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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. "
Report on the examination for admission to the Royal military academy at ... - Pagina 19
di Woolwich roy. military acad - 1861
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...an equilateral and equiangular pentagon in a given circle. 4. Show how to trisect a right angle. 5. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 6. The angles in the same segment of a circle are equal to one...
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The Principles of Psychology, Volume 2

Herbert Spencer - 1882
...foregoing theorem is inconveniently long. Wo shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced...
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Gibson's London matriculation guide, by J. Gibson [and others].

1882
...of the base are equal. Prove this, if you so prefer, by the method of superposition. 2. Prove that the three interior angles of every triangle are equal to two right angles; and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal...
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The Cambridge Examiner, Volume 2

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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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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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pagine
...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...and the three interior angles of every triangle are together equal to two right angles. Given A ABC having ^ BC produced. To prove L ACD = LA Also, LA...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - 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...and the three interior angles of every triangle are together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the...
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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...and the three 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...
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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 pagine
...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...and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BG be produced...
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