 | John Playfair - 1806 - 320 σελίδες
...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 a straight line DE, terminated at the point D, but unlimited towards E,... | |
 | Robert Simson - 1806 - 546 σελίδες
...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,... | |
 | John Mason Good - 1813 - 714 σελίδες
...less than the other two sides of the triangle, but (hall contain a greater angle. Prop. XXII. Prob. To make a triangle of •which the sides shall be equal to three given 4trai;ht lines, but any two whatever of these must be greater than the third. Prop. XXII 1. Pr<>b.... | |
 | Euclides - 1816 - 588 σελίδες
...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,... | |
 | John Mason Good - 1819 - 800 σελίδες
...le»! than the other two sides of the triangle, but ih.il] contain a gre.iter angle. Prop. XXII. Prob. 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. Hicp X.X111. i'rob. At a given point... | |
 | John Playfair - 1819 - 350 σελίδες
...greater than the angle BAC. Therefore, if from the ends of, &c. Q, ED PROP. XXII. PROB. To construct a triangle of which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (20. 1.). Let A, B", C be the... | |
 | John Playfair - 1819 - 354 σελίδες
...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,... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...the angle BDC greater than the angle BAC. Therefore, if from the ends of, &c. QED PROP. XXII PROB. 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 (20. 1.)* Let A, B, C be the three given... | |
 | George Lees - 1826 - 276 σελίδες
...distance between two points is a straight line. OF GEOMETRY. Book I. PROPOSITION I. PROBLEM. To construct a triangle, of which the sides shall be equal to three...straight lines ; any two of which are greater than the third.a aCor.Ax.12. Let AB represent the base, and C, D, the two sides of the triangle which it is... | |
 | Robert Simson - 1827 - 546 σελίδες
...third, viz. A and B greater than G; 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 terminated at the point D, but unli* s. 1. mited towards... | |
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... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. 
