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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
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Introduction and books 1,2

Euclid - 1908 - عدد الصفحات: 550
...angles. This is of course what is generally given in the text-books as Corollary 2. PROPOSITION 16. In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. Let ABC be a triangle, and let one side of...

Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1909 - عدد الصفحات: 560
...third angle of the one equal to the third angle of the other. (Prop. 26.) 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. (Prop. 32.) Triangles on the same base and between the...

Annual Report of the Association of Ontario Land Surveyors, المجلد 17

Association of Ontario Land Surveyors - 1909 - عدد الصفحات: 254
...enual, these straio.ht lines are two and two in the same straio.ht line. 4. If a side of anv triangle be produced, the exterior angle is equal to the two interior and ormosite angles ; and the three interior angles of every triangle are together equal to two right angles....

Principles of psychology

Herbert Spencer - 1910 - عدد الصفحات: 780
...inconveniently long. We shall find a titter one in Proposition xxxii. " If the 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, and let one of its...

Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field

Jacob William Albert Young - 1911 - عدد الصفحات: 432
...adjacent angles equal to two right angles the two rays will be in the same line with one another. 16. In any triangle, if one of the sides be produced the exterior angle is greater than either of the interior and opposite angles. 17. In any triangle two angles taken together...

Special Reports on Educational Subjects, المجلدات 26-27

Great Britain. Board of Education - 1912 - عدد الصفحات: 1044
...polygons. Measure exterior angle and the two interior and opposite angles of a triangle, and show that the exterior angle is equal to the two interior and opposite angles. Show that the greater angle of a triangle is opposite to the greater side, &c. Third Tear. Arithmetic....

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - عدد الصفحات: 632
...polygons. Measure exterior angle and the two interior and opposite angles of a triangle, and show that the exterior angle is equal to the two interior and opposite angles. Show that the greater angle of a triangle is opposite to the greatei side, &c. Third Year. Simple interest....

The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - عدد الصفحات: 536
...straight lines cut one another, they make the vertical angles equal to one another. (Theorem 14.11) 16. In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. (Theorem 17.9) 17. In any triangle two angles...
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Annual Report

Saskatchewan. Department of Education - 1910 - عدد الصفحات: 260
...circumstances concurred to give the Midland Dialect predominance ? . GEOMETRY. 1. (a) If a side of a triangle be produced the exterior angle is equal to the two...and the three interior angles of the triangle are together equal to two right angles. I. 32. (6) Eind the number of right angles in (i) the interior,...

Geometry: A Comprehensive Course

Daniel Pedoe - 1988 - عدد الصفحات: 468
...another. 15 If two straight lines cut one another, they make the vertical angles equal to one another. 16 In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. 17 In any triangle two angles taken together...
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