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" 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. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Σελίδα 56
των Euclid - 1765 - 464 σελίδες
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A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 456 σελίδες
...angles at F, which are equal to four right angles. I. 15, Cor. Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right COROLLARY 2. If the sides of a rectilineal figure, which has no re-entrant angle, are produced in order,...

A text-book of engineering drawing and design

Sidney Herbert Wells - 1905
...depends upon Corollary I. of Euclid i., 32, which says, that " the interior angles of any straight lined figure together with four right angles are equal to twice as many right angles as the figure has sides." The most common of the regular polygons used in engineering designs are the pentagon (five-sided),...

Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1906
...right angles. — I. 32. (6) What is a Corollary ? Show 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. (c) Derive the magnitude of an angle of a regular octagon. (d) If the exterior vertical angle...

A School Geometry, Μέρη 1-4

Henry Sinclair Hall - 1908
...parallel to the base. -ve* f1 — 44 GEOMETRY. COROLLARY 1. ^M <Ae interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Let ABCDE be a rectilineal figure of & sides. It is required to prove that all the interior...

Books 10-13 and appendix

Euclid - 1908
...course be arranged so as not to assume the proposition that the interior angles of a convex polygon together with four right angles are equal to twice as many right angles as the figure has sides. Let there be any convex polyhedral angle with V as vertex, and let it be cut by any plane meeting...

On Intelligence

Hippolyte Taine - 1998 - 588 σελίδες
...together equal to four right angles ; hence it follows that the polygon contains a number of angles which, together with four right angles, are equal to twice as many right angles as there are sides. — Here the explanatory intermediate is a character comprised in all the elements...
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The Indian Forester, Τόμοι 1-17

1891
...an application of Euclid I. 82, Cor. 1, which proves 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. To be able to apply this test, one must first find out the interior angles from the bearings....

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1851
...THOSE ON PHYSICAL SCIENCE AND MECHANICS.) Section 1. 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. 2. Equal triangles upon equal bases, in the same straight line, and towards the same parts,...

The Sanitary Record, Τόμος 19

1897
...every triangle are together equal to two right angles. And, 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. And, all the exterior angles of any rectilineal figure are together equal to four right angles....

the ...

...regular decagon. The corollary to Euc. i. 32 states that 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. Let the angle of a regular decagon contain x right angles, so that all the angles are together...
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