 | Robert Johnston (F.R.G.S.) - Civil service - 1872 - 218 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...within the triangle, these shall be less than the oiher two sides of the triangle, but shall contain a greater angle. 3. What is meant by a corollary... | |
 | 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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...manner it mny be shown that AB, BC, are greater than CA ; 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 shall be less than the other two sides of... | |
 | Braithwaite Arnett - 1874 - 130 pages
...sides 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...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
...AC ; and 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...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... | |
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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. Let... 
