 | Euclid - Geometry - 1845 - 218 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,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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,... | |
 | Euclides - 1846 - 292 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. First, let the three straight lines... | |
 | Euclides - 1848 - 52 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 straight lines are proportionals. PROP. XVII. THEOREM. If three straight lines be proportionals, the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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,... | |
 | Euclides - Geometry - 1853 - 176 pages
...lines be proportionals, tlie rectangle contained by the extreme» 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 - Geometry - 1855 - 334 pages
...PROP. XVI. THEOR. If four straight lines be proportionals, the rectangle contained by the extremes it equal to the rectangle contained by the means; And...to the rectangle contained by the means, the four straight lines are proportionals. From the points A, C draw(11. 1.) AG, CH at right angles to AB, CD... | |
 | 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...to the rectangle contained by the means, the four straight lines are proportionals. First, let the four straight lines AB, СD, E and F bо proportionals,... | |
 | War office - 1858 - 578 pages
...the right angle. VOLUNTARY PORTION. 1. Describe a circle about a given triangle. 2. If four straight lines be proportionals, the rectangle contained by...to 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* +... | |
 | 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... | |
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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... 
