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" ... twice as many right angles as the figure has sides ; 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 school edition. Euclid's Elements of geometry, the first six books, by R ... - Σελίδα 24
των Euclides - 1864
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 σελίδες
...Therefore all the • 2 Cor. angles of the figure, together with four right angles, are equal 15. l. to twice as many right angles as the figure has sides....All the exterior angles of any rectilineal figure are together equal to four right angles. Because every interior angle ABC, with its adjacent exterior...

Inductive Geometry, Or, An Analysis of the Relations of Form and Magnitude ...

Charles Bonnycastle - 1834 - 670 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...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...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...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...angle, 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 σελίδες
...by -f of one right angle. PROP. XXVI. THEOR. All the interior angles of any rectilineal figure, art equal to twice as many right angles as the figure has sides, wanting four right angles. For any rectilineal figure ABCDE can be divided into as many triangles as...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...equal to two right angles. Which was to be proved. COR. I. 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...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...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 equal...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...CBA, BAC, ACB, are equal to two right angles. 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 be divided into as many triangles as the figure has sides, by drawing straight lines from a point F...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1837 - 376 σελίδες
...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...

A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - 1837 - 284 σελίδες
...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...




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