| Euclides - 1884
...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... | |
| Stewart W. and co - 1884
...line MO, and therefore the 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...of the triangle, but shall contain a greater angle.** Write out the enunciations of any previous propositions employed in this proof. See Euclid, Prop. 21,... | |
| Stewart W. and co - 1884
...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,...angle. Let the two straight lines BD, CD, be drawn from** B,C, the ends of the side BC of the triangle ABC, to the point D within it; BD and DC are less than... | |
| Euclides - 1884
...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...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... | |
| Euclides - 1884
...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
...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
...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
...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
...(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
...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... | |
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