 | Euclides, James Hamblin Smith - 1872 - 376 sider
...within the triangle, is less than the perimeter of the triangle, and greater than half the perimeter. PROPOSITION XXII. PROBLEM. To make a triangle, of...of which are greater than the third. Let A, B, C be the three given lines, any two of which are greater than the third. // is reqd. to make a A having... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...than the ^ AC B. PHOPOSITIOBr XXII. To make a triangle, the sides of which shall be equal respectively to three given straight lines, any two of which are greater than the third. For the construction in this proposition we must be able, — 1. To describe a circle with a given... | |
 | Lewis Sergeant - 1873 - 182 sider
...either of the interior opposite angles. Prove this. (See Geom., Prop. 14.) 5. Show how to construct a triangle of which the sides shall be equal to three given straight lines. (See Geom., Prop. 20.) Why must any two be greater than the third ? Show by figure what will happen... | |
 | Henry Major - 1873 - 588 sider
...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,... | |
 | Braithwaite Arnett - 1874 - 130 sider
...(BooK i.). l|hr. 1. Any two sides of a triangle are together greater than the third side. 2. Construct 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. 3. Parallelograms on the same base, and... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...then is the angle BOC greater than A. (Ax. 9. ) PROP. XVII.— PROBLEM. (Euc. I. 22, 23.) To construct a triangle, of which the sides shall be equal to three given straight lines; but any two of these must be greater (I. 15) than the third. Let A, B, C be the given straight lines,... | |
 | Edward Atkins - 1874 - 426 sider
...greater than the ans-le >/BAC. BAC ' ° Therefore, if from the ends, <fec. QED V Proposition 22. — Problem. To make a triangle of which the sides shall be equal to t/vree given straight lines, but any two whatever of these lines must be greater than the third (I.... | |
 | Euclides - 1874 - 342 sider
...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 each. Construction. Take a straight line DE terminated at the point D, but unlimited... | |
 | Euclides - 1874 - 120 sider
...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 each. °rf C— ' f. Take a straight line DE terminated at the point ^' D, but unlimited... | |
 | Euclides, James Hamblin Smith - 1876 - 376 sider
...within the triangle, is less than the perimeter of the triangle, and greater than half the perimeter. PROPOSITION XXII. PROBLEM. To make a triangle, of...to three given straight lines, any two of which are together greater than the. third. Let A, B, 0 be the three -given lines, any two of which are together... | |
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... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. 
