods of time the straight lines CD, DE, EF... these will all lie in the same plane, and the triangle SCD will be equal to SBC, SDE to SCD, and SEF to SDE. Therefore equal areas are described in the same plane in equal times;...
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Newton's Principia, First Book, Sections I., II., III.: With Notes and ...

Isaac Newton, Percival Frost - 1878 - 322 דפים
...to describe in the successive intervals of time the straight lines CD, DE, EF, &c., these will all lie in the same plane ; and the triangle SCD will be equal to the triangle SBC, and SDH to SCD, and SEF to SDK Therefore equal areas are described in the same fixed plane in equal intervals;...
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