| 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.... | |
| 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... | |
| 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... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...from both members of the inequality, AB ie greater than BC — AC. THEOREn XVI. 70. The sum of the angles of any triangle is equal to two right angles. Let ABC he any triangle. To prove that the sum of angles A, B, and C is equal to two right angles : Produce... | |
| William Chauvenet - 1905 - 336 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... | |
| Arthur Schultze - Algebra - 1905 - 674 pages
...area would be increased (a) 17, (b~) 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°. The second angle equals three times the first, and the third angle 5 times the first: Find the... | |
| Benedictus de Spinoza - Metaphysics - 1905 - 300 pages
...having obtained this concept of God we consider the nature of a triangle we are compelled to affirm that the sum of its three angles is equal to two right angles ; or if we consider the nature of God, and this also compels us to affirm that He is perfectly true... | |
| 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... | |
| Arthur Schultze - Algebra - 1906 - 584 pages
...area would be increased (a) 17, (b) 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... | |
| Joseph Dietzgen - Dialectical materialism - 1906 - 460 pages
...Correct Thought," "that in accepting the hypothesis of a triangle I would have to accept the fact that the sum of its three angles is equal to two right angles. But nothing convinced me of the presence of such a triangle, while I found that my conception of the... | |
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