 | University of Glasgow - 1883 - 438 pages
...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 drawn two straight lines...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 - Education - 1883 - 578 pages
...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 drawn two straight lines...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.... | |
 | Education - 1883 - 658 pages
...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 - 176 pages
...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 - 214 pages
...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 - 146 pages
...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 - 272 pages
...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 - 94 pages
...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 - 182 pages
...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 pages
...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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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 the two straight lines BD. 
