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 - 1819 - 208 pages
...triangle DEF, reciprocally the points D, E, F, icilt k 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 .LC; therefore it is the pole... | |
| Adrien Marie Legendre - Geometry - 1822 - 367 pages
...FD, DE be described to form the triangle DEF ; then, conversely, the three points D, E, F will be the **poles of the sides BC, AC, AB. For, the point A being...quadrant : hence the point E is removed the length of a** qua- / drant from each of the points A and C ; hence (6. VII. Cor. 3.) it is the pole of the arc AC.... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 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... | |
| Adrien Marie Legendre - Geometry - 1825 - 280 pages
...triangle DEF, reciprocally the points D, E, F, will be the poles of the sides EC, 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... | |
| Adrien Marie Legendre - Geometry - 1825 - 224 pages
...F, will be the poles of the sides BC, AC, AB. Demonstration. The point A being the pole of the art **EF, the distance AE is a quadrant; the point C being...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... | |
| Adrien Marie Legendre - Geometry - 1828 - 316 pages
...EF,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,...For, the point A being the ^ pole of the arc EF, the** dis- *•-*' tance AE is a quadrant ; the point C being the pole of the arc DE, the distance CE is... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 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 (467.) it is the pole of the arc AC. It might be shewn, by the same method, that D is the... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...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, AB. For, the point A being the pole of** fee arc EF, the distance AE is a quadrant ; the point C being the pole of the arc DE, the distance... | |
| Adrien Marie Legendre - Geometry - 1838 - 386 pages
...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,... | |
| Adrien Marie Legendre - Geometry - 1838 - 359 pages
...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,...C being the pole of the arc DE, the distance CE is** like wise a quadrant : hence the point E is removed the length of a quadrant from each of the points... | |
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