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" If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 28
by Robert Simson - 1806 - 518 pages
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...interest upon 166Z. 13s. in 3 years, at 4£ per cent. 10. Extract the square root of '03456. EUCLID. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each...
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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...than either of the interior opposite angles. Let ABC lie a triangle, and let the side BCbe produced to D. Then the exterior angle A CD shall be greater...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 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...greater than either of the interior opposite angles. Given a triangle ABC, and its side BC produced to D, to prove that the exterior angle ACD is greater...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 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...greater than either of the interior opposite angles. 4. Any two bides of a triangle are greater than the third. Show that the difference of any two sides...
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Lectures Delivered Before the Young Men's Christian Association ..., Volume 15

Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...problems, and thus advanced gradually as far as the 32nd proposition of Euclid, which runs thus :—" If one side of a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle...
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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...greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...decimal of 51. 10. Find (-05)3. Extract the square root of 17 to three decimal places. EUCLID. 1. If a side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given triangle, and having one of its angles equal to a right...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...either of the interior opposite angles. (Deferences — Prop. I. 3, 4, 10, 15; ax. 9.) Hypothesis. — Let ABC be a triangle, and let its side BC be produced to D. Sequence. — The exterior angle ap ACD shall be greater than either of the interior opposite angles...
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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...greater than either of the interior opposite angles. 4. Make a triangle having its sides equal to three given straight lines, of which any two whatever...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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...interior opposite angles. Let ABC "be a triangle, and let the side .BCbe produced to D. Then the exterior angle A CD shall be greater than either of the interior...
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