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" Of all triangles having the same vertical angle, and whose bases pass through a given point, the least is that whose base is bisected in the given point. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 2
by Euclides - 1860
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...two sides of a triangle be given, the triangle will be greatest when they contain a right angle. 110. Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in the given point. 111. Of all triangles having the same base and the same perimeter, that is the greatest...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...two sides of a triangle be given, the triangle will be greatest when they contain a right angle. 110. Of all triangles having the same vertical angle, and...given point, the least is that whose base is bisected hi the given point. 111. Of all triangles having the same base and the same perimeter, that is the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...areas of the new triangles so formed will be least when the point is at the center of the base. 23. Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in the given point. . 24. Of all the triangles having the same base and the same perimeter, that is the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...two sides of a triangle be given, the triangle will be greatest when they contain a right angle. 110. Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in the given point. 111. Of all triangles having the same base and the same perimeter, that is the greatest...
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Elementary Geometry, Volume 1

James Maurice Wilson - Geometry - 1868 - 132 pages
...base and area, that which is isosceles has the least perimeter. 22. Of all triangles having a given vertical angle, and whose bases pass through a given...least is that whose base is bisected in that point. 23. The diagonals of a parallelogram divide it into four equivalent triangles. 24. If from any point...
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Elementary geometry

James Maurice Wilson - 1869 - 260 pages
...Of all triangles having the same base and area, that which is isosceles has the least perimeter. 22. Of all triangles having the same vertical angle, and...least is that whose base is bisected in that point. 23. The diagonals of a parallelogram divide it into four equivalent triangles. 24. If from any point...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...meet another straight line, which shall make with it an angle equal to a given rectilineal angle. 49. Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in the given point. 50. From a given point in one side produced of a parallelogram, draw a straight line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...two sides of a triangle be given, the triangle will be greatest when they contain a right angle. 110. Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in the given point. 111. Of all triangles having the same base and the same perimeter, that is the greatest...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...sides, is the minimum when the point is at the centre of the base. 31 1 Of all triangles that have the same vertical angle and whose bases pass through a. given point, the minimum is the one whose base is bisected at the given point. 321 Of all the squares that can be inscribed...
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...given triangle. 15. To bisect a given triangle by a line drawn from one of its angles. 14. Prove that of all triangles having the same vertical angle and...point, the least is that whose base is bisected in the given point. 16. To bisect a given triangle by a line drawn from a given point in one of its sides....
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