 | Education, Higher - 1884 - 538 pages
...lines be proportiouals, 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. 16. If two straight lines which meet... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...— If four straight lines be proportional, the redangle of the extremes is equal to the rectangle of the means ; and if the rectangle contained by the...equal to the rectangle contained by the means, the Jour straight lines are proportional. . Let A, B, C, D be four straight lines, so that A : B : : C... | |
 | Education, Higher - 1882 - 498 pages
...angle. 11. If four straight lines be proportionals, the rectangle contained by the extremes equals the rectangle contained by the means ; and if the rectangle contained by the extremes equal that contained by the means, the four straight lines are proportionals. 12. Through a given point... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...triangle A DE. [V. 9. Wherefore, equal triangles &c. QED PROPOSITION 16. THEOREM. If four straight lines be proportionals, the rectangle contained by...be equal to the rectangle contained by the means, tftefuur straight lines are proportionals. Let the four straight lines AB, CD, E, F, be proportionals,... | |
 | Euclides - 1884 - 434 pages
...the rectangle contained by the extremes is equal to the rectangle contained by the means. Conversely: If the rectangle contained by the extremes be equal...to the rectangle contained by the means, the four straight lines are proportional. BG •H c(1) Let AB:CD = EF: GH: it is required to prove AB . GH =... | |
 | University of Cambridge - 1884 - 624 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. _ J TUESDAY, June 3, 1884. 9— Щ.... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...rectangle contained by the extremes is equal to the rectangle contained by the means. (2) Conversely : — If the rectangle contained by the extremes be equal...to the rectangle contained by the means, the four straight lines are proportionals. (1) Let A, B, C, D be four st. lines, such that A : B :: C : D, then... | |
 | Edinburgh Mathematical Society - Electronic journals - 1899 - 340 pages
...rectangle contained by the extremes is equal to the rectangle contained by the means. Conversely : If the rectangle contained by the extremes be equal...to the rectangle contained by the means, the four straight lines are proportional. (1) Let the four straight t lines AB, AC, AD, AE be proportional,... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...drawn from the vertex to the point of section shall bisect the vertical angle. 11. If four straight lines be proportionals, the rectangle contained by...to the rectangle contained by the means, the four straight lines are proportionals. x 12. The diameter BCA of the circle APQB whose centre is C, a produced... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...lines be proportional, 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 -will be proportional. Let the three straight lines A,... | |
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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... 
