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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 ... - Página 22
por Euclides - 1853
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...are greater than CA, and 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 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
...are greater than CA, and 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...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 - 332 páginas
...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 ..., Volúmenes1-2

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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Report of the Committee of Council on Education (England and Wales ..., Volumen2

Great Britain. Council on Education - 1845
...equal to one another. 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...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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 páginas
...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 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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 130 páginas
..., (AB + BC > AC, Similarly, { BC J AC > AB. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. If from the ends of the side of a triangle, there...the triangle, but shall contain a greater angle. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the point D within the ^\; then...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 130 páginas
...BD>BC; B'D = AB + AC, 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...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 páginas
...greater than CA, and BC, CA greater than AB. SCHOLIUM. E 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 First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 páginas
...from two gn. pts. c, D, &c. — QEF PROP. XXI. THEOR. GEN. ENUN. — If, from the ends of one aide of a triangle, there be drawn two straight lines to...of the triangle, but shall contain a greater angle. PART. ENUN. — Let ABC be a A. From B, c, the extremities of the side BC, draw the st. lines BD, CD,...
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