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" 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 376
edited by - 1893 - 504 pages
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

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...
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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

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...
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Euclid's Elements of Geometry, Books 1-6; Book 11

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...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

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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