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" Tojind 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 EDF: and upon these make DG equal... "
Elementary geometrical drawing - Page 18
by Samuel H. Winter - 1859 - 32 pages
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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 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...
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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 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...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...from the vertex. Cor. 2. Hence parallels are cut proportionally by diverging lines. PROP. III. PROB. To find a fourth proportional to three given straight lines. Let A, B, and C be three straight lines, to which it is required to find a fourth proportional. Draw the diverging...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...given straight lines AB, AC a third proportional, CE is found, was to be done. PROP. XII. PROB. To jind a fourth proportional to three given straight lines. Let A, B, C be the three given straight lines ; it is required to find ,i fourth proportional to A, B, C. Take two straight...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...from the vertex. \ Cor. 2. Hence parallels are cut proportionally by diverging lines. PROP. III. PROB. To find a fourth proportional to three given straight lines. Let A, 8, and C be three straight lines, to which it is required to find a fourth proportional. Draw the diverging...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...given straight lines AB, AC athird proportional, CE is found. Whieh was to be done. 4 PROP. XII. PROB. 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 afourth proportional to A, B, C. urn? J Take two...
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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. 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...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...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 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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 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...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...given straight lines AB, AC, a third proportional CE is found. Which was to be done. PROP. XII. PROS. 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...
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