 | Euclides - 1834 - 518 pages
...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 ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines BD,... | |
 | Mathematics - 1836 - 488 pages
...two sides of a triangle are together greater than the third side. XXI. If from the ends of one side of a triangle, there be drawn two straight lines to...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, but... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...two sides, &c. QED . • > it PROP. XXI. THEOR. If from the end# of one side of a triangle, there N. be drawn two straight lines to a point within the...be less than the other two sides of the triangle, biit shall contain a greater angle. Let the two straight lines BD, CD be drawn from B, <I, the ends... | |
 | John Playfair - Geometry - 1836 - 148 pages
...therefore, ACB is not a right angle. Therefore, From, &c. 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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...greater than CA, and BC, CA, greater than AB. 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 two lines shall he less than the other two sides of the triangle, but shall contain a greater angle. Let the two straight... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...other pairs of sides is > the remaining side. 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 than the other two sides of the triangle, but shall contain a greater angle. • Steps... | |
 | Euclides - 1838 - 264 pages
...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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...greater than AB. Therefore any two sides, &c. Q,. 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 than the other two sides of the triangle, but shall contain a greater angle. * Let the... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 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... | |
 | Euclides - 1842 - 316 pages
...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 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... | |
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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. 
