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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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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. СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides successively...
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A Treatise on Land-Surveying Comprising The Theory Developed from Five ...

...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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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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. XVI. If two triangles have two sides of the one equal to two sides of the other, each to each, and...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

...construction, by superposition. 3. Prove 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; and that all the external angles are together equal to four right angles. In what sense are these propositions...
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The Popular Educator, Volum 5

1856
...are equal to all the angles of the figure (Const.) ; therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure nas sides (Лх. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the pxterior angles...
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Elementary text book for young surveyors and levellers

Henry James Castle - 1856 - 185 sider
...that these angles are the exterior angles of an irregular polygon ; and as the sum of all the interior angles are equal to twice as many right angles, as the figure has sides, wanting four ; and as the sum of all the exterior, together with all the interior angles, are equal...
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A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1856 - 464 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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The Educational record, with the proceedings at large of the ..., Volumer 3-4

...produced to meet the alternate sides, also produced, the angles formed by these lines, together with eight right angles, are equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...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. COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879
...figure with each of the other angles that the interior angles of any rectilineal figure together with 4 right angles are equal to twice as many right angles as the figure has sides. (32.) 113. If two angles have their containing sides respectively parallel to one another the lines...
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