 | Civil service - 366 pages
...postulate " and an " axiom." Write down Euclid's three postulates. PROP. XXI. — If from the ends of aside of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. PROP. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior... | |
 | Euclides - 1860 - 288 pages
...are greater than CA, and BC and CA greater than AB. PBOPOSITION XXI. THEOREM. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 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 - 140 pages
...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 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 drawn tioo straight lines to a point within the triangle ; then these shall be less than the other two sides... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 pages
...(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 - 262 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 ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines BD,... | |
 | Euclides - 1864 - 448 pages
...; 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...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 BD,... | |
| |
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. 
