 | George Lees - 1826 - 276 pages
...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 two sides of the triangle which it is... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...CD + DB, 3. that much more is BA + AC > CD + DB, 4. that Z BDC > Z BAG. PROPOSITION XXII. Problem. To make a triangle, the sides of which shall be equal to three given straight lines, but any two whatever of these must be greater than the third. Steps of the Demonstration. 1. Prove... | |
 | English literature - 1840 - 528 pages
...MONDAY. Jan. 6. 1840 9 to 11J. [A.JB The Differential Calculus is not to be employed."] 1. CONSTRUCT a triangle the sides of which shall be equal to three given right lines, any two of which are together greater than the third. If the sides of the triangle be... | |
 | Euclides - Geometry - 1853 - 334 pages
...than the angle BAC. Which was to be proved. PEOP. XXII. PEOB. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater (i. 20) than the third. Let A, B, c be the three given straight lines, of which any... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...greater than half the perimeter. PROPOSITION XXII. PROBLEM. To make a triangle, of which the sides shall be equal to three given straight lines, any two 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... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...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... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...draw a straight line through a given point parallel PROB. 7. To construct a triangle having its sides equal to three given straight lines, any two of which are greater than the third. PROB. 8. To construct a triangle, having given two sides and the angle between them. PROB. 9. To construct... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...greater than half the perimeter. PROPOSITION XXII. PROBLEM. To make a triangle, of which the sides shall be equal 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... | |
 | Euclides - 1877 - 58 pages
...AEB is greater than the angle DAC. PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are greater than the third. Let A, B, C be three given straight lines, any two of them being greater than the third ; it is required... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...proposition. Is this a problem or theorem ? Why ? 22. Show how to make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. Explain why it is necessary that any two of the given straight lines... | |
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To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. 
