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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 ... - Side 38
av Robert Simson - 1775 - 520 sider
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...four right angles ; and the. figure has as many angles as sides : therefore all the interior angles together with four right angles are equal to twice as many right angles as the figure has sides. Therefore, Sty. Cor. The four angles of a quadrilateral are together equal to four right angles....
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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 183 sider
...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 sider
...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 sider
...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 sider
...with the angles at the point F which is the common vertex of the triangles ; that is (Cor. 2. 3. 1.), together with four right angles. Therefore all the...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 sider
...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 sider
...with the angles at the point F, which is the common vertex of the triangles ; that is (1. 15, Cor. 2), together with four right angles. Therefore all the...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 sider
...° 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 figure, together with the angles at the point F, which is the common vertex of «2cor is i "le triangles; that is,* together with four right angles....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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