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" If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means; And if the rectangle contained by the extremes be equal to the rectangle contained by the means, the four straight lines... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 133
by John Playfair - 1846 - 317 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...lines be proportionals, the rectangle ^ contained by the extremes is equal to the fquare of' the mean: and if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraigho lines are proportionals. Let the three ftraight lines A, B,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...lines be proportionals, the rectangle contained by the extremes is equal to the fquare of fhe mean : And if the rectangle contained by the extremes be equal to the fquare of the mean, the three flraight lines are proportionals. Let the three ftraight lines A, B,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 pages
...lines he proportionals, the reflangle contained by the extremes is equal to the re&angle contained by the means : And if the rectangle contained by the...to the rectangle contained by the means, the four ftrargbt lines are proportionals. Let the four ftraight lines, AB, CD, E, F be proportionals, viz....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means. and if the rectangle contained by the extremes be equal to the reclangle contained by the means, the four ftraight lines are proportionals. • Let the four ftraight...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...proportionals ; the rectangle contained by the extremes is equal to the fquare of the mean proportional:. and if the rectangle contained by the extremes be equal to the fquare of the mean term, the three ftraight lines will be proportionals. Let the three ftraight lines...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...lines be proportionals, the reftangle contained by the extremes is equal to the fquare of the mean : And if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraight lines are proportionals. Let the three ftraight lines A, B,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 470 pages
...lines be proportionals, the reflangle contained by the extremes is equal to the fquarc of the mean : And if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraight lines are proportionals. ' Let the three ftraight lines A, B,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...lines be proportionals, the re&angle contained by the extremes is equal to the fquare of the mean : and if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraight lines arc proportionals. Let the three ftraight lines A, B,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means : and if the rectangle contained by the...AB, F is equal to the rectangle contained by CD, E. > a 11. 1. From the points A, C draw AG, CH at right angles to AB, CD ; and make AG equal to F,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...lines be proportional, the rectangle contained by the extremes is equal to the rectangle contained by the means ; and if the rectangle contained by the...contained by the means, the four straight lines are proportional. Let the four straight lines AB, CD, E, F be proportional, AB to CD as E to F ; the rectangle...
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