 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...  Text book of geometry - Page 176by Thomas Steadman Aldis - 1872Full view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...given straight lines A, B, C a fourth proportional HF is found. Which was to be done. 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...A, B, C a fourth proportional HF is found. Which was to be done. PROP. XII. PROB. a 11. 1. TO fincl 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...straight lines, A, B, C, a fourth proportional HF is found. Which was to be done. - . 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...lines A, B, C, . a fourth proportional HF is found. Which was to be done. PROP. XIII. PROB. To Jlnd a mean proportional between two given straight lines. Let AB, BC be the two given straight lines : it is v required to find a mean proportional between them. Place AB,... | |
 | John Playfair - Geometry - 1829 - 210 pages
...lines A, B, C a fourth proportional HF is found. Which Avas to be done. 1 PROPOSITION XIII. PROBLEM. 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... | |
 | Euclid - 1835 - 540 pages
...A, B, C, a fourth proportional HF is found. Which was to be done. 1 31. 1. b2. 6. 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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...straight lines A, B, C, a fourth proportional HF is found. Which was to be done. 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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...straight lines, A, B, C, the fourth proportional HF is found : which was to be done, f PROP. XIII. PROB. To find a mean proportional between two given straight...two given straight lines ; it is required to find the mean proportional between them. Place AB, BC in a straight line, and upon AC as diameter * It is... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...Wherefore to the three given straight lines, A, B, C, a fourth proportional HF is 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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...three given straight lines, A, B, C, a fourth proportional HF is found. PROPOSITION XIII. PROBLEM. 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,... | |
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