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" ... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles. "
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Página 21
por Euclides - 1863
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 páginas
...32. Corollary 1. — The interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides. The angles of a regular hexagon + 4 right angles = 12 right angles ; .-. The angles of a regular hexagon...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - 112 páginas
...of the other angles that the interior angles of any rectilineal figure together with 4 right angles are equal to twice as many right angles as the figure has sides. (32.) 113. If two angles have their containing sides respectively parallel to one another the lines...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 páginas
...&c. QED Cor. 1. All the interior angles of any rectilineal figure together with four right angles, are equal to twice as many right angles as the figure has sides. For any figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from a pt....
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The Civil-engineer & Surveyor's Manual

Michael McDermott - 1879 - 552 páginas
...for future operations. 213. All the interior angles of any polygon, together with four right angles, are equal to twice as many right angles as the figure has sides. Example. Interior angles A, B, C, D, E, F = n° 4 right angles, 860 Sum = n° + 360° Namber of sides...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 68 páginas
...in other words, all the interior angles of any rectilinear figure together with four right angles, are equal to twice as many right angles as the figure has sides. Again, parallelograms upon equal bases and with the same altitude are equal. Of all figures bounded...
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The Madras University Calendar, Volumen1

University of Madras - 1879 - 674 páginas
...MA, I. Prove that all the interior angles of any rectilineal figure together with four right angles, are equal to twice as many right angles as the figure has sides. II. Prove the proposition to which the following is a corollary : The difference of the squares on...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 400 páginas
...40 ... ... ... ... ... 103 The exterior and interior angles of an rectilineal figure, are together equal to twice as many right angles as the figure has sides, 41 ... 104 „ angles are together equal to four right angles, 42 ... ... ... ... „ The interior...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 páginas
...produced to meet, the angles formed by these lines, together with eight right angles, are together equal to twice as many right angles as the figure has sides. Same proposition. ABC is a triangle right-angled at A, and the angle B is double of the angle C. Show...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 páginas
...But ACD+ACB = 2R; BAC+ABC+ACB = 2R. Corollary 1.—All the interior angles of a polygon are together equal to' twice as many right angles as the figure has sides, minus four right angles. Let ABODE be a polygon, and let n represent the number of its sides. Draw...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 páginas
...lines- from a point F within the figure to each of its angles. And by the preceding proposition, n all the angles of these triangles are equal to twice as many right angles as there are triangles, that is, as the figure has sides. And the same angles are equal to the interior...
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