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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 ... - Page 36
by Euclides - 1877
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...PROP. XXI. THEOR. See N. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...of a triangle there N. " 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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...side. 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, but (hall contain a greater angle. Prop. XXII. Prob. To make a triangle of •which the sides shall be...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...ends.of the side of a triangle, there be drawn two straight lines to a point within the trir angle, these 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: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...Propoķiķion. XX/. Theoren. 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 В, С, the ends of the side BC of the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...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 eontain a greater angle. L'el the two straight lines BD, CD be drawn from B, C, the em's of the side...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...from the ends of the side of a triangle, there be drawn See N. two straight lines to a point 1cithin the triangle, these shall be less than the other two...sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, c 13. 1. 1 5. 1. t 9 Ax. 19. 1. the ends of...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...QED PROP. XII. 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. 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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. XXIV. If two triangles have two sides of the one equal to two sides of the other, each to each,...
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