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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 ... - Seite 38
von Robert Simson - 1775 - 520 Seiten
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Practical Geometry for Second Grade Art-pupils and Private Schools

Thomas Newton Andrews - 1881 - 160 Seiten
...— In Euclid, Book I., Prop, xxxi11., it is proved 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." If we have to describe a pentagon on the base AB, we must first calculate the angles at the...
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Guide to preliminary army examination

John Gibson - 1881
...greater side, or has the greater side opposite to it. 3. 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. 4. Describe a parallelogram that shall be equal to a given triangle BCD, and have one of its...
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The Cambridge Examiner, Band 2

1882
...also equal, the triangles must be equal in every respect. 4 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. 5. Equal triangles upon equal bases in the same straight line and towards the same parts are...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...for the demonstration of which this one is referred to. 5. 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. The opposite sides and angles of a parallelogram are equal ; and the diameter bisects the...
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The Competitor, Bände 1-2

1882
...In corollaries to the same proposition it is shown that all the internal angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides ; also, that all the external angles of any rectilineal figure formed by producing the sides...
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Gibson's London matriculation guide, by J. Gibson [and others].

1882
...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...
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Class lessons on Euclid

Marianne Nops - 1882
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 Seiten
...twice as many right angles as the figure has sides. But, by the foregoing Corollary all the interior angles of the figure, together with four right angles,...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Band 2

Joseph Hughes - 1883
...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...
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The Practical Teacher, Band 2

1883
...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...
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