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" F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. "
The First Six Books: Together with the Eleventh and Twelfth - Seite 38
von Euclid - 1781 - 520 Seiten
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Elementary geometry

James Maurice Wilson - 1878
...angles are equal to twice as many right angles as the figure has sides ; •but all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides; (Th. 26.) therefore all the exterior angles are equal to four right angles*. QED THEOREM 27....
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...angles of all these triangles are equal to twice as many right angles as the figure has sides. Therefore all the angles of the figure, together with four right...equal to twice as many right angles as the figure has sides. COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...1) Therefore, if a side of any triangle, &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...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...regular hexagon bear to a right angle ? I. 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...
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The Madras University Calendar, Band 1

University of Madras - 1879
...1 PM EUCLID ANT) ALGEBBA. F. 8. BTANS, 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...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 48 Seiten
...six-sided figure four times as great, or 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...
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The Civil-engineer & Surveyor's Manual: Comprising Surveying, Engineering ...

Michael McDermott - 1879 - 586 Seiten
...and then mark the Y and telescope 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...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...one 'of the angular points of a rectilineal figure to each of the others, that its interior angles together with four right angles are equal to twice as many right angles as the figures has sides. 3. The opposite sides and angles of parallelograms are equal to one another. A quadrilateral...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879
...figure with each 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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...triangles, that is, together with four right tingles. [I. 15. Corollary 2. Therefore all the interior angles of the figure, together with four right angles,...equal to twice as many right angles as the figure has sides. COROLLARY 2. All the exterior angles of any rectilineal figure are together equal to four right...
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