| Euclides - 1884 - 434 pàgines
...semi-perimeter is less, than the sum of the three medians. PROPOSITION 21. THEOREM. If from the ends of any side of a triangle there be drawn two straight lines to a point within the triangle, these straight lines shall be together less than the other two sides of the triangle, but shall contain a... | |
| Stewart W. and co - 1884 - 146 pàgines
...angle NOM shall coincide with angle KMO, and is therefore equal to it. QED 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. Write out... | |
| United States. Congress. Senate - 1880 - 1304 pàgines
...possible, by mean« of Euclid's constructions, to divide a right angle t 'i- If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these straight lines shall be less than the other two sides of thr triangle. A triangle and a quadrilateral,... | |
| 1885 - 604 pàgines
...to be worked by male candidates. II. [15] GEOMETRY. Time, 1 luour 30 min. ]. It from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle ; these will be together less than the other sides of the triangle, but will contain a greater angle. -. If... | |
| Dalhousie University - 1888 - 212 pàgines
...MACDONALD, MA GEOMETRY AND ALGEBRA. (Matriculation in Arts.) TIME : THREE HOURS. 1. 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. 2. If a... | |
| Queensland. Department of Public Instruction - 1890 - 526 pàgines
...Euc. I. 7 where the vertex of each triangle is without the other triangle. 3. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall contain a greater angle than the angle contained by tht> other two sides of the triangle. 4.... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pàgines
...two.thirds of the sum of the three diagonals AD, BE, CF. PROPOSITION 21. THEOREM. 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. From the... | |
| Rupert Deakin - 1891 - 102 pàgines
...20. Any two sides of a triangle are together greater than the third side. 21. 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. 22. To make... | |
| Queensland. Department of Public Instruction - 1892 - 508 pàgines
...I. 7, where the vertex of each triangle is without the other triangle. 17 5. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle. 20 6. If two triangles... | |
| Euclid, John Bascombe Lock - 1892 - 188 pàgines
...Proposition 20 by bisecting one of the angles. [See XXI. 10.] Proposition 21. 101. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, then I. these straight lines together shall be less than the two sides of the triangle together, and... | |
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