| Henry White - 1864 - 156 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...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... | |
| 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... | |
| Euclides - 1865 - 402 pages
...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 drawn 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.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...greater than AC, and BC, CA greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. If **from, the ends of the side of a triangle there be...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 AC, and BC, CA 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...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
...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 drawn two straight lines...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
...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 pages
...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 - Geometry - 1871 - 320 pages
...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... | |
| |