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" If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 23
av John Playfair - 1837 - 318 sider
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...greater than CA, and BC and CA greater than AB. PBOPOSITION XXI. THEOREM. If from the ends of one side of a triangle, there be drawn two straight lines to...of the triangle, but shall contain a greater angle. Given the two straight lines BD and CD, drawn from B and C^the ends of the side BC of the triangle...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 sider
...postulate" and an " axiom." Write down Euclid's three postulates. PROP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. PROF. XXXII....
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 sider
...postulate " and an " axiom." Write down Euclid's three postulates. PROP. XXI. — If from the ends of aside of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. PROP. XXXII....
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 sider
...and an " axiom." Write down Euclid's three postulates, 3. PROP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. PROP....
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 sider
...are either two right angles, or are together equal to two right angles. 4. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. . 5. The...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 sider
...from 3 : find the square root of 71 to three decimal places. EUCLID. 1. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 2. To a...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 sider
...a side of a triangle there be drawn tioo straight lines to a point within the triangle ; then these shall be less than the other two sides of the triangle, but shall contain a greater angle. (References — i. 16, 20; ax. 4.) Let the two straight lines BD, CD, be drawn from B, C, the ends...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...— Therefore, any two sides, &.c. Q. JE. D. PROPOSITION 21.— THEOREM. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. (References—...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 sider
...(ABC), there be drawn two straight lines to a point (D) within the triangle, these (BD and CD) together shall be less than the other two sides of the triangle, but shall contain a greater angle. Produce BD to E. Then, tie two Bides BA, AE, of the triangle unequals add EC. Therefore the two sides...
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Responsions

University of Oxford - 1863 - 316 sider
...rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall confine a greater angle. 4. Divide...
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