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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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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...another triangle, the triangles are equal. Ex. 149. The diagonals of a rhombus are unequal. Ex. 150. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. SUGGESTION. From the vertex of ZB which...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...complementary. 3. In a right.angled isosceles triangle each of the equal angles is half a right angle. 4. If one angle of a triangle is equal to the sum of the other two, the triangle is right.angled. 5. The sum of the angles of any quadrilateral figure is equal to...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...equal to each other, the sides which are opposite to the equal angles will be equal to each other. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. 2. If one side of a triangle be produced,...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...equiangular triangle '.s equal to sixty degrees. Ex. 81. If an angle of a triangle is (1) 40, (2) 0, what is the sum of the other two angles ? Ex. 82....the angle formed by the bisectors of these angles ? 1 . Ex. 84. Find eaph angle of a triangle if the second equals twice the first, and the third equals...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...isosceles trapezoid are equal ; and, conversely, a trapezoid is isosceles when its diagonals are equal. 7. If one angle of a triangle is equal to the sum of the other two angles, the triangle can be divided into two isosceles triangles. 8. If one angle of a triangle...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...equal, they are mutually equiangular ; ie each angle of the one is equal to an angle of the other. 3. If one angle of a triangle is equal to the sum of the other two, it must be a right angle. 4. Divide a right triangle into two isosceles triangles, and hence show...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...complementary. 3. In a right-angled isosceles triangle each of the equal angles is half a right angle. 4. If one angle of a triangle is equal to the sum of the other two, the triangle is right-angled. 5. The sum of the angles of any quadrilateral figure is equal to...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...angles. 63 The exterior angle formed by producing the hypotenuse of a right triangle is obtuse. 64 If one angle of a triangle is equal to the sum of the other two, the triangle is a right triangle. 65 If a line drawn from the vertex of a triangle to the mid-point...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...angles. 63 The exterior angle formed by producing the hypotenuse of a right triangle is obtuse. 64 If one angle of a triangle is equal to the sum of the other two, the triangle is a right triangle. 65 If a line drawn from the vertex of a triangle to the mid-point...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...third angle of the other. 3. In any right-angled triangle the two acute angles are complementary. 4. If one angle of a triangle is equal to the sum of the other two, the triangle is right-angled. 5. The sum of the angles of any quadrilateral figure is equal to...
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