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" 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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 35
av Euclid - 1810 - 518 sider
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 443 sider
...complement of the other. PROPOSITION XXVIII. THEOREM. All the interior angles of a polygon, together with four right angles, are equal to twice as many right angles as the figure IMS sides. Let ABCDE be any polygon ; then all its interior angles A, B, C, D, E, together with four...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 240 sider
...minus two. Let ABCDEF be the given polygon ; the sum of all the interior angles A, B, C, D, E, F, is equal to twice as many right angles as the figure has sides minus two. For if from any vertex A, diagonals AC, AD, AE, are drawn, the polygon will be divided into...
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A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1880 - 524 sider
...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 - 160 sider
...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 base. Thus...
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Guide to preliminary army examination

John Gibson - 1881
...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 angles...
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The practical surveyor

Thomas Holloway (surveyor.) - 1881
...or three hundred and sixty degrees. 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. Although further systems of proof could easily be quoted, I consider the foregoing quite sufficient...
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Gibson's London matriculation guide, by J. Gibson [and others].

1882
...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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The papers set at the professional preliminary examination

College of preceptors - 1882
...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 parallelogram....
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The Competitor, Volumer 1-2

1882
...378 ANSWERS AND EXPLANATIONS. 1. All the internal angles of any convex rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides (Euclid I., 32 Cor.) n denoting the number of sides : and T two right angles. (n — 2) T = angles...
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The Cambridge Examiner, Volum 2

1882
...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 between...
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