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" 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 41
by John Harris - 1884 - 144 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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,...
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The First Six Books: Together with the Eleventh and Twelfth

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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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 *.•...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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 ~ ' "...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

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 ;...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

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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