| University of Glasgow - 1883
...two angles of a triangle be equal, the sides which subtend the equal angles shall also be equal. 2. **If from the ends of a side of a triangle there be...of the triangle but shall contain a greater angle.** 3. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained... | |
| Joseph Hughes - 1883
...triangle is subtended by the greater side, or has the greater side opposite to r. Prop. 19, Bk. I. 3. **If from the ends of a side of a triangle there be...within the triangle ; these shall be less than the** oiher two sides of the triangle, but shall contain a greater angje. Prop. 21, Bk. I. Needlework. FEMALES.... | |
| 1883
...3- If from the ends of a side of the triangle FGH there be drawn t wo straight lines to the point К **within the triangle, these shall be less than the...of the triangle, but shall contain a greater angle.** Prop. 21, Bk. I. Needlework. FEMALES. One hour allowed for this Exerçât. THIRD YEAR. Pupil Teachers... | |
| Euclides - 1883 - 96 pagina’s
...the middle point of the base. This line is called a median. PROP. 21. THEOR. 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 two sides of the triangle, but shall contain a greater angle. Given... | |
| Euclides - 1884
...EUCLID SHEETS. PROPOSITIONS 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...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... | |
| Euclides - 1884
...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 drawn two straight lines...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
...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...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,...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
...that BC, CA are 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...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... | |
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