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Books Books 31 - 40 of 185 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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Catalogue of the Officers and Students

Trinity College (Hartford, Conn.) - History - 1870
...side of a triangle is less than the sum and greater than the difference of the other two sides. 2. The sum of the three angles of a triangle is equal to two right angles. 3. The diagonals of a parallelogram bisect each other. 4. An inscribed angle is measured by...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 58 pages
...the sum of its angles diminished by two right angles, and multiplied by the quadrantal triangle. Cor. If the sum of the three angles of a triangle is equal to three right angles, its surface will be equal to the quadrantal triangle ; if the sum is equal to four...
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Barnard's American Journal of Education, Volume 23

Henry Barnard - Education - 1872
...catch either into other cogged wheels, or into pinions, or into trundles, Ac. Of the Triangk. — The sum of the three angles of a triangle is equal to two right-angles, Ac. Of similar Triangles. — Two triangles are similar when the angles of one are equal...
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Barnard's American Journal of Education, Volume 23

Henry Barnard - Education - 1872
...catch either into other cogged wheels, or into pinions, or into trundles, Ac. Of the Triangle. — The sum of the three angles of a triangle is equal to two right-angles, Ac. Of eimiiar Triangle*. — Two triangles are similar when the ingles of one ar» equal...
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a manual of discipline and instruction for the use of the teachers of the ...

1873
...side in -each respectively equal ; (c) when they have three sides in each respectively equal. 6. The sum of the three angles of a triangle is equal to two right angles. I7. The sum of the interior angles of a polygon is equal to twice as many right angles as the...
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The National Teacher: A Monthly Educational Journal, Volume 4

Education - 1874
...heartfelt pleasure and profound satisfaction from the contemplation of that wonderful truth, that the sum of the three angles of a triangle is equal to two right angles. My friend, who sits before me, used to take particular delight in putting this at me, when...
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The Ohio Educational Monthly: A Journal of School and Home Education, Volume 23

Education - 1874
...heartfelt pleasure and profound satisfaction from the contemplation of that wonderful truth, that the sum of the three angles of a triangle is equal to two right angles. My friend, who sits before me, used to take particular delight in putting this at me, when...
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How to Teach: A Manual of Methods for a Graded Course of Instruction... for ...

Henry Kiddle, Thomas F. Harrison, Norman Allison Calkins - Teaching - 1875 - 269 pages
...equality as a definite fact, and inequality indefinitely. Thus, it is required to be proved that the sum of the three angles of a triangle is equal to two right angles ; also, that, of any two sides of a triangle, that which lies opposite to the greater angle...
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Elements of geometry: with exercises for students, and an introduction to ...

Aaron Schuyler - Geometry - 1876 - 372 pages
...equal. 76. Exercises. 1. Prove by means of the annexed diagram, in which DE is parallel to AC, that the sum of the three angles of a triangle is equal to two right angles. 2. The sum of the three straight lines drawn from any point within a triangle to the vertices...
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Hermathena, Volume 3

Literature - 1877
...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 [<f], refers to the discovery of the property of a circle that all triangles described...
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