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" ... with each other, (2) with the opposite angles : shew that the two triangles so formed, are equilateral triangles. IV. 60. Describe a right-angled triangle upon a given base, having given also the perpendicular from the right angle upon the hypotenuse.... "
A graduated course of elementary problems in Practical Plane Geometry, etc - Page 43
by John Lowres - 1870
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...perpendicular from the right angle upon the hypotenuse. , 61. Given one side of a right-angled triangle, and the difference between the hypotenuse and the sum of the other two sides, to construct the triangle. 62. Construct an isosceles right-angled triangle, having given...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...perpendicular from the right angle upon the hypotenuse. 61. Given one side of a right-angled triangle, and the difference between the hypotenuse and the sum of the other two sides, to construct the triangle. 62. Construct an isosceles right-angled triangle, having given...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...perpendicular from the right angle upon the hypotenuse. 61. Given one side of a right-angled triangle, and the difference between the hypotenuse and the sum of the other two sides, to construct the triangle. 62. Construct an isosceles right-angled triangle, having given...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...perpendicular from the right angle upon the hypotenuse. 66. Given one side of a right-angled triangle, and the difference between the hypotenuse and the sum of the other two sides ; to construct the triangle. 67. Construct an isosceles right-angled triangle, having given...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...perpendicular from the right angle upon the hypotenuse. 61. Given one side of a right-angled triangle, and the difference between the hypotenuse and the sum of the other two sides, to construct the triangle. 62. Construct an isosceles right-angled triangle, having given...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...be drawn, it will bisect the angle BAC. Ex. 2. If a circle be inscribed in a rightrangled triangle, the difference between the hypotenuse and the sum of the other sides is equal to the diameter of the circle. Ex. 3. Shew that, in an equilateral triangle, the centre of...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...be drawn, it will bisect the angle BAC. Ex. 2. If a circle be inscribed in a right-angled triangle, the difference between the hypotenuse and the sum of the other sides is equal to the diameter of the circle. Ex. 3. Shew that, in an equilateral triangle, the centre of...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...perpendicular from the right angle upon the hypotenuse. 61. Given one side of a right-angled triangle, and the difference between the hypotenuse and the sum of the other two sides, to construct the triangle. 62. Construct an isosceles right-angled triangle, having given...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...-.MI • 8. Inscribe a circle in a given triangle. If a circle be inscribed in a right-angled triangle the difference between the hypotenuse and the sum of the other sides is equal to the diameter of the circle. 9. In what cases does Euclid prove the equality of two triangles...
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