 | John Mason Good - 1813 - 714 pages
...be pro. portionals, I he rectangle contained by the extremes is equal to the rectangle contained by the means: and if the rectangle contained by the extremes...means, the four straight lines are proportionals. Prop. XVII. Theor. If three straight lines be proportionals, the rectangle contained by the extremes... | |
 | Euclides - 1814 - 560 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...four straight lines are proportionals. Let the four straight.liilies AB, CD, E, F, be proportionals, viz. as AB to CD, so E to F; the rectangle contained... | |
 | Euclides - 1816 - 588 pages
...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. Let the three straight lines A, B,... | |
 | John Playfair - 1819 - 354 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 rectangle contained by means, the four straight lines are proportionals. Let the four straight lines, AB, CD, E, F be proportionals,... | |
 | John Mason Good - 1819 - 800 pages
...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. Prep. XVIII. Prob. Upon a given straight... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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. Let the three straight lines A, B,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 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...AB, CD, E, F be proportionals, viz. as AB to CD, so is E to F; the rectangle contained by AB, F is equal to the rectangle contained by CD, E. From the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 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 lo the rectangle contained by the means, the four straight lines are proportionals. Let Ihf fnur straiuht... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...by the means ; And if the reetangle eontained by the extremes be equal to the reetangle eontained by means, the four straight lines are proportionals....be proportionals, viz. as AB to CD, so E to F; the reetangle eontained by AB, F is equal to the reetangle eontained by CD, E. From the points A, C draw... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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. Let the three straight lines A, B,... | |
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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... 
