 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...page 7). PROBLEM IX. To divide a given line into any number of equal parts. I. SOLUTION. Let AB be the given line, and let it be required to divide it into five equal parts. 1. From the point A draw an indefinite straight line, making any angle you please... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 204 pages
...GEOMETRY. \ ar PROBLEM IX. To divide a given line into any number of equal parts. I. SOLUTION. Let AB be the given line, and let it be required to divide it into five equal parts. 1. From the point A, draw an indefinite straight line AN, making any angle you please... | |
 | Euclides - 1842 - 316 pages
...on this proposition, a given straight line may be divided into any number of equal parts. Let AB be the given line, and let it be required to divide it into any number of equal parts. KUC. B. VI. OF GEOMETRY. on AC set equal spaces A p, p Q, &c., of any convenient length, as many in... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...parallel, (B. I, Th. 7, Cor. 1). PROBLEM VII. To divide a given line into any number of equal parts. Let AB represent the given line, and let it be required to divide it into any number of equal parts, say £ve. From one end of the line A, draw AD, indefinite in both length and position. Take A any convenient... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...then will AI, IF, and FB, be proportional to P, ft and R (P XV., C. 2), GEOMETRY. 2°. Let AH be a given line, and let it be required to divide it into any number of equal parts, say five. From one extremity A, draw the indefinite Hue AGr ; take AI equal to any convenient line, and lay off ZZf, KL,... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...parallel, (B. I, Th. 7, Cor. 1). PROBLEM VII. To divide a given line into any number of equal parts. Let AB represent the given line, and let it be required...draw AD, indefinite in both length and position. Take A any convenient distance in the dividers, as Aa, and set it off on the line AD, thus making the parts... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...PROBLEM VII. To divide a given line into any number of equal parts. Let AB represent the given line, uud let it be required to divide it into any number of equal parts, say £ ve. From one end of the line A, draw AD, indefinite in both length and position. Take any convenient... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...parallel, (B. I, Th. 7, Cor. 1). PROBLEM VII. To divide a given line into any number of equal parts. Let AB represent the given line, and let it be required...draw AD, indefinite in both length and position. Take A any convenient distance in the di10* H viders, as Aa, and set it off on the line AD, thus making... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...points (7 and 2), dray; CI a^d -D.PJ sparallel to -EZ? :. tj1en- will v 2°. Let AH be a given straight line, and let it be required to divide it into any number of equal parts, say five. From one extremity A, draw the indefinite line AG ; take AI equal to any convenient line, and lay off IK, KL,... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...will AT, IF, :u1d FB t be proportional to P, Q, and 7? (P XV., C. 2). 2°. Let AH be a given straight line, and let it be required to divide it into any number of equal parts, say fire. From one extremity A, draw the indefinite ACDEEP Hue AG; take AI equal '.o any convenient line,... | |
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AC, they are, therefore, parallel, (B. I, Th. 7, Cor. 1). PROBLEM VII. To divide a given line into any number of equal parts. Let AB represent the given line, and let it be required to divide it into any number of equal parts, say five. From one end of... 
