 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...shortest line that can be drawn from A to BC, say AD, is perpendicular to BC. PROP. XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. Let A, B, and C be... | |
 | 1880 - 160 pages
...given point without it. 2. The greater angle of every triangle is subtended by the greater side. 3. To make a triangle of which the sides shall be equal to three given straight lines, but any two of these must be greator than the third. 4. If a straight line... | |
 | Education Ministry of - 1880 - 238 pages
...sides of the one shall be equal to the angle contained by the two sides, equal to them of the other. 3. To make a triangle of which the sides shall be equal to three given straight lines, but any two of which are together greater than the third. What is the reason... | |
 | T S. Taylor - 1880 - 152 pages
...(Euclid I, 22). Repeat. — The definitions of a circle and a triangle. And Axiom i. General Enunciation. To make a triangle, of which the sides shall be equal to three given lines. (Of the three given lines, any two must always be greater than the third.) Particular... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...greater than the third; viz., A and B greater than C; A and C greater than B ; and, B and C greater than A. It is required to make a triangle of which...terminated at the point D. but unlimited towards E. Make (I. 3) DF equal to A, FG equal to B, and GH equal to C. From the centre F, at the distance FD,... | |
 | Marianne Nops - 1882 - 278 pages
...BDC is greater than £_ BAC. Wherefore if from the ends, &c. — QED PROPOSITION XXII., PROBLEM S. To make a triangle, of which the sides shall be equal to three given straight lines, any two of which are greater than the third. Let A, B, C be the three straight... | |
 | Education Ministry of - 1882 - 292 pages
...sides of the one shall be equal to the angle contained by the two sides, equal to them of the other. 3. To make a triangle of which the sides shall be equal to three given straight lines, but any two of which are together greater than the third. What is the reason... | |
 | Education - 1882 - 676 pages
...other angles shall be equal each to each — viz., those to which the equal sides are opposite. 2. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third. ANSWERS.—... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...greater than the third; namely, A and B greater than C ; A and C greater than B ; and B and C greater than A : it is required to make a triangle of which the sides shall be equal to A, B, C, each to eact Take a straight line DE terminated at the point D, but unlimited towards E, and make DF equal... | |
 | Euclides - 1883 - 176 pages
...smaller area and has a reflex angle, that is, an angle greater than two right angles. PROP. 22. PROB. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. Given three lines... | |
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Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz. 
