 | Peter Nicholson - 1828 - 276 pàgines
...CB; then ABC is the equilateral triangle required. PROBLEM IX. Upon a given straight line to describe a triangle, of which the sides shall be equal to three given straight lines, provided that any one of the three given lines be less than the sum of the other two. Fig. 9. Let the... | |
 | John Playfair - 1829 - 210 pàgines
...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. Take a straight line DE unlimited toward D and E, and let F be any point in... | |
 | Edward Shaw - 1832 - 244 pàgines
...then ABC is the equilateral triangle required. PROBLEM IX. • Upon a given straight line to describe a triangle, of which the sides shall be equal to three given straight lines, provided that any one of the three given lines be less than the sum of the other two. Fig. 9. Let the... | |
 | 1833 - 412 pàgines
...dreams). MATHEMATICS. 1. From a given point to draw a straight line equal to a given straight line. 2. To make a triangle of which the sides shall be equal to three given straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side... | |
 | Thomas Perronet Thompson - 1833 - 168 pàgines
...if they are not, it has been •I. 20. Cor. shown* that they cannot form a triangle). It is required to make a triangle, of which the sides shall be equal to A, B, C, respectively. 1 1. 3. In a straight line DE, maket FG equal to any one of the straight lines... | |
 | Euclid - 1835 - 540 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,... | |
 | Andrew Bell - 1837 - 290 pàgines
...angle BDC is greater than the angle CEB ; still greater, then, is the angle BDC than the angle BAC. PROPOSITION XXII. PROBLEM. To make a triangle of which...sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (1. 20). Let A, B, C, be the three... | |
 | Euclid, James Thomson - 1837 - 410 pàgines
...A, B, C be three given straight lines, of which any two are greater than the third : it is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take an unlimited straight line DE, and let F be a point in it, and make (I.... | |
 | Euclides - 1838 - 264 pàgines
...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 the sides shall be equal to A, B, C, each to each. Take d straight line DE terminated at the point D, but unlimited towards E,... | |
 | Euclides - 1841 - 378 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 I), but unlimited towards E,... | |
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... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. 
