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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... "
Guide to the three services: civil, naval, and military - Pagina 108
geredigeerd door - 1860
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...and reason as follows: " For, since BA and AC are together PROP. XXI. THEOR. 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 man the other two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 pagina’s
...BC, CA greater than AB. Therefore any two sides, &c. UED PROP. XXI. THEOR. If from the ends of the side of a triangle, there be drawn two straight lines...be less than the other two sides of the triangle, out shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...вc, CA greater than AB. Therefore any two sides, &c. QED PROP. XXI. THEOR. IF from the ends of the side of a triangle there be drawn two straight lines...within the triangle, these shall be less than the two other sides of the triangle, but shall contain a greater angle. Let the two straight lines BD,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pagina’s
...from B to C ; therefore BC is less than BA+AC or BA+AC>BC. PROP. XXI. THEOR. 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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The British Annals of Education for ...: Being The Scholastic ..., Volume 1

1844
...produced, the angles upon the other side of the base shall be equal. 3. If from the ends of the sides of a triangle there be drawn two straight lines to...of the triangle but shall contain a greater angle. 4. The straight lines which join the extremities of two equal and parallel straight lines are themselves...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...; 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...of 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...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagina’s
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOB. — 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. Let the two straight lines BD. CD be drawn from B, C, the ends of the side BC of the triangle ABC,...
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Report of the Committee of Council on Education (England and Wales ..., Volume 2

Great Britain. Council on Education - 1845
...58."The greater side of every triangle is opposite to the greater angle. 59. 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. 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...are greater than AC, and AC, CB, greater than AB. Wherefore, Any two sides c. QED PROP. XXI. THEOR. If from the ends of a side of a triangle there be...of the triangle, but shall contain a greater angle. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...Prop. a. AB + AC> BC. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. 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. 1'rup. 5. Ax. 9. Prop. 18. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the...
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