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" 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. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Σελίδα 23
των Euclid, John Playfair - 1795 - 400 σελίδες
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Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 σελίδες
...triangle are equal to two right angles; and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal to twice as many right angles as the figure has sides. 3. If the square described upon one of the sides of a triangle is equal to the squares described...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...two-thirds of a right angle or 60°. III. All the interior angles of any rectilineal figure added to four right angles are equal to twice as many right angles as the figure has sides. Now, any figure can be divided into as many triangles as it has sides by drawing lines from...

The Practical Teacher, Τόμος 2

1883 - 654 σελίδες
...generally understood abbreviations for irorJs may be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be e ]ual...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...right angles as the figure has sides. But, by the foregoing Corollary all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Therefore all the interior angles of the figure, together with all its exterior angles, are...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883 - 568 σελίδες
...generally understood abbreviations for words may be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be equal...

Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 σελίδες
...triangle the two acute angles are complementary. THEOR. 26. All the interior angles of any convex polygon together with four right angles are equal to twice as many right angles as the polygon has sides. THEOR. 27. The exterior angles of any convex polygon made by producing the sides...

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 σελίδες
...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. XXXIII. — The straight lines which join the extremities of two equal and parallel straight...

Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 σελίδες
...in a point are together equal to four right angles. (б) 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. (6) All the exterior angles of any rectilineal figure are together equal to four right angles....

Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 σελίδες
...perpendicular without producing the given line. 1. Prove that 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. There are two regular polygons, the number of sides of one is double the number of sides of...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 σελίδες
...any triangle &c. QED COROLLARY I. TO PROPOSITION XXXII. 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. Any rectilineal figure can be divided into as many triangles as the figure has sides, by drawing...




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