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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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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 183 Seiten
...figure has sides (1): but the angles at the point F are equal to four right angles (2); and therefore the angles of the figure, together with four right...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....
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 Seiten
...isf equal to two right angles ; all the interior together with all the exterior angles of the figure, are equal to twice as many right angles as the figure has sides. But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 Seiten
...angles. Wherefore, " if a side of a 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 rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...angles of any rectilineal figure are together equal to four right angles : and all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides. For, if from any point in the same plane, straight lines be drawn, one after the other, parallel...
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The Element of Geometry

John Playfair - 1836 - 114 Seiten
...common vertex of the triangles ; that is (Cor. 2. 3. 1.), together with four right angles. Therefore all the angles of the figure, together with four right...equal to twice as many right angles as the figure has sides. COR. II. All the exterior angles of any rectilineal figure are together equal to four right...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 Seiten
...triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides, wanting four right angles» 2. All the exterior angles of any rectilineal figure are to. gether...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...common vertex of the triangles ; that is (1. 15, Cor. 2), together with four right angles. Therefore all the angles of the figure, together with four right...equal to twice as many right angles as the figure has sides. Let the sum of the interior angles be denoted by I, the number of sides by n, and a right angle...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 Seiten
...° there are triangles ; that is, as there are sides in the figure BCDEF; and that (I. 32. cor. 1.) all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sides in the figure ; therefore all the angles...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...the common vertex of «2cor is i "le triangles; that is,* together with four right angles. Therefore all the angles of the figure, together with four right...equal to twice as many right angles as the figure has sides. COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right...
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...two right angles. All the angles, therefore, of the triangles into which the AE figure is divided, are equal to twice as many right angles as the figure has sides. But of these, the angles round the point F are equal to four right angles (Prop. 13, cor.) :...
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