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" IN a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from... "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Side 166
af John Playfair, Euclid - 1804 - 440 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 sider
...and the triangles ABD, ADC, being each equiangular and similar to ABC, and equiangular and similar to one another. Let ABC be a right angled triangle,...from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another. COR. From...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 sider
...perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC ; and from the point A, let AD be drawn perpendicular...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...itholt triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAG; and from the point A let AD be drawn perpendicular to the base BC. Then the triangles ABD, ADC shall be similar to the whole triangle ABC, and to one another....
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 sider
...perpendicular be drawn from the right angle to the hypotenuse, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC; and from the point A let AD be drawn perpendicular...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be aright angled triangle, having the right angle BAC ; and...from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another. Because...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC ; and from the point A, let AD be drawn perpendicular...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 sider
...triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be aright angled triangle, having the right angle BAC ; and...from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another. Because...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...on each side of it are similar to the whole trianyle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC ; and from the point A, let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another. Because...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bog 1

Euclides - 1853 - 334 sider
...perpendicular drawn from the right angle to the opposite side : then these two triangles shall be similar to the whole triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC ; and from A let AD be drawn perpendicular to the...
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