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" If one angle of a triangle be equal to the sum of the other two, the greatest side is double of the distance of its middle point from the opposite angle. "
A Treatise on Geometry and Its Application in the Arts - Page 40
by Dionysius Lardner - 1840 - 314 pages
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...angle of a triangle be right, the sum of the other two is equal to a right angle. (126) Coa. 2. — If one angle of a triangle be equal to the sum of the other two angles, that angle is a right angle. (127) COR. 3. — An obtuse angle of a triangle is greater and an acute angle less than the sum of...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...right-angled triangle, the right angle is equal to the sum of the other two angles : and, conversely, if ona angle of a triangle be equal to the sum of the other two, that angle shall be a right angle. Cor. 4. In a right-angled triangle, (he straight line, which...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...right-angled triangle, the right angle is equal to the sum of the other two angles : and, conversely, if one angle of a triangle be equal to the sum of the other two, that angle / \ shall be a right angle. ~ Cor. 4. In a right-angled triangle, the straight line,...
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The First Six Books of the Elements of Euclid: With a Commentary and ...

Dionysius Lardner - Geometry - 1838 - 382 pages
...sum of the other two is equal to a right angle. (126) COR. 2. — If one angle of a triangle he equal to the sum of the other two angles, that angle is a right angle. (127) Coa. 3. — An obtuse angle of a triangle is greater and an acute angle less than the sum of...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...angles CBA, BAC, ACB are equal to two right angles. Wherefore, if a side of a triangle, &c. QED COR. A. If one angle of a triangle be equal to the sum of the two others, it is a right angle : for the adjacent exterior angle is equal to the sum of the same two...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...perpendicular from the vertex, according as the angle is greater or less than a right angle. 11. If ofle angle of a triangle be equal to the sum of the other two, the greatest side is double of the distance of its middle point from the opposite angle. 12. If...
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Report of the Committee of Council on Education (England and Wales ..., Issue 2

Great Britain. Council on Education - Education - 1848 - 596 pages
...Section 2. 1. Similar triangles are to pne another in the duplicate ratio of their 1mmologuous sides. 2. If one angle of a triangle be equal to the sum of the other two, the greatest side is double of the distance of its middle point from the opposite angle. 3. If...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...Section 2. 1. Similar triangles are to one another in the duplicate ratio of their homologous sides. 2. If one angle of a triangle be equal to the sum of the other two, the greatest side is double of the distance of its middle point from the opposite angle. 3. If...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...Section 2. 1. Similar triangles are to one another in the duplicate ratio of their homologuous sides. 2. If one angle of a triangle be equal to the sum of the other two, the gteatest side is double of the distance of its middle point from the opposite angle. 3. If...
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The popular educator, Volumes 5-6; Volume 8

Popular educator - 1854 - 922 pages
...one angle of a triangle be a right angle, the sum of the other two is a right angle. Corollary 5. — If one angle of a triangle be equal to the sum of the other two, it is a right angle. Corollary 6.— If one angle of a triangle be greater than the sum of the...
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