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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. "
Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra - Page 85
by Lewis Sergeant - 1873
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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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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pages
...the side AB, is equal to twice the line joining C with the middle point of AB. 2. 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. 3. Triangles upon...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...H", ABC would only be equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If 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 AE lot one of its sides, BC...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Make a triangle having its sides equal to three...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...any 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 "be a triangle, and let the side .BCbe...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...straight line EAF parallel to the given straight line B CQEF PROPOSITION XXXII. THEOREM. lf 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. Let AB C be...
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