 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.  Guide to the Civil service - Page 123by Henry White - 1864Full view - About this book
 | Euclides - 1864 - 262 pages
...; 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 ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines... | |
 | Euclides - 1864 - 448 pages
...; also that BC, CA are greater than AB. Therefore any two sides, &e. 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... | |
 | Euclides - 1865 - 402 pages
...opposite to it. Prop. 20. Any two sides of a triangle are together greater than the third side. Prop. 21. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. Prop. 22. To make a triangle of which the sides shall be equal to three given straight lines, but any... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. 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 ABC be a triangle, and from the points B, O, the ends of the side BC, let the two straight lines... | |
 | Robert Potts - 1868 - 434 pages
...; 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\>ea triangle, and from the points B, C, the ends of the side BC, let the two straight lines... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1870 - 196 pages
...D, E, respectively : show that if BE, CD intersect in F, AF is parallel to the tangents BD, CE. II. 1. Define a circle and a rhombus, and give Euclid's...contain a greater angle. 3. What is meant by a corollary 't State and prove the corollaries to the proposition in which it is proved that the three angles of... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...find BC, CA, greater than AB. XXI. — If from the ends of the side of a triangle, there be drawn t^vo straight lines to a point within the triangle, these...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,... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...lines). 2. If from the ends of a side of a triangle there be drawn two straight lines to a point wilhin the triangle, these shall be less than the other two...of the triangle, but shall contain a greater angle. 8. What is meant by a corollary 'i State arid prove the corollaries to the proposition in which it... | |
 | Braithwaite Arnett - 1874 - 130 pages
...subtend, or are opposite to, the equal angles shall be equal to one another. 2. If from the ends of the side of a triangle there be drawn two straight lines...the triangle, but shall contain a greater angle. 3. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...former, which is impossible. Hence it follows that PROPOSITION XVII. If from the ends of one of the sides of a triangle there be drawn two straight lines to...of the triangle but shall contain a greater angle. '~D a -# From the ends B, C of the side BC of the &ABC let the two straight lines BD, CD be drawn to... | |
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