 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...240. To divide a given line AB (Jig. 141) into two parts in Fig. 141. such a manner, that the greater shall be a mean proportional between the whole line and the other part. Solution. At the extremity B of the line AB erect the perpendicular BC equal to half of AB ; from the... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...given lines A and B. B PROBLEM IV. To divide the given line AB into two parts, such that the greater part shall be a mean proportional between the whole line and the other part. At the extremity B of the line AB, erect the perpendicular BC equal to the half of AB ; from the point... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...240. To divide a given line AB (fig. 141) into two parts in such Fig. 141 a manner, that the greater shall be a mean proportional between the whole line and the other part. Solution. At the extremity B of the line AB erect the perpendicular BC equal to half of AB ; from the... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...XXXII. PROBLEM. \ To divide a given straight line into two parts, such that. . the greater part may be a mean proportional between the whole line and the other part. Let AB be the proposed line. Draw the perpendicular BC equal to half AB, and from C as a centre, with... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...to the given lines A and B. PROBLEM IV. To divide a given line into two parts, such that the greater part shall be a mean proportional between the whole line and the other part. Let AB be the given line. At the extremity B of the line AB, erect the perpendicular BC equal to the... | |
 | Charles Davies - Geometry, Analytic - 1836 - 370 pages
...the rectangle. PROPOSITION V. PROBLEM. To divide a straight line into two such parts that the greater part shall be a mean proportional between the whole line and the less part. Let b denote the given line, and a; the greater part : then will b — x express the less... | |
 | Charles Davies - Geometry, Analytic - 1838 - 366 pages
...rectangle. PROPOSITION V. PROBLEM. • To divide a straight line into two such parts that the greater part shall be a mean proportional between the whole line and the less part. Let b denote the given line, and x the greater part : then will b — x express the less... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...240. To divide a given line AB (fig. 141) into two parts in Fig. HI. such a manner, that the greater shall be a mean proportional between the whole line and the other part. , Solution. At the extremity B of the line AB erect the per pendicular BC equal to half of AB ; from... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...given lines A and B. • PROBLEM IV. To divide the given line AB into two parts, such that the greater part shall be a mean proportional between the whole line and the other part. At B the extremity of the line AB, erect the perpendicular BC equal to the half of AB; from the point... | |
 | Nathan Scholfield - 1845 - 894 pages
...lines A and B. PROBLEM IV. To divide a given line into two parts, such that the greater parts/tall be a mean proportional between the whole line and the other part. Let AB be the given line. At the extremity B of the line AB, erect the perpendicular BC equal to the... | |
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To divide a given line into two parts, such that the greater part shall be a mean proportional between the whole line and the other part. Let AB be the given line. 
