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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 together equal to two right angles. "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 74
by Charles Reiner - 1837 - 215 pages
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...two sides of the triangle, but shall contain a greater angle. 3. PROP. XXXII. — 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 together equal to two right angles. 4. Enunciate...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...other two sides of the triangle, but shall contain a greater angle. PROP. XXXII. — 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 together equal to two right angles. Enunciate...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...base equal to one another, and also those terminated in the other extremity — (first case only). 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Any two bides of a triangle are greater than...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC lie a triangle, and let the side BCbe...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - Nautical astronomy - 1861 - 136 pages
...must the whole angle ADB be the double of the angle ACB. Fig. 17. 24. Euc. I. Prop. XXXII. — If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of any triangle are equal to two right angles. Fig. 18. !>„ Reference...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...9. Find the value of - — --- Q'^— by means of 10o the logarithmic tables. 10. 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. The angle between...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...10s for 4 months at 4 per cent, per annum. 10. Extract the square root of '191810713444. Euclid. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given rectilineal...
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Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

S. M. Saxby - Marine engines - 1862 - 200 pages
...ECB, so must the whole angle ADB be the double of the angle AC B. *28. Euc. I. Prop. XXXII.— If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of any triangle are equal to two right angles. Eeference to Prop XXIX....
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...equal when they are right angles. ELEMENTS OF GEOMETRY. PROPOsrnojf XXVII. — THEOREM. 94. Jf any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and ^ E let one of its sides, BC...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...given straight line BC. QEF PROP. XXXII.— THEOREM. Jf the side of any triangle be produced; then the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. (References—...
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