 | Euclides - 1853 - 176 pàgines
...third, viz. a and b greater than С ', a and С greater than b ; and b and С than a. It is required to make a triangle of which the sides shall be equal to a, b, С, each to each. Take a straight line de terminated at the point d, but unlimited towards e,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...third (20. i.). BOOK I. PROP. XXII., XXUI. and C greater than B ; and B and C than A. It is required to make a triangle, of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,... | |
 | Euclides - 1853 - 334 pàgines
...greater than c, c and A together greater than B, and B and c together greater than A. It is required to make a triangle of which the Sides shall be equal to A, B, c respectively. Take a straight line DE terminated at D, but produced indefinitely towards E... | |
 | Euclides - 1853 - 146 pàgines
...the third; viz. A and B greater than C ; A and C greater than B; and B and C than A. It is required to make a triangle, of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,... | |
 | William Somerville Orr - 1854 - 534 pàgines
...is В D С greater than ВАС. Therefore, if from tlie ends, &e. QED PROPOSITION XXII.— PKOBLEII. To make a triangle of which the sides shall be equal to three given straight lines (A, B, C), * Pr. 20. each to each, but any two of these must be greater than the third.* Take a straight... | |
 | Popular educator - 1852 - 1272 pàgines
...viz., A and в greater than с ; A and P greater than в ; and в and с greater than A. It ia required to make a triangle of which the sides shall be equal to А, в, and o, each to each. Fig. У1. Take a straight line D в terminated at the point D, but unlimited... | |
 | John Playfair - 1855 - 334 pàgines
...greater than the angle Again, because the exterior angle of a •** ^ BAC. PROP. XXII. PROB. To construct a triangle of which the sides shall be equal to three given straight linr.i; but any two whatever of these lines must be greater than the third (20. 1.). Let A, B, C be... | |
 | Euclides - 1855 - 270 pàgines
...third; viz., A and B greater than C; A and C' than B ; and, B and С greater than A. It is required to make a triangle of -which the sides shall be equal to A, B, С, each to each. Take a straight line DE terminated at the point D, but unlimited towards E.... | |
 | Cambridge univ, exam. papers - 1856 - 252 pàgines
...divides it into two equal parts. 2. The greater side of every triangle is opposite the greater angle. 3. 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. Shew that the two circles made use of... | |
 | 1857 - 400 pàgines
...determine the conditions of equality of two triangles, whether in area only, or in every respect. !i. 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. Show, by a figure, that the construction... | |
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... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. 
