To find a fourth proportional to three given straight lines. Let A, B, C be the three given straight lines ; it is required to find a fourth proportional to A, B, C. Take two straight lines DE, DF, containing any angle Book VI. EDF ; and upon these make... Some Propositions in Geometry: In Five Parts - Page 41by John Harris - 1884 - 144 pagesFull view - About this book
| Robert Simson - Trigonometry - 1762 - 488 pages
...fourth proportional to three given flraight' •*• lines. Let A, B, C be the three given ftraight lines; it is required to; find a fourth proportional to A, B, C. Take Take two ftraight lines DE, DF containing any angle EDF; and Book VI. upon thefe make DG equal to A,... | |
| Euclid - 1781 - 552 pages
...fourth proportional to three given ftraight lines. Let A, B, C be the three given ftraight linea ; it is required to find a fourth proportional to A, B, C. Take Take two ftraight lines DE, DF, containing any angle EDF ; Book Vt and upon thefe make DG equal to... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...fourth proportional to three given •*• ftraight lines. Let A, B, C be the three given ftraight lines ; it is required to find a fourth proportional to A, B, C. Take two ftraight lines DE, DF, containing any angle EDF ; and upon thefe make I)G equal to A, GE equal... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...O find a fourth proportional to three given ftraight lines. Let A, B, C be the three given flraight lines ; it is required to find a fourth proportional to A, B, C. Take two flraight lines DE, DF, containing any angle EDF; and upon thefe make DG equal to A, GE equal to... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...given straight lines AB, AC a third proportional CE is found. Which was to be done. PROP. XII. PROB. TO find a fourth proportional to three given straight...required to find a fourth proportional to A, B, C. Take two straight lines DE, DF, containing any angle EDF ; Book VI. and upon these make UG equal D *.•... | |
| John Playfair - Mathematics - 1806 - 320 pages
...straight lines AB, AC a third proportional CE is found. Which was to be done. a 31. b2.6. PROP. XII. PROB. TO find a fourth proportional to three given straight...required to find a fourth proportional to A, B, C. Take two straight lines DE, DF, containing any angle EDF, and upon these make DG equal to A, GE equal to... | |
| Euclid - Geometry - 1810 - 554 pages
...was to be done. them be PROP. XII. PROB. TO find a fourth proportional to three given straight Tmes. Let A, B, C be the three given straight lines ; it...required to find a fourth proportional to A, B, C. Take two straight lines DE,, DF, containing any angle EDF ; Book VI. and upon these make DG equal ~ ' "... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...straight lines AB, AC, a third proportional CE is found. Which was to be done. PROP. XII. PROB. Toj1nd a fourth proportional to three given straight lines....required to find a fourth proportional to A, B, C. Take two straight lines DE, DF, containing any t 3. 1. angle EDF; and upon thesef make DG equal to*A, GE... | |
| John Playfair - Geometry - 1829 - 210 pages
...the two g.iven lines AB, AC a third proportional CE is found. Which was to be done. PROPOSITION XII. PROBLEM. To find a fourth proportional to three given...required to find a fourth proportional to A, B, C. Take two straight lines DE, DF, containing any angle EDF, and on these make DG = A, GE = B, and DH = C ;... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...given straight lines AB, AC a third proportional, CE is found. Which was to be done. PROP. XII. PROB. To find a fourth proportional to three given straight...required to find a fourth proportional to A, B, C. Take two straight lines DE, DF, containing any angle EDF ; and upon these make DG equal to A, GE equal to... | |
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