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" IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 52
by Euclides - 1871
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...side. Construct the triangle when each side is equal to half the sum of the other two. SECrION III. 1. The three interior angles of every triangle are together equal to two right angles. What ratio does the angle of a regular hexagon bear to a right angle ? 2. Triangles upon the same base...
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Class lessons on Euclid

Marianne Nops - 1882
...two right angles. SUMMABY OF PROPOSITION XXXII., THEOREM 22.If a side of any triangle be produced (1) the exterior angle is equal to the two interior and opposite angles, (2) and the three interior angles of every triangle are together equal to two right angles. I. To show...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882
...diagonals of a parallelogram are together equal to the squares of the four sides. 12. If a side of a triangle be produced the exterior angle is equal to the two interior, opposite angles ; and the three interior angles of every triangle are together equal to two right angles....
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883
...shall be greater than the angle contained by the sides equal to them of the other. Euclid, I., 24. 2. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the same side of it are between the same...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pages
...straight lines which meet at a point, these two shall be in the same straight line. PROP. 32. THEOR. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Given A ABC having ^ BC produced. To prove L ACD = LA Also, LA + LB + L ACB = 2 Lr-s. C " Through C...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...lines in B and C, so that BC may be equal to a given straight line. PROPOSITION XXXII. THEOREM. If a Me of any triangle be produced, the exterior angle is...interior angles of every triangle are together equal to tiro right angles. .n Let ABC be a A , and let one of its sides, BC, be produced to D. Then will I....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...the given straight line BG. QEF PROPOSITION 32. THEOREM. If a side of any triangle be produced, tJie exterior angle is equal to the two interior and opposite...every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BG be produced to D : the exterior angle A CD shall...
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Annual Report

1886
...to find x. EUCLID. FIRST DIVISION. 1. Define a right angle, a circle, a square. 2. If one side of a triangle be produced, the exterior angle is equal...opposite angles, and the three interior angles of any triangle are together equal to two right angles. >. 8. To make a parallelogram equal to a given...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...from a given point parallel to a given straight line in either direction. PROPOSITION XXXIL THEOREM. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. In the triangle ABC ; GIVEN that BC is produced to D ; IT is REQUIRED TO PROVE that the angle ACD is...
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Cambridge University Examination Papers

University of Cambridge - 1884
...condition ? 2. Any two sides of a triangle are together greater than the third side. 3. If a side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are equal to two right angles. 4. If the square described on one of the sides of a triangle be equal to...
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