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" 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 from the Works of A.M. Legendre ... - Page 253
by Charles Davies, Adrien Marie Legendre - 1885 - 512 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...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 AE is a quadrant...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...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...conversely, the three points D, E, F will be the poles of the sides BC, AC, AB. For, the point A being the pole of the arc EF, the distance AE is a quadrant...distance CE is likewise a 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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 276 pages
...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 AE is a quadrant...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...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...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 AE is a quadrant...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...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 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...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...poles of the sides BC, AC, AB. 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...distance CE is likewise a quadrant : hence the point E is removed the length of a quadrant from each of the points A and C > hence (467.) it is the pole of the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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 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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 376 pages
...distance CE is like wise a quadrant : hence the point E is removed the 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, that D is the pole of the arc BC, and F...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 382 pages
...will the points D, E, and 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...distance CE is likewise a quadrant : hence the point E is removed the length of a quadrant from each of the points A and C ; hence, it is the pole of the arc...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 372 pages
...will the points D, E, and 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...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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