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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. Let... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 15
von Euclides - 1853 - 147 Seiten
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...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 - 1860 - 361 Seiten
...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 - 12 Seiten
...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 drawn two...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
...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 drawn two...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
...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 - 1863
...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 drawn two...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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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...(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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...are greater than AB. Therefore any two sides, &e. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...are greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines BD,...
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Guide to the Civil service

Henry White - 1864
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. 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. What is meant by a corollary? State and prove the corollaries to the proposition in which it is...
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