 | Henry White - 1864 - 156 pages
...2. 1. Define a circle 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...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 - 1865 - 402 pages
...than CA; and BC, CA, are greater than AB. Therefore, any two sides, &c. QED PROP. XXI.— THEOREM. If from the ends of a side of a triangle there be...two straight lines to a point within the triangle; then these shall be less than the other two sides of the triangle, but shall contain a greater angle.... | |
 | Robert Potts - 1865 - 528 pages
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a tide of a triangle, there be drawn two straight lines to...within the triangle; these shall be less than the otlier two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from... | |
 | Euclides - 1865 - 80 pages
...not equal to AB ; therefore AC is greater than AB. PROPOSITION XXI. TIIEOR. If from the ends of one side of a triangle there be drawn two straight lines to a point within the triangle, these two straight lines are less than the two sides of the triangle, but contain a greater angle. Let the... | |
 | 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...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 BD,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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...a point within the triangle, these. shall be less tKan the other two sides of the triangle, but thall contain a greater angle. ',air»t Let ABC be a... | |
 | 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...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 BD,... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...II. 1. Define a circle 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...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... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...has been already 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...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... | |
 | Euclides - 1871 - 136 pages
...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 drawn two 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... | |
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If from the ends of a 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. 
