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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 ... - Pàgina 30
per Euclid, John Playfair - 1826 - 320 pàgines
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pàgines
...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 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. In any...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pàgines
...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 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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Responsions

University of Oxford - 1863 - 316 pàgines
...half the line and of the square on the line between the points of section. 7. 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. 8. Divide...
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Guide to the Civil service

Henry White - 1864 - 156 pàgines
...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 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. What...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pàgines
...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 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 ABC...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pàgines
...been proved that it is not equal to AB ; therefore AC is greater than AB. PROPOSITION XXI. TIIEOR. If from the ends of one side of a triangle there be...straight lines to a point within the triangle, these two straight lines are less than the two sides of the triangle, but contain a greater angle. Let the two...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pàgines
...are greater than AB. Therefore, any two sides, &c. QED PROP. XXI.— THEOREM. If from the ends of a side of a triangle there be drawn two 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....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pàgines
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a tide of a triangle, there be drawn two straight lines to a point within the triangle; these shall be less than the otlier two sides of the triangle, but shall contain a greater angle. Let ABC...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pàgines
...greater than AB. Wherefore, any two sides &c. QED 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. Let ABC...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pàgines
...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 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 ABC\>ea...
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