 | Robert Potts - 1860 - 380 σελίδες
...5 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 drawn tteo straight lines to a point within the triangle; these shall be less than the other two tides of... | |
 | War office - 1861 - 714 σελίδες
...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 - 140 σελίδες
...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 - 172 σελίδες
...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... | |
 | University of Oxford - 1863 - 316 σελίδες
...rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If from the ends of the side of a triangle there be drawn two straight lines...than the other two sides of the triangle, but shall confine a greater angle. 4. Divide a given straight line into two parts so that the rectangle contained... | |
 | Euclides - 1863 - 122 σελίδες
...(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... | |
 | Euclides - 1864 - 448 σελίδες
...; 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... | |
 | Henry White - 1864 - 156 σελίδες
...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 - 1864 - 262 σελίδες
...; 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... | |
 | Euclides - 1865 - 402 σελίδες
...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.... | |
| |
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... 
