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" IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. "
The Teaching of Geometry - الصفحة 182
بواسطة David Eugene Smith - 1911 - عدد الصفحات: 339
عرض كامل - لمحة عن هذا الكتاب

Pascal

John Tulloch - 1878 - عدد الصفحات: 205
...arrested him in his task, although so absorbed was he in it, that 1 " The exterior angle of a triangle is equal to the two interior and opposite angles ; and the three interior angles are together equal to two right angles." ho did not at first recognise his father's presence. The older...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...line given in position an equilateral triangle. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a A, and let one of its sides BC be produced...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...line EAF has been drawn parallel to B C. QEF Proposition XXXII. Theorem. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle. Let one of its sides...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - عدد الصفحات: 36
...of a triangle ABC, so that DE is equal to the difference of BD and CE. 32. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of every triangle are together equal to two right angles. If the straight line bisecting the exterior...

The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879
...where it is manufactured. EUCLID. (OPTIONAL.)— Time allowed 1| hour. 1. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 2. In every triangle, the square of the side...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...substitute for Euclid's 1 2th axiom in proving this proposition? Section II. 1. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and thi three interior angles of any triangle are equal to two righ, angles. Enunciate and prove Euclid's...

Worthies of Science

John Stoughton - 1879 - عدد الصفحات: 342
...thirtysecond proposition of the first book of Euclid, namely, that the exterior angle of a triangle is equal to the two interior and opposite angles, and the three interior angles are together equal to two right angles. Before he had reached his seventeenth year he wrote a treatise...

Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...opposite angles. Prove this ; and say why it is necessary to do so, since it is afterwards shown that the exterior angle is equal to the two interior and opposite angles. 2. If a straight line meets two parallel straight lines, what do you know about the interior angles...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - عدد الصفحات: 119
...intersecting in E ; prove that AE = ED and that BE = EC. D PROP. XXXII. THEOREM. // a aide of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides,...

The student's guide to the University of Durham, with information respecting ...

1880 - عدد الصفحات: 144
...cut one another, the vertical, or opposite, angles shall be equal. (iv.) If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. (v.) Parallelograms on the same base, and between...




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