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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 Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Seite 38
von Robert Simson - 1775 - 520 Seiten
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...that the angles of the triangles are equal to twice as many right angles as the figure has sides ; therefore all the angles of the figure together with...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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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...equal to four right angles. Therefore, &c. COROLLARY 2. 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. n For any interior angle ABD, together with its *3 • adjacent exterior angle DBC is equal...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 Seiten
...vKw, wKu, &c., and are /. together = four right L s. (i. 9) COR. All the interior angles «fa polygon together with four right angles are equal to twice as many right angles as the figure has sides. O For the L NOP of the polygon together with the exterior L UO V makes up two right L s. (i....
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Pure mathematics, Band 1

Edward Atkins - 1874
...figure, 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 (I. 32, Cor. 1) ; Therefore all the interior angles, together with all the exterior angles, are...
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Pure mathematics, Band 1

Edward Atkins - 1874
...Therefore, if a side of any triangle, &c. QED COROLLARY 1. — All t/ie interior angks of any rectilineal figure, together with four right angles, are equal to twice as many riff hi angles as tlie figure /ias sides. For any rectilineal figure ABCDE can, . by drawing straight...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...O, which together are equal to four right angles (I. 10, cor.); therefore the angles of the figure are equal to twice as many right angles as the figure has sides, less four right angles. — If the figure be a regular polygon, the magnitude of each angle,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...that the angles of the triangles are equal to twice as many right angles as the figure has sides ; therefore all the angles of the figure together with...equal to twice as many right angles as the figure has sides, COB. 2. All the exterior angles ol1 any rectilineal figure, made by producing the sides successively...
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - 1876 - 58 Seiten
...triangle the two acute angles are complementary. THEOR. 26. 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. COR. All the exterior angles of any convex polygon are together equal to four right angles....
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 Seiten
...F, which is the common vertex of all the triangles, arc equal to four right angles (I. 15, Cor. 2) ; Therefore all the angles of the figure, together with four right angles, arc equal to twice as many right angles as the figure has sides. COROLLARY 2. — All the exterior...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 413 Seiten
...Book, of which the above is a corollary, and 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. Each angle of a regular polygon contains £ of a right angle ; what is the number of sides of...
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