 | William Chauvenet - 1893 - 340 pages
...perpendicular to one of two parallel lines is perpendicular to the other. PROPOSITION XXVI.—THEOREM. 50. The sum of the three angles of any triangle is equal to two right angles. Let ABC be any triangle; then the sum of its three angles is equal to two right angles. Produce BC,... | |
 | Rutgers University. College of Agriculture - 1893 - 680 pages
...carpet a meter in width is required to carpet a room 4.2 meters long and 3.8 meters wide ? GEOMETRY. 1. The sum of the three angles of any triangle is equal to two right angles. 2. An inscribed angle is measured by one-half the arc intercepted between its sides. 3. The perimeters... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...demonstrate the relation existing between the segments of two chords which intersect within a circle. 8 Prove that the sum of the three angles of any triangle is equal to two right angles. 9 What is the measure of an inscribed angle ? Prove the correctness of your answer. 10 Show how the... | |
 | Gardner Chace Anthony - Mechanical drawing - 1894 - 190 pages
...altitude of a triangle is measured by a perpendicular line let fall from the vertex upon the base. The sum of the three angles of any triangle is equal to two right angles, or 180°. QUADRILATERALS. SQUARE. RECTANGLE. RHOMBUS. RHOMBOID. A figure of four sides is called a... | |
 | Harvard University - Geometry - 1899 - 39 pages
...line is perpendicular to one of two parallel lines, it is perpendicular to the other. THEOREM XIX. The sum of the three angles of any triangle is equal to two right angles. THEOREM XX. The sum of the angles of a polygon of n sides is 2n — 4 right angles. THEOREM XXI. If... | |
 | Education - 1899 - 508 pages
...problem; (g) a theorem; (h) a hypothesis; (i) a corollary; (j) a postulate. 1 credit each. 3. Demonstrate: The sum of the three angles of any triangle Is equal to two right angles. 10 credits. 4. Demonstrate: If in any triangle a line be drawn from any angle to the middle of the... | |
 | William Wade Fitzherbert Pullen - Mechanics - 1902 - 436 pages
...satisfy himself of their accuracy by drawing the figures to scale, and testing by actual measurement. (1) The sum of the three angles of any triangle is equal to two right angles or 180°. (2) The opposite angles between a pair of intersecting straight lines are equal. In Fig.... | |
 | Jonathan Rigdon - English language - 1903 - 312 pages
...sentences; but "Columbus believed that the earth is a sphere," and " Some old mathematician proved that the sum of the three angles of any triangle is equal to two right angles," cannot claim to be more than elegant examples of false syntax, notwithstanding the sanction of nearly... | |
 | Alfred Baker - Geometry - 1903 - 154 pages
...exterior angle of any triangle is greater than either of the interior and opposite angles. Also, since the sum of the three angles of any triangle is equal to two right angles, the sum of any two angles of a triangle is less than two right angles. We may, however, by elongating... | |
 | Arthur Schultze - 1905 - 396 pages
...area would be increased (a) 17, (6) 917, (c) 415,673 square feet. Find the side of the square. 51. The sum of the three angles of any triangle is equal to 180°. In a given triangle the second angle equals three times the first, and the third angle 5 times... | |
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The sum of the three angles of any triangle is equal to two right angles, this is a . Theorem, the truth of which is demonstrated by Geometry. 
