 F, be respectively poles of the sides BC, AC, AB. For, the point A being the pole of the arc EF, the distance AE is a 'quadrant ; the point C being the pole of the arc DE, the distance CE is likewise a quadrant : hence the point E is...  Elements of Geometry and Trigonometry - Page 232by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...triangle DEF, reciprocally the points D, E, F, will be the poles of the sides BC, AC, AB. Demonstration. The point A being the pole of the arc EF, the distance...the arc DE, the distance CE is likewise a quadrant ; consequently the point E is distant a quadrant from each of the points A, C ; therefore it is the... | |
 | Nathan Scholfield - 1845 - 894 pages
...FD, ED be described, forming on the surface of the sphere, the triangle DFE ; then will the points D, E, and F be respectively poles of the sides BC. AC,...length of a quadrant from each of the points A and C ; hence (Prop VI. Cor. 3.) is the pole of the arc AC. It might be shown, by the same method, that... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...FD, ED be described, forming on the surface of the sphere, the triangle DFE ; then will the points D, E, and F be respectively poles of the sides BC, AC,...length of a quadrant from each of the points A and C ; hence (Prop VI. Cor. 3.) is the pole of the arc AC. It might be shown, by the same method, that... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...FD, ED be described, forming on the surface of the sphere, the triangle DFE ; then will the points D, E, and F be respectively poles of the sides BC, AC,...length of a quadrant from each of the points A and C ; hence (Prop VI. Cor. 3.) is the pole of the arc AC. It might be shown, by the same method, that... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...will the vertices of (his new triangle be the poles respectively of the sides of the given triangle. For, the point A being the pole of the arc EF, the...point E is removed the length of a quadrant from each tsf the points A and C ; hence (B. VIII, Prop, xix, Cor. 3) it 'is the pole of the arc AC. It might... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...FD, ED, be described, forming on the surface of the sphere, the triangle DFE; then will the points D, E, and F, be respectively poles of the sides BC, AC,...length of a quadrant from each of the points A and C ; hence, it is the pole of the arc AC (Prop. V. Cor. 3.). It might be shown, by the same method,... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...will the vertices of this new triangle be the poles respectively of the sides of the given triangle. For, the point A being the pole of the arc EF, the...the point E is removed the length of a quadrant from eacli of the points A and C; hence (B. VIII, Prop, six, Cor. 3,) it is the pole of the arc AC. It might... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...described, forming on the surface of the sphere, 232 GEOMETRY. the triangle DFE ; then will the vertices D, E, and F, be respectively poles of the sides BC, AC,...length of a quadrant from each of the points A and C; hence, it is the pole of the arc AC (P. 3, C. 2). It may be shown by similar reasoning, that D is... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...will the vertices of this new triangle he the poles respectively of the sides of the given triangle. For, the point A being the pole of the arc EF, the...likewise a quadrant : hence the point E is removed the distance of a quadrant from each of the points A and C ; it is, therefore, the pole of the arc AC.... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...will the vertices of this new triangle be the poles respectively of the sides of the given triangle. For, the point A being the pole of the arc EF, the...likewise a quadrant : hence the point E is removed the distance of a quadrant from each of the points A and C ; it is, therefore, the pole of the arc AC.... | |
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