 | John Playfair - Euclid's Elements - 1855 - 340 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...; the rectangle contained by AB, F is equal to the rect angle contained by CD, E. From the points A, C draw (11. 1.) AG, CH at right angles to AB, CD... | |
 | John Playfair - Geometry - 1855 - 334 pages
...lines be proportionals, the rectangle contained by the extremes it equal to the rectangle contained by the means; And if the rectangle contained by the extremes...means, the four straight lines are proportionals. From the points A, C draw(11. 1.) AG, CH at right angles to AB, CD ; and make AG equal to F, and CH... | |
 | Euclides - 1855 - 270 pages
...rectangle contained by the extremes is equal to the rectangle contained by the means ; and conversely, if the rectangle contained by the extremes be equal...means, the four straight lines are proportionals. First, let the four straight lines AB, СD, E and F bо proportionals, viz., AB to СD, as E to F.... | |
 | John Playfair - Euclid's Elements - 1856 - 346 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...to CD, so E to F ; the rectangle contained by AB, F,is equal to the reel angle contained by CD, E. From the points A, C draw(ll. l.)AG, CH at right angles... | |
 | War office - 1858 - 578 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...means, the four straight lines are proportionals. 3. Solve the following equations (1) JK __ X+l _ 13 x 6 (2) x* + xy = 15 ; xy-y* = 2. 4. The slant... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 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. PROBLEM 2. Fig. 16. On the ground from... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...rectangle contained by the extremes is equal to the rectangle contained by the means: and conversely, if the rectangle contained by the extremes be equal...proportionals. Let the four straight lines AB, CD, E, Fbe proportionals, viz. as AB to CD, so E to F. The rectangle contained by AB, F, shall be equal to... | |
 | John Playfair - Geometry - 1860 - 334 pages
...THEOR. If four straight lines be proportionals, the rectangle contained by the extremes it equaltothe rectangle containedby the means; And if the rectangle...means, the four straight lines are proportionals. From the points A, C draw(ll. l.)AG, CH at right angles to AB, CD ; and make AG equal to F, and CH... | |
 | Euclides - 1860 - 288 pages
...lines be proportionals, the rectangle contained by the extremes is equal to the square on the mean ; and if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines are proportionals. Given that the three straight lines... | |
 | Euclides - 1861 - 464 pages
...rectangle contained by the extremes is equal to the rectangle contained by the means ; and conversely, if the rectangle contained by the extremes be equal...to the rectangle contained by the means, the four st. lines are proportionals. CON. 11, L 3, L 3l, I.' DEM. 7, V. 14, VI. Def. 1, II. A reet, is contained... | |
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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... 
