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
| Isaac Sharpless - Geometry - 1879 - 282 pages
...Proposition 13. Problem.—To find a mean proportional between two given straight lines. 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; describe upon AC the semicircle ADC, and from B draw BD at right... | |
| Elias Loomis - Conic sections - 1880 - 452 pages
...Pr. 16). GB f • 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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...PROPOSITION 13. PROBLEM. To find a mean proportional between two given straight lines. Let AB, BO be the **two given straight lines: it is required to find a mean proportional between** them. ,5(7in a straight line, and on AC describe the semicircle ADC; from the point B draw BD at right... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...XIII. PROBLEM. To find a mean proportional between (too given straight lines. Let AB, and B Che the **two given straight lines. It is required to find a mean proportional** hetween them. Place AB and BC in a straight line adjacent to each other; and upon AC describe the semi-circle... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...PROPOSITION 13. 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, BO in a straight line, and on AG describe the semicircle ADC; from the point B draw... | |
| Euclides - 1884 - 434 pages
...13. PROBLEM. To find a mean proportional between two given straight lines. A r. c Let AB, BC be the **two given straight lines : it is required to find a mean proportional between AB,** BC. Place AB, BC in the same straight line, and on AC describe the semicircle ADC ; I. 10 from B draw... | |
| Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...BC, AD. QEF I'ROB. 5. 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 AB and** BC. and from B draw BD at right angles to AC, and meeting the circumference at D : then shall BD be... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...ratio to one another. PROPOSITION 11. To find a third proportional to two given finite straight lines. **Let AB, CD be two given straight lines : it is required to find a** third proportional to AB, CD. CONSTRUCTION. Draw from any point P a pair of straight lines PE, PF making... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...PROPOSITION 13. PROBLEM. To find a mean proportional between two given straight lines. ABC Let AB, BC be the **two given straight lines. It is required to find a mean proportional between AB and** BC. Place AB, BC in a straight line, and on AC describe the semicircle ADC. From B draw BD at rt. angles... | |
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