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" E, &c., and makes 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 SDE to SCD, and SEF to SDE. And therefore, in equal... "
Commentaries on the Principia of sir Isaac Newton respecting his theory ... - 46. oldal
szerző: Joseph Denison - 1846
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The Mathematical Principles of Natural Philosophy, 1. kötet,1. kiadás

Isaac Newton - 1803 - 310 oldal
...acts fuccefiively in C, D, E, &c. and makes the body, in each 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....

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., 8. kötet

John Mason Good - 1813 - 830 oldal
...triangle SRC, ami therefore also to the triangle SAB. By the like argument, if the centripetal torco acts successively in C, D, E, &c. and makes the body...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,...

The London encyclopaedia, or, Universal dictionary of ..., 2. rész,15. kötet

Thomas Curtis (of Grove house sch, Islington) - 438 oldal
...to the triangle SAB. By the like argument, if the centripetal force acts successively in C, D, £, &c., and makes the body in each single particle of...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...

Cosmical Evolution: A New Theory of the Mechanism of Nature

Evan McLennan - 1890 - 414 oldal
...diagonal of a parallelogram, in the same time that It would describe the aides, by these forces apart. makes the body, in each single particle of time, to describe the right lines CD, DE, EF, etc., they will all lie in the same plane; and the triangle SCD will be equal to the triangle SBC,...

Cosmical Evolution: Critical and Constructive

Evan McLennan - 1916 - 538 oldal
...the triangle SAB. By the like argument, if the centripetal force acts successively in C, D, E, etc., and makes the body, in each single particle of time, to describe the right lines CD, DE, EF, etc., they will all lie in the same plane; and the triangle SCD will be equal to the triangle SBC,...

Reasoning with the Infinite: From the Closed World to the Mathematical Universe

Michel Blay - 1998 - 230 oldal
...the plane defined by ASB. The motion due to central force is a planar motion: Join SC, and because SB and Cc are parallel, the triangle SBC will be equal...CD, DE, EF, &c., they will all lie in the same plane [. . .].63 This first point established, Newton goes on to the second one, concerning the expression...
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Isaac Newton's Natural Philosophy

Jed Z. Buchwald, I. Bernard Cohen - 2001 - 380 oldal
...in the plane defined by ASB. Motion under a central force lies in a plane: Join SC, and because SB and Cc are parallel, the triangle SBC will be equal...particle of time, to describe the right lines CD, DE, FE, &c., they will all lie in the same plane. 22 Having established this, Newton goes on to express...
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A History of Mathematics: From Mesopotamia to Modernity

Luke Hodgkin - 2005 - 302 oldal
...of the Laws) will be found in C, in the same plane with the triangle ASB. Join SC, and, because SB and Cc are parallel, the triangle SBC will be equal...they will all lie in the same plane; and the triangle SCO will be equal to the triangle SBC, and SDE to SCO, and SEF to SDE. And therefore, in equal times,...
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Jean-Jacques Rousseau: Political principles and institutions

John T. Scott - 2006 - 448 oldal
...also to the triangle SAB. By the like argument, if the centripetal force acts successively in C, D and makes the body, in each single particle of time, to describe . . . right lines, they will all lie in the same place; and the triangle SCD will be equal to the triangle...
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