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" 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. "
A text-book of engineering drawing and design - Seite 22
von Sidney Herbert Wells - 1905
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Plane trigonometry. [With] Solutions of examples

John William Colenso (bp. of Natal.) - 1851
...required. 15. It appears, from Euc. I. 32, Cor. 1, that ' all the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides.' Hence if n be the number of sides of any rectilineal figure, we have the sum of its n angles +4 x 90°=...
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Fortification for officers of the army and students of military history

sir Henry Yule - 1851
...polygon may be found from the property of such figures, that the sum of the angles of any polygon is equal to twice as many right angles as the figure has sides, less four. The following technical terms require explanation : — A Salient Angle is one directed...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 702 Seiten
...being the two angles made by cne line meeting another. The sum of all the outward and inward angles, is equal to twice as many right angles as the figure has sides; but the sum of all the inward angles is equal to twice as man1 right angles as the figure has sides,...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...end of the produced line to the end of the base. COB. 3. All the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides. COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles....
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...ACB are equal to two right angles. Con. 1. All the interior angles of any rectilinear figure, BOOK I. together with four right angles, are equal to twice as many right angles as the figure has sides. For any rectilinear figure ABODE can be divided into as many triangles as the figure has sides, by...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 334 Seiten
...triangles is equal to two right angles (Th. xvii) : hence, 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 about the point P is equal to four right angles (Th. ii. Cor. 4) ; and...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 Seiten
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 Seiten
...Wherefore, if a side of any triangle, &c. QED COE. 1. — All the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 Seiten
...triangles : that is (i. 15, cor. 2), together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal...twice as many right angles as the figure has sides. Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles....
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The Elements of Euclid: With Many Additional Propositions ..., Teil 1

Euclid - 1853 - 136 Seiten
...internal angles, are equal to twice as many right angles as the figure has sides; but the internal angles, together with four right angles, are equal to twice as many right angles as the figure has sides (6); take away from both the internal angles, and the external angles remain, equal to four right angles...
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