 | John Keill - 1723 - 444 σελίδες
...PROPOSITION XVII. THEOREM. If three Right Linet be proportional, the Re&tingle contained under the Extremes, is equal to the Square of the Mean ; and...the Extremes, be equal to the Square of the Mean, then the three Right Lines are proportional, - • T ET there be three Right Lines A, B, C, propor-.... | |
 | Euclid, John Keill - 1733 - 444 σελίδες
...demonftrated. PROPOSITION XVII. THEOREM. If three Right Lines be proportional, the RfRangle contained under the Extremes, is equal to the Square of the Mean ; and if the Rett angle under the Extremes be equal to the Square of the Mean, then the three Right Lines are proportional... | |
 | John Keill - 1782 - 476 σελίδες
...PROPOSITION XVII. THEOREM. If three Right Lines be proportional, the Reflatgle contained1 under the Extremes is equal to the Square of the Mean ; and if the Rettangle under the Extremes be equal to the Square of the Mean, then the three Right Lines are proportional.... | |
 | Robert Simson - 1806 - 546 σελίδες
...&c. QED PROP. XVII. THEOR. IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean : and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.... | |
 | John Playfair - 1806 - 320 σελίδες
...lines, &c. PROP. XVII. THEOR. IF three straight lines be proportional, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportional.... | |
 | Charles Hutton - 1811 - 406 σελίδες
...rectangle of the two extremes is equal to the the square of the mean ; and, conversely, if the rectangle of the extremes be equal to the square of the mean, the three lines are proportionals. Corol. 2. Since it appears, by the rules of proportion in Arithmetic and Algebra,... | |
 | Charles Hutton - 1812 - 620 σελίδες
...rectangle of the two extremes is equal to the the square of the mean ; and, conversely, if the rectangle of the extremes be equal to the square of the mean, the three lines are proportionals. Carol. 2. Since it appears, by the rules of proportion in Arithmetic and Algebra,... | |
 | Euclides - 1816 - 588 σελίδες
...&c. QED .PROP. XVII. THEOR. IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.... | |
 | John Playfair - 1819 - 350 σελίδες
...ED S i PROP. XVII. THEOR. If three straight hues be proportionals, the. rectangle contained by the extremes is equal to the square of the mean : And if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.... | |
 | John Mason Good - 1819 - 800 σελίδες
...proportionals. Prop. XVII. Theor. If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean : and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.... | |
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IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. 
