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" ... as a line by the motion of a point ; a surface by the motion of a line ; and a solid by the motion of a surface. "
Principles of the Differential and Integral Calculus: Familiarly Illustrated ... - 172. lappuse
autors: William Ritchie - 1836 - 174 lapas
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The Doctrine and Application of Fluxions: Containing (besides what is Common ...

Thomas Simpson - 1750 - 302 lapas
...Magnitudes are to be confidered as generated by the continual Motion of fume of their Bounds or Extremes; as a Line by the Motion of a Point ; a Surface by the Motion of a Line ; and a Solid by the Motion of a Surface. 2. Every Quantity fo generated is called a variable, or •...
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The Doctrine and Application of Fluxions: Containing (besides what is Common ...

Thomas Simpson - 1776 - 576 lapas
...are to be confidered as generated by the continual Moción of fomc of their Bounds or Extremes ; as a Line by the Motion of a Point ; a Surface by the Motion of a Line ; and a Solid by the Motion of a. Surface. 2. Every Quantity fo generated is called a variable, or...
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Encyclopædia Britannica: Or, A Dictionary of Arts ..., 7. sējums,1. daļa

Colin Macfarquhar, George Gleig - 1797
...publication on the fubjeft. In this branch of mathematics, magnitudes.of every Jcind are fi'.ppofed generated by motion ; a line by the motion of a point, a furface by the motion of a line, and a folid by the motion of a furface. And forne part of a figure...
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The Mathematical Correspondent: Containing, New Elucidations ..., 1. sējums

George Baron - 1804
...request of Walter Folger, jua, Naar tucket. DEFINITIONs,. 5 1. Every quantity is here considered as generated by motion; a line by the motion of a point; a surface by the motion of a line; .a solid by the motion of a surface.* f 2. The quantity thus generated is-, called the, fluent or flowing...
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The Mathematical Correspondent: Containing, New Elucidations ..., 1. sējums

George Baron - 1804
...Republished at the- request cf Walter folger, jun, tucAtt. If 1. Every quantity is here considered as rated by motion ; a line by the motion of a point ; a surface by the motion of a line ; a solid by the motion of a surface.* 1 2. The quantity thus generated is called the fluent or flowing...
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Elements of General Knowledge: Introductory to Useful Books in ..., 2. sējums

Henry Kett - 1805
...magnitudes or quantities are supposed to be generated by motion. Thus, a line is supposed to be generated by the motion of a point, a surface by the motion of a line, and a solid by the motion of a surface. Algebra and geometry lend their aid to this sublime science....
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Elements of General Knowledge: Introductory to Useful Books in ..., 2. sējums

Henry Kett - 1805
...magnitudes or quantities are supposed to be generated by motion. Thus, a line is supposed to be generated by the motion of a point, a surface by the motion of a line, and a solid by the motion of a surface. Algebra and geometry lend their aid to this sublime science....
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - 1807
...small parts, but as generated by continued motion, by means of which they increase or decrease. As, a line by the motion of a point ; a surface by the motion of a line ; and a solid by the motion of a surface. So likewise, time may be considered as represented by aline,...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...small parts, but as generated by continued motion, by means of which they increase or decrease. As, a line by the motion of a point ; a surface by the motion of a line ; and a solid by the motion of a surface. §o likewise, time may be considered as represented by a...
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The Principles of Fluxions

Samuel Vince - 1812 - 256 lapas
...PRINCIPLES OF FLUXIONS. SECTION I, DEFINITIONS. \ RTICLE 1. Every quantity is here considered JL\. as generated by motion ; a line by the motion of a point ; a surface by the motion of a line ; a solid by the motion of a surface*. 2. The quantity thus generated is called the fluent, or flowing...
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