 | Isaac Newton - Curves, Plane - 1826 - 208 pages
...coincide with the curvilinear figure. Cor. 3. As also the circumscribed rectilinear figure, which is comprehended under the tangents of the same arcs....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,... | |
 | Isaac Newton, George Leigh Cooke - Curves, Plane - 1850 - 176 pages
...coincide with the curvilinear figure. Cor. 3. As also the circumscribed rectilinear figure, which is comprehended under the tangents of the same arcs....rectilinear, but curvilinear limits of rectilinear figures. OBSERVATIONS. Cor. 1. The coinciding here mentioned does not mean that the parallelograms ever actually... | |
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Hence the ultimate sum of those evanescent parallelograms will in all parts coincide with the curvilinear figure. COR. 2. Much more will the rectilinear figure comprehended under the chords of the evanescent arcs ab, bc, cd, &c., ultimately coincide with... 