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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. "
Elements of plane geometry, book i, containing nearly the same propositions ... - Seite 68
von Euclides - 1865
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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 Seiten
...to four right angles (2); and therefore the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Cor. 7. The external angles of any rectilineal figure are together equal to four right angles. For...
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Inductive Geometry, Or, An Analysis of the Relations of Form and Magnitude ...

Charles Bonnycastle - 1834 - 670 Seiten
...expressed as the following proposition : "The interior angles of any closed plane figure are together equal to twice as many right angles as the figure has sides, minus four right angles." 206. And as a second application of the principle in question, or, which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...&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 rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 Seiten
...is equal to two right angles (2.) ; all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has angles. But all the exterior angles are, by the former part of the proposition, equal to four right...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 Seiten
...equal to all the angles of the figure, together with four right angles, that is, the anhas gles of the figure are equal to twice as many right angles as the figure sides, wanting four. COR. 1. All the exterior angles of any rectilineal figure are togethe1" equal...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 Seiten
...angles ; and the three interior angles of every triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure...the figure has sides, wanting four right angles» 2. All the exterior angles of any rectilineal figure are to. gether equal to four right angles. XXXIII....
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The Element of Geometry

John Playfair - 1836 - 148 Seiten
...proved. COR. I. 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 rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 Seiten
...taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; that is, equal to twice ay many right angles as the figure has sides, wanting four right angles. Hence, the interior angles plus four right .. -i angles, is equal to twice as many right angles as...
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - 1837 - 284 Seiten
...you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must be equal to twice as many right angles as the figure has sides, wanting four right angles. But when the figure has a re-enterant angle, as F, measure the external angle, which is less than two...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1837 - 376 Seiten
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; that is, equal to twice as many right angles as the figure has sides, wanting four right angles. Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon...
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