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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 Elements of Euclid, the parts read in the University of Cambridge [book ... - Página 22
por Euclides - 1846
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 páginas
...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 páginas
...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 - 380 páginas
...5 also that BC, CA 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 tteo straight lines to a point within the triangle; these shall be less than the other two tides of...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 páginas
...the square of 1'732 differs 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...of the triangle, but shall contain a greater angle. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle and have...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 páginas
...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...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 páginas
...than CA; and BC, CA, 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 tioo straight lines to a point within the triangle ; then these shall be less than the other two sides...
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Responsions

University of Oxford - 1863 - 328 páginas
...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...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 - 122 páginas
...(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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 páginas
...; also that BC, CA 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...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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...; also that BC, CA 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...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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