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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. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Pągina 36
per Euclides - 1877
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 pągines
...PROPOSITION XXI. 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...sides of the triangle, but shall contain a greater angle. • Steps of the Demonstration. 1. Prove that BA + AC > BE + EC, 2. that BE + EC > CD + DB,...
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The Elements of Euclid

Euclid - 1838 - 416 pągines
...ED 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...sides 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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 pągines
...UED 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 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: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pągines
...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. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...QED 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 than the two other sides of the triangle, but shall contain a greater angle. Let the two straight lines BD,...
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The British Annals of Education for ...: Being The Scholastic ..., Volum 1

1844
...base shall be equal. 3. If from the ends of the sides of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides 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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

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

Euclid - 1845 - 199 pągines
...PROPOSITION XXI. THEOB. — 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...sides 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...
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Report of the Committee of Council on Education (England and Wales ..., Volum 2

Great Britain. Council on Education - 1845
...the greater angle. 59. 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...sides 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 Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...PROP. XX. THEOR. 21. lEu. 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...sides of 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...
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