 | William Chauvenet - 1893 - 340 pages
...interior angles on the same side of the secant line is equal to two right angles. PROPOSITION XXVI. The sum of the three angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two... | |
 | Rutgers University. College of Agriculture - 1893 - 682 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... | |
 | 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... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...ABC =Z DEF. Whence, Z ABC is the supplement of Z DEG. PROPOSITION XXVI. THEOREM. 82. The sum of the angles of any triangle is equal to two right angles. Let ABC be any triangle. To prove ZA +ZB +ZC = two right angles. Produce AC to D, and draw CE parallel to AB. Then since the... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...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... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...the difference of the other two sides. PROPOSITION XII. THEOREM. 79. The sum of the three angles of a triangle is equal to two right angles. Let ABC be any triangle. To prove that Z A + Z B + Z BC A is equal to two right angles. From C draw CE parallel to AB. By (62)... | |
 | 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
...propositions, but in subordinate propositions it does not always hold. " The earth is a sphere," and " The sum of the three angles of any triangle is equal to two right angles," are correct sentences; but "Columbus believed that the earth is a sphere," and " Some old mathematician... | |
| |
The sum of the three angles of any triangle is equal to two right angles. 
