 | John Playfair - Mathematics - 1806 - 320 pages
...Therefore, if from the ends of, &c. QED a 20. 1. b 3. Post. c 11. Def. 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 third1. Let A, B, C be the three given... | |
 | John Mason Good - 1813 - 714 pages
...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.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 Mason Good - 1819 - 800 pages
...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... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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... | |
 | Peter Nicholson - Architecture - 1823 - 210 pages
...nearly equal in length to the arc ABC. PROBLEM 22. 196. To describe a triangle, of which the three sides shall be equal to three given straight lines, provided that any two of them are greater than the third. Let D, E, F, (fig. 3, pi. Ill,) be the three given straight... | |
 | George Lees - 1826 - 276 pages
...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 given straight lines ; any two of which are greater than the third.a aCor.Ax.12. Let AB represent the base, and C, D, the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...greater than the angle BAC. Therefore, if from the ends of, &c. QKD • PROP. XXII. PROB. See N. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these * 20. 1. must be greater than the third*. Let A, B, C, be the three given... | |
 | John Playfair - Geometry - 1829 - 210 pages
...AC together, or BA and AC are together greater than BC. ED. PROPOSITION XXII. PROBLEM. To construct a triangle of which the sides shall be equal to three given straight lines; but any two of these lines must be greater than the third (20. 1.). Let A, B, C be the three given... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...universally, if from the ends of the side of a triangle, &c. Which was to be demonstrated. PROBLEM — To describe a triangle of which the sides shall be equal to three given straight lines respectively ; provided always, thai any two of these be together greater than the third. Let A, B,... | |
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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. 
