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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 of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 311
1858
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 234 pages
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle tn equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and let the side BC be produced uo D ; then...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...of -0031843449. EUCLID. 1. If a side of a triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three...every triangle are together equal to two right angles. Hence show that all the exterior angles of any rectilineal figure made by producing the sides successively...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859
...than the third side. Madras ^e difference of any two sides is always less than the third side. " 4. The three interior angles of every triangle are together equal to two right angles. How many degrees are there in an angle of a regular octagon? 5. In any right angled triangle, tire...
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 450 pages
...produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. 9 & 10. Em. H. 1 & 2.) THEOREM V. Parallelograms standing on the same base, and...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. PROP. XXXII. — If a side of any triangle be produced,...prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight line to apply a parallelogram, which shall be equal to a given...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. PROP. XXXII. — If a side of any triangle be produced,...every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line...
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced,...every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...been drawn a straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Let ABCbe a triangle, and let one of its sides UCbe produced to D. Then the exterior angle A CD shall...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...the same : and thence show that two straight lines cannot have a common segment. 4. If the side of a triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 5. Describe a square on a given straight line. 6. Define " a gnomon" and " a rectangle." 7. The parallelograms...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...drawn through the given point A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Given a triangle ABC, having one of its sides BC produced to D ; to prove...
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