 | Robert Johnston (F.R.G.S.) - 1869 - 196 pàgines
...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...of the triangle, but shall contain a greater angle. 3. What is meant by a corollary ? State and prove the corollaries to the proposition in which it is... | |
 | Euclides - 1871 - 136 pàgines
...sides shall be more than double of the line joining the vertex and the point of bisection. SK 3 I ft from the ends of the side of a triangle, there be...straight lines to a point within the triangle; these will be less than the other sides of the triangle, but will contain a greater angle. Let ABC be a A... | |
 | Henry William Watson - 1871 - 320 pàgines
...proved, take away AB from each, therefore BC is greater than AC~AB. PROPOSITION 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these two lines shall be together less than the two remaining sides of the triangle. From B and C the ends... | |
 | Robert Johnston (F.R.G.S.) - 1872 - 218 pàgines
...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 pàgines
...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 - 1873 - 588 pàgines
...same 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 pàgines
...the 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...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 - 1874 - 400 pàgines
...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 pàgines
...than 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...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 pàgines
...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... | |
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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... 
