| Henry Major - Student teachers - 1873 - 592 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...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, to the point D within it; BD and... | |
| Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...and a rhombus, and give Euclid's 12th axiom (relating to parallel 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 sides of the triangle, but shall contain... | |
| Braithwaite Arnett - 1874 - 130 pages
...also which 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...of 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... | |
| Edward Atkins - 1874 - 426 pages
...BC, CA greater than AB. Therefore any two sides, <fec. QED Proposition 21. — Theorem. If from the **ends of the side of a triangle there be drawn two...triangle, these shall be less than the other two sides of** t/ie triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C,... | |
| Bombay city, univ - 1874 - 648 pages
...ratio and similar rectilineal figures. 2. If from the ends of a Bide of a triangle there be drawn 6 **two straight lines to a point within the triangle...of the triangle, but shall contain a greater angle.** If two points be taken in the base of a triangle at equal dis- 6 tances from, and on opposite sides... | |
| Edward Atkins - 1874 - 428 pages
...greater than AB. Therefore any two sides, &c. QED Proposition 21. — Theorem. If from the ends of t/ie **side of a triangle there be drawn two straight lines to a point within the triangle, these shall be** las titan the other two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle,... | |
| Euclides - 1874 - 120 pages
...quadrilateral are together greater than its two diagonals. PROPOSITION 21. THEOREM. If from the ends of ike **side of a triangle there be drawn two straight lines to a point within the triangle, these** slutll be less than the other two sides of the triangle, but shall contain a greater angle. j Let ABC... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...THEOREM. (Euc. I. 21.) If from the extremities of one side of a triangle, two straight lines be drawn **to a point within the triangle, these shall be less than the other two sides,** but sliall contain a greater angle. Let BO and CO be drawn from the ends of the side BC to any point... | |
| Euclides - 1874 - 342 pages
...two sides, &c. QED PROPOSITION 21. — Theorem. If from the ends of a side of a triangle, there lie **drawn two straight lines to a point within the triangle, these shall** lie less than the other two sides of the triangle, but shall contain a greater angle. Let ABC be a... | |
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