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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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 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: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...perpendicular be draion from the rightangle to the bate ; 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 BA C; and from the point A let AD be drawn perpendicular to...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 444 sider
...hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the side BC is equivalent to the sum of the two squares described on BA and...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - 1873 - 288 sider
...hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the side BC is equivalent to the sum of the two squares described on BA and...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...from the right angle to the hypotenuse divides the triangle into tico triangles, which are similar to the whole triangle and to one another. Let ABC be a right-angled triangle, having the angle A right, and let AD be the perpendicular on the hypotenuse;...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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 BA C, and from the point A, let AD be drawn perpendicular...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...side of it are similar to the whole triangle, and to one another. 'LetABC'be a right angled-triangle, having the right angle BAC; and from the point A let AD be drawn perpendicular to the base BC. Then the triangles ABD, A DC shall be similar to the whole triangle ABC, and to one another....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 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 A , having L BAC a rt. L , and from A let AD be drawn -L to BC. Then must As DBA, DAG...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 sider
...any of the perpendiculars, are isosceles triangles similar to one another and to the whole triangle. Let ABC be a right angled triangle having the right,...from the point A let AD be drawn perpendicular to the opposite side BC. The triangle ABD and ADC are similar to the whole triangle ABC and to one another....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 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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