 | Euclides - 1884 - 214 σελίδες
...opposite to it. Axiom 2. If equals be added to equals the wholes are equal. PROPOSITION XXI. THEOREM. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. In the triangle ABC ; GIVEN that D is a point within it, and BD and DC are joined ; IT is REQUIRED... | |
 | Euclides - 1884 - 94 σελίδες
...1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION XXL If from the ends of a side of a triangle, there be drawn two straight lines...of the triangle, but shall contain a greater angle. Let be a triangle, and from the points , , the ends of the side , let the two straight lines , be drawn... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...than CA ; and BC, CA, greater than AB. XXI. — If from the ends of the side of a triangle, there lie drawn two straight lines to a point within the triangle,...of the triangle, but shall contain a greater angle. Let the two straight lines BD, CD, be drawn from B,C, the ends of the side BC of the triangle ABC,... | |
 | Euclides - 1884 - 182 σελίδες
...greater than AB. Wherefore any two sides, &c. QED 59. PROPOSITION XXI. — THEOREM. If from the ends of a side of a triangle there be drawn two straight lines...within the triangle, these shall be less than the two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and D a point... | |
 | 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
...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 drawn two straight lines...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... | |
 | United States. Congress. Senate - 1880 - 1302 σελίδες
...Into how many parts is it 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...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 - 608 σελίδες
...(1) and (2) are not 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...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 σελίδες
...proportion of 5 ; 4. Find their scores. GEOMETRY. (Exhibitions and Bursaries.} TIME : THREE HOURS. 1. If from the ends of the side of a triangle, there...of the triangle, but shall contain a greater angle. 2. Assuming the construction of the 47th proposition of the First Book of Euclid ; analyze the proof... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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...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... | |
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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... 
