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" Much more will the rectilinear figure comprehended under the chords of the evanescent arcs ab, be, cd, &tc., ultimately coincide with the curvilinear figure. COR. 3. And also the circumscribed rectilinear figure comprehended under the tangents of the... "
The Three First Sections and Part of the Seventh Section of Newton's ... - עמוד 39
מאת Sir Isaac Newton - 1850 - 163 דפים
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Institutes of Natural Philosophy: Theoretical and Practical

William Enfield - 1811 - 428 דפים
...the chords of the evanescent arcs abt be, cd, &c. ultimately coincide with the curvilinear figure. As also the circumscribed rectilinear figure, which...comprehended under the tangents of the same arcs. And therefore, these ultimate figures (as to their perimeter •vL) are not rectilinear, but curvilinear...
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The First Three Sections of Newton's Principia: With Copious Notes and ...

Isaac Newton - 1826 - 183 דפים
...completed. This will be greater than the difference of the inscribed and circumscribed figures; but, because its breadth AF is diminished indefinitely, it will...rectilinear, but curvilinear limits of rectilinear figures. LEMMA IV. If in two figures A ac E, P pr T, there are inscribed (as before) two series of parallelograms,...
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Institutes of Natural Philosophy: Theoretical and Practical

William Enfield - 1832 - 216 דפים
...evanescent arcs ab,bc,cd, &c. ultimately coincide with the curvilinear figure. As also the rircumscribed rectilinear figure, which is comprehended under the tangents of the same arcs. And therefore, these ultimate figures (as to their perimeter ac E) are not rectilinear, but curvilinear...
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THE PHILOSOPHY OF MATHEMATICS WITH SPECIAL REFERENCE TO THE ELEMENTS OF ...

ALBERT TAYLOR BLEDSOE, A.M., LL.D. - 1886
...ultimately coincide with the curvilinear figure. "CoR. 3. And also the circumscribed rectilinear figure comprehended under the tangents of the same arcs....rectilinear, but curvilinear limits of rectilinear figures." In these celebrated demonstrations, as well as in those which follow, there are very great obscurities...
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