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" 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 - Seite 204
von Euclid - 1908
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Catalogue of the Officers and Students

Trinity College (Hartford, Conn.) - 1870 - 1008 Seiten
...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 - 1871 - 302 Seiten
...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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The American Journal of Education, Band 23

Henry Barnard - 1872 - 988 Seiten
...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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The American Journal of Education, Band 23

Henry Barnard - 1872 - 984 Seiten
...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 ...

New York Board of Education, New York (N.Y.). Board of Education - 1873 - 166 Seiten
...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, Band 4

1874 - 520 Seiten
...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, Band 23

1874 - 508 Seiten
...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 - 1875 - 294 Seiten
...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: An an Introduction to ...

Aaron Schuyler - 1876 - 384 Seiten
...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, Band 3

1877 - 626 Seiten
...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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