| Herbert Spencer - Philosophy - 1910 - 780 pages
...foregoing theorem is inconveniently long. We shall find a titter one in Proposition xxxii. " If the **side of any triangle be produced, the exterior angle...every triangle are together equal to two right angles.** " Let ABC be a triangle, and let one of its sides BC be produced to D; then the exterior angle ACD... | |
| David Eugene Smith - Geometry - 1911 - 360 pages
...is equal to two right angles. Euclid stated this as follows : " In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of** the triangle are equal to two right angles." This states more than is necessary for the basal fact... | |
| Henry Charles Adams - Sewerage - 1911 - 196 pages
...object with regard to the coast, by observations taken from the object. They are Euclid I. (32), " **The three interior angles of every triangle are together equal to two right angles** " ; Euclid III. (20), " The angle at the centre of a circle is double that of the angle at the circumference... | |
| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...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.... | |
| Great Britain. Board of Education - Education - 1912 - 1048 pages
...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.... | |
| Freemasonry - 1913 - 844 pages
...Forty-seventh Problem, there are several other equally important problems ascribed to him. Among these are: the **interior angles of every triangle are together equal to two right angles;** that the only polygons which fill up the whole space about a given point are the equilateral triangle,... | |
| Geraldine Emma Hodgson - English poetry - 1919 - 242 pages
...the domain of the exact sciences. It was understood that, in a general way, such propositions as that **the three interior angles of every triangle are together equal to two right angles,** are, cceteris paribus, sufficiently demonstrable to pass muster for daily use. Though this might be... | |
| Mathematical Association - Geometry - 1923 - 88 pages
...draw a straight line parallel to a given straight line. I. 32 : In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of** the triangle are equal to two right angles. I. 47 : In right-angled triangles the square on the side... | |
| G.E. Martin - Mathematics - 1997 - 536 pages
...to draw a straight line parallel to a given straight line. 32. In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of** the triangle are equal to two right angles. 33. The straight lines joining equal and parallel straight... | |
| Saskatchewan. Department of Education - Education - 1910 - 260 pages
...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...opposite angles; 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... | |
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