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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. "
National Society's Monthly Paper - Página 107
1855
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The Oxford examiner, ed. by M.W.I. Shilleto, Temas1-5

Mary W I. Shilleto - 1882 - 418 páginas
...In Euclid's figure for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 2. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Enunciate and prove the corollaries to this proposition. Trisect a right...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 páginas
...any triangle ABO is bisected by Bit, which cuts the base in D ; prove that BO is greater than GD. 4. The three interior angles of every triangle are together equal to two right angles. Enunciate the two corollaries of this Proposition, but give the proof of the second corollary only....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 páginas
...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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The Cambridge Examiner, Volumen2

1882 - 498 páginas
...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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Class lessons on Euclid

Marianne Nops - 1882 - 278 páginas
...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 Practical Teacher; with which is Incorporated the Practical ..., Volumen2

Joseph Hughes - 1883 - 568 páginas
...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 - 176 páginas
...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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The Practical Teacher, Volumen2

1883 - 654 páginas
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 páginas
...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 - 1883 - 428 páginas
...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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