 To find a mean proportional between two given straight lines. Let AB, BC be the two given straight lines ; it is required to find a mean proportional between them. Place AB, BC in a straight line, and upon AC describe the semicircle ADC, and from the...  Euclid's Elements of Geometry - Page 376edited by - 1893 - 504 pagesFull view - About this book
 | Euclides - 1842 - 316 pages
...QEF PROP. XIII. PROB. To find a mean proportional between two given straight lines. Let AB, BC be the two given straight lines: it is required to find a mean proportional between them. Place AB, Bc in a straight line, and upon AC describe the semicircle ADC, and from the point... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...found. PROP. XIII. PROB. To find a mean proportional between two given straight lines. Let AB, BC be the two given straight lines ; it is required to find a mean proportional between them. Place AB, BC in a straight line, and upon AC describe the semicircle ADC, and from the point... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...produced if necessary, between D and this parallel, is the fourth proportional required. Let AB, BC be two given straight lines; it is required to find a mean proportional between them. Place AB, BC in a straight line, and upon AC as diameter describe the semicircle ADC ; from B... | |
 | Euclides - 1845 - 546 pages
...PROPOSITION XIII. PROBLEM. ToJind a mean proportional between two given straight lines. Let AB, BC be the two given straight lines. It is required to find a mean proportional between them. B c Place AB, BC in a straight line, and upon AC describe the semicircle ADC, and from the point... | |
 | Euclid - Geometry - 1845 - 218 pages
...PROPOSITION XIII. PROB. — To find a mean proportional between two given straight lines. Let AB, BC be the two given straight lines; it is required to find a mean proportional between them. Place AB, BC in a straight line, and upon AC describe the semicircle ADC ; and from the • 11.1.... | |
 | Euclides - 1846 - 292 pages
...QEF PROP. XIII. PROB. To find a mean proportional between two given straight tints. Let AB, BC be the two given straight lines : it is required to find a mean proportional between them. Place AB, BC in a straight line, and upon AC describe the semicircle ADC ; •A- BC from the... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...found. PROP. XIII. PROB. Tojind a mean proportional between two given straight lines. Let AB, BC be the two given straight lines ; it is required to find a mean proportional between them. Place AB, BC in a straight line, and upon AC describe the semicircle ADC, and from the point... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...XVI., B. IV.). PROBLEM XIX. To find a mean proportional between two given lines. Let AB, BC be the two given straight lines ; it is required to find a mean proportional, between them. Place AB, BC in a straight line ; upon AC describe the semicircle ADC; and from the point B draw... | |
 | Euclides - Geometry - 1853 - 334 pages
...done. PEOP. XIII. PEOB. To find a mean proportional between two given straight lines. Let A, B be the two given straight lines. It is required to find a mean proportional between them. Take any straight line CD ; and from it cut off (i. 3) CE equal to A, and from ED, EF equal to... | |
 | Euclides - Geometry - 1853 - 176 pages
...XIII.. — PROBLEM. To find a mean proportional between two given straight lines. LET ab, b С be the two given straight lines : it is required to find a mean proportional between them. , Place ab, b С in a straight line, and upon a С describe the semicircle adС, and from the... | |
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