| War office - 1861 - 12 pages
...the square of 1'732 differs from 3 : find the square root of 71 to three decimal places. EUCLID. 1. **If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle.** 2. To a given straight line apply a parallelogram which shall be equal to a given triangle and have... | |
| Euclides - 1862
...Conclusion. — Therefore, any two sides, &.c. Q. JE. D. PROPOSITION 21.— THEOREM. If from the ends of the **side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle.** (References— Prop. I. 16, 20; ax. 4.) Hypothesis. — Let ABC be a triangle, and from ths points... | |
| Euclides - 1862
...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 drawn** tioo straight lines to a point within the triangle ; then these shall be less than the other two sides... | |
| Euclides - 1863
...(ABC), there be drawn two straight lines to a point (D) within the triangle, these (BD and CD) together **shall be less than the other two sides of the triangle, but shall contain a greater angle.** Produce BD to E. Then, tie two Bides BA, AE, of the triangle unequals add EC. Therefore the two sides... | |
| 1864
...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...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 proved... | |
| Robert Potts - 1864
...; also that BC, CA are greater than AB. Therefore any two sides, &e. QED PROPOSITION XXI. THEOREM. **If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle.** Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines... | |
| Robert Potts - 1864
...; 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...of the triangle, but shall contain a greater angle.** Let ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines... | |
| Alexander Kennedy Isbister - 1865
...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.... | |
| 1865
...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 - 400 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...of 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... | |
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