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" If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. "
Plane Geometry - Page 26
by Arthur Schultze - 1901
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...together greater than twice the straight line drawn from the vertex to the middle point of the base. 25. If one angle of a triangle is equal to the sum of the other two, the triangle can bo divided into two isosceles triangles. 26. If the angle C of a triangle is...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...together greater than twice the straight line drawn from the vertex to the middle point of the base. 25. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. 26. If the angle C of a triangle is...
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Elementary Geometry, Volume 1

James Maurice Wilson - Geometry - 1868 - 132 pages
...the opposite sides ; the angles made by them with the base are equal to half the vertical angle. 1 6. If one angle of a triangle is equal to the sum of the other two, the greatest side is double of the distance of its middle point from the opposite angle. 17. 0...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...a triangle having given one side and an angle adjacent to it and the sum of the other two sides. 4. If one angle of a triangle is equal to the sum of the other two, the riaugle can be divided into two isosceles triangles. PROPOSITION XXIV. THEOREM. If two triangles...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...then EC=%BE. 192. ABC is a triangle right-angled at C, and angle B — 2 A ; then 2 BC > A C. 193. If one angle of a triangle is equal to the sum of the other two, the greatest side is equal to twice the medial line from the vertex of the greatest angle. 194....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...together greater than twice the straight line drawn from the vertex to the middle point of the base. 25. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. 26. If the angle C of a triangle is...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...then EC = $ B E. 192. ABC is a triangle right-angled at C, and angle B= 2 A ; then 2 BC > A C. 193. If one angle of a triangle is equal to the sum of the other two. the greatest side is equal to twice the medial line from the vertex of the greatest angle. 194....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...together greater than twice the straight line drawn from the vertex to the middle point of the base. 25. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. 2G. If the angle C of a triangle is...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...given point in a given straight line, to make an angle equal to the complement of a given angle. 3. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. 4. The straight line OC bisects the...
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - Geometry - 1887 - 202 pages
...greater than CN). Then EP is equal to EC, and the triangles B DP and CEP are isosceles, &c. PROP. 32. 97. If one angle of a triangle is equal to the sum of the other two, the triangle is right-angled. 98. If one angle of a triangle be greater than the sum of the other...
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