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" Thus, when it is said that, 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. "
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 2
av Charles Hutton - 1825
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Regents Examination Papers

University of the State of New York. Examination Department - 1894 - 412 sider
...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...
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Elements of Mechanical Drawing

Gardner Chace Anthony - 1894 - 190 sider
...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...
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Biennial Report, Superintendant of Public Instruction, State of Florida

1899 - 508 sider
...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...
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - 1899 - 39 sider
...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...
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Mechanics, Theoretical, Applied, and Experimental

William Wade Fitzherbert Pullen - 1902 - 436 sider
...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....
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Grammar of the English Sentence

Jonathan Rigdon - 1903 - 312 sider
...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...
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Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - 1903 - 154 sider
...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...
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Advanced Algebra

Arthur Schultze - 1905 - 674 sider
...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...
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Elementary Algebra

Arthur Schultze - 1905 - 396 sider
...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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Advanced Algebra

Arthur Schultze - 1906 - 584 sider
...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...
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