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الكتب الكتب 91 - 100 من 193 فيTherefore all the angles of the figure, together with four right angles, are equal....
" 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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...equal (Ax. 1) to two right angles. Wherefore, if a side of any triangle be produced, &c. QED СOR. 1. — All the interior angles of any rectilínea]...twice as many right angles as the figure has sides. Let AB С DE be any rectilineal figure. All the interior angles ABС, BСD, &c. together with four...
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A Treatise on Land-Surveying Comprising The Theory Developed from Five ...

W.M. Gillespie, A.M., Civ. Eng - 1855
...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
...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...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

Cambridge univ, exam. papers - 1856
...also without construction, by superposition. 3. Prove 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; 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, المجلد 5

1856
...triangles thus formed 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 - عدد الصفحات: 185
...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 - عدد الصفحات: 464
...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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...one 'of the angular points of a rectilineal figure to each of the others, that its interior angles together with four right angles are equal to twice as many right angles as the figures has sides. 3. The opposite sides and angles of parallelograms are equal to one another. A quadrilateral...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - عدد الصفحات: 104
...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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A complete set of male pupil teachers' examination questions in Euclid [book ...

1879 - عدد الصفحات: 36
...produced to meet, the angles formed by these lines, together with eight right angles, are together equal to twice as many right angles as the figure has sides. Same proposition. ABC is a triangle right-angled at A, and the angle B is double of the angle C. Show...
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