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" 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. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Page 22
by Euclides - 1853
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...postulate " 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...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...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...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...of the triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...same ; and hence shew that two straight lines cannot have a common segment. 4. If from the ends of a side of a triangle, there be drawn two straight lines...of the triangle, but shall contain a greater angle. 5. If two triangles have two angles of the one equal to two angles of the other, each to each, and...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...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...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...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...are 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 a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn tteo straight lines to a point within the triangle; these shall be less than the other two tides of the triangle, but shall contain a greater angle. Let ABCbe a triangle, and from the points...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...Find the interest on 1049Z. 16s. Gd. for 6 years 4 months at 4^ per cent., simple interest. Euclid. 1. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...greater than AB. Conclusion. — Therefore, any two sides, &.c. Q. JE. D. PROPOSITION 21.— THEOREM. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. (References— Prop. I. 16, 20; ax. 4.) Hypothesis. — Let ABC be a triangle, and from ths points...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...ends of 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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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...parallelogram equal to a given 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...than the other two sides of the triangle, but shall confine a greater angle. 4. Divide a given straight line into two parts so that the rectangle contained...
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