 | Robert Simson - 1762 - 488 σελίδες
...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,... | |
 | Robert Simson - 1775 - 534 σελίδες
...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,... | |
 | Euclid - 1781 - 552 σελίδες
...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.... | |
 | Robert Simson - 1781 - 534 σελίδες
...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... | |
 | Euclid, James Williamson - 1781 - 324 σελίδες
...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... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...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,... | |
 | John Playfair, Euclid - 1804 - 468 σελίδες
...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,... | |
 | Robert Simson - 1804 - 528 σελίδες
...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,... | |
 | Robert Simson - 1806 - 548 σελίδες
...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,... | |
 | John Playfair - 1806 - 320 σελίδες
...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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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... 
