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" ... therefore the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles... "
Manual of Geometry and Conic Sections: With Applications to Trigonometry and ... - Page 36
by William Guy Peck - 1876 - 366 pages
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The Psychology of Reasoning

Eugenio Rignano - Reasoning - 1923 - 416 pages
...accomplished at first. "So that the angles of the polygon, if added to the angles at the vertex, are equal to twice as many right angles as the polygon has sides." Here we mentally perform the experiment which consists in substituting, in a given sum of a certain...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...angles 14 COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides 14 EXERCISES 15 Chapter III. CONGRUENT TRIANGLES. NOTE ON THE METHOD OF SUPERPOSITION 18 JTHEOREM 10....
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Descartes on Polyhedra: A Study of the "De Solidorum Elementis"

P. J. Federico - Gardening - 1982 - 162 pages
...triangles and the number of triangles in every case is two less than the number of sides of the figure. The sum of all the angles of all the triangles is equal to the sum of all the interior angles of the figure. Since the sum of the angles of each triangle is equal...
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On Intelligence

Hippolyte Taine - Psychology - 1998 - 596 pages
...the polygon ; so that the angles of the polygon, if we add to them the angles at the vertices, are equal to twice as many right angles as the polygon has sides. Now we know independently that the angles at the vertices are together equal to four right angles ;...
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Paractical Geometry Based on the Various Geometry Books by Godfrey and Siddons

480 pages
...angles 14 COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides 14 EXERCISES 15 Chapter III. CONGRUENT TRIANGLES. NOTE ON THE METHOD OF SUPERPOSITION 18 {THEOREM 10....
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Elementary Geometry Plane (Classic Reprint)

James McMahon - 2018 - 244 pages
...angles 83 COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides 83 CONGRUENT TRIANGLES 85 Method of superposition ....... 85 THEOREM 10. If two triangles have two...
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Nature, Volume 63

Sir Norman Lockyer - Electronic journals - 1901 - 688 pages
...(Grynaeus-Bale, 1533 AD) these two corollaries are given : — (1) The sum of the interior angles of any polygon is equal to twice as many right angles as the polygon has sides less two. (2) The sum of the exterior angles of any polygon is equal to four right angles. STAM. EUMORKOPOULOS....
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Practical Geometry

Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...angles . 12 COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides 12 CONGRUENT TRIANGLES. Note on the method of superposition 13 THEOREM 10. If two triangles have two...
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A Shorter Geometry

464 pages
...angles 266 COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides 266 CONGRUENT TRIANGLEs. THEOREM 10. If two triangles have two sides of the one equal to two sides...
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A Shorter Geometry

352 pages
...angles 266 COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides 266 CONGRUENT TRIANGLES. THEOREM 10. If two triangles have two sides of the one equal to two sides...
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