 | Euclides - 1884 - 434 σελίδες
...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... | |
 | 1885 - 630 σελίδες
...produced, show by diagrams that there are several ways in which the line may be drawn. Prop. 2, Bk. I. 2. If from the ends of a side of a triangle there be...other two sides of the triangle, but shall contain я greater angle. Prop. 21, Bk. I. 3. Show that the vertex of an isosceles triangle and the intersections... | |
 | 1885 - 608 σελίδες
...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... | |
 | United States. Congress. Senate - 1880 - 1304 σελίδες
...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,... | |
 | Dalhousie University - 1888 - 212 σελίδες
...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...of the triangle, but shall contain a greater angle. 2. If a straight line falling on two others make either (1) th« alternate angles equal ; or (2) the... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...perimeter is greater than 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...of the triangle, but shall contain a greater angle. From the ends B, C of the side BC of the A ABC let the two st. lines BD. CD be drawn to a point D within... | |
 | Queensland. Department of Public Instruction - 1890 - 526 σελίδες
...KG : prove the parallelogram JM, less the parallelogram HL, is equal to twice the triangle EKG. 5. If from the ends of a side of a triangle there be 7 drawn two straight lines to a point within the triangle, these shall be less than the other two sides... | |
 | Rupert Deakin - 1891 - 102 σελίδες
...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...of the triangle, but shall contain a greater angle. 22. To make a triangle of which the sides shall be equal to three given straight lines, any two of... | |
 | Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...Prove that case of Euclid 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...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 σελίδες
...this ? 10. Prove 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...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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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... 
