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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. "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 181
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1880 - عدد الصفحات: 524
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. "...
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Practical geometry for second grade art pupils and private schools

Thomas Newton Andrews - 1881 - عدد الصفحات: 160
...— 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...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 base. Thus...
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The practical surveyor

Thomas Holloway (surveyor.) - 1881
...four right angles or three hundred and sixty degrees. 3. 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. Although further systems of proof could easily be quoted, I consider the foregoing quite sufficient...
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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...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 angles...
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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...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 parallelogram....
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The Cambridge Examiner

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...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 between...
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The Competitor, المجلدات 1-2

...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...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 in the...
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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 upon...
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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 each of...
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The Practical Teacher; with which is Incorporated the Practical ..., المجلد 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 to seven...
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