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Books Books 61 - 70 of 188 on After remarking that the mathematician positively knows that the sum of the three....  
" After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles... "
Introduction and books 1,2 - Page 218
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Manual of Christian evidences

George Park Fisher - Apologetics - 1888 - 123 pages
...never have seen London, but we have not a whit more doubt that London exists than we have that the sum of the three angles of a triangle is equal to two right angles. We never saw Napoleon the First, but we are not less certain that Napoleon lived than we are...
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Greek Geometry from Thales to Euclid

George Johnston Allman - Geometry - 1889 - 237 pages
...drawn from the preceding notices. First inference. — Thales must have known the theorem that the sum of the three angles of a triangle is equal to two right angles. Pamphila, in (d), refers to the discovery of the property of a circle that all triangles described...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 406 pages
...triangle, formed by extending the sides in the same order, is equal to six right angles. PROP. XVII. The sum of the three angles of a triangle is equal to two right angles. PROP. XVIII. The sum of any two angles of a triangle is equal to the supplement of the third...
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Manual of plane geometry: on the heuristic plan, with numerous extra ...

George Irving Hopkins - Mathematics - 1891 - 179 pages
...side of a triangle is less than the sum of the other two, and greater than their difference. 98. The sum of the three angles of a triangle is equal to two right angles. Sug. Consult Theorems 58 and 87. 99. If one side of a triangle be extended, the exterior angle...
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Rousseau's Émile: Or, Treatise on Education

Jean-Jacques Rousseau - Education - 1892 - 355 pages
...of mathematieal demonstration. No experimental process can ever establish the general truth that the sum of the three angles of a triangle is equal to two right angles. We should not confound " geometrical recreations " with geometrical science. — (P.) f Isoperimetric...
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Appletons' Cyclopædia of Technical Drawing: Embracing the Principles of ...

Appleton, firm, publishers, New York - Mechanical drawing - 1892 - 745 pages
...equal to the three angles of the triangle, and their sum is equal to two right angles. Therefore, the sum of the three angles of a triangle is equal to two right angles. On one side of a triangle (Fig. 50) construct a triangle equal to the first, with opposite...
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Rousseau's Émile: Or, Treatise on Education

Jean-Jacques Rousseau - Education - 1892 - 355 pages
...of mathematical demonstration. No experimental process can ever establish the general truth that the sum of the three angles of a triangle is equal to two right angle?. We should not confound " geometrical recreations " with geometrical science.—(P.) f Isoperimetric...
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THE ELEMENTS OF SOLID GEOMETRY

WILLIAM C. BATOL, A.M., - 1893
...lines cannot meet. 353. Any side of a triangle is less than the sum of the other two sides. 354. The sum of the three angles of a triangle is equal to two right angles. 355. Two triangles are equal in all respects when two sides and the included angle of the one...
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Teachers' Manual for Teachers Using Arithmetic by Grades

John Tilden Prince - 1894
...point is equal to 360°. 6. The opposite angles made by two lines crossing each other are equal. 7. The sum of the three angles of a triangle is equal to two right angles. The sum of the angles of a polygon is equal to two right angles taken as many times as the...
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The Popular Science Monthly, Volume 12

Science - 1878
...inferences. Locke explains it as follows: After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles because he apprehends the geometrical proof, he thus continues : " But another man who never...
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