 | 1884 - 538 pàgines
...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 - 1882 - 286 pàgines
...— 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... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pàgines
...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, tftefuur straight lines are proportionals. Let the four straight lines AB, CD, E, F, be proportionals,... | |
 | Mathematical association - 1883 - 86 pàgines
...the. rectangle contained by the means; and, conversely, if the rectangle contained by the extremes is equal to the rectangle contained by the means the four straight lines are proportional. COR. If three straight lines are proportional the rectangle contained by the extremes... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pàgines
...the quadrilateral AEBC. And Conversely, If the rectangle contained by the extremes be equal to tbe rectangle contained by the means, the four straight lines are proportionals. Let rect. AB, GJT=rect. CD, EF. Then mwt AB be to CD as EF is to GH. For, the same construction being made,... | |
 | Euclides - 1884 - 434 pàgines
...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...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 = CD . EF. From A draw... | |
 | University of Cambridge - 1884 - 624 pàgines
...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.... | |
 | Association for the Improvement of Geometrical Teaching - 1888 - 208 pàgines
...the rectangle contained by the means ; and, conversely, if the rectangle contained by the extremes is equal to the rectangle contained by the means the four straight lines are proportional. Let OA, OB, OC, OD be four straight lines, such that OA : OB : : OC : OD : then shall... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pàgines
...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...means, the four straight lines are proportionals. (1) Let A, B, C, D be four st. lines, such that A : B :: C : D, then rect. A, D = rect. B, C. G rL-.... | |
 | Euclid - 1892 - 460 pàgines
...to the rectangle contained by the means: Conversely, if the rectangle contained by the extremes is equal to the rectangle contained by the means, the four straight lines are proportional. Let the st. lines AB, CD, EF, GH be proportional, so that AB : CD :: EF : GH. Then shall... | |
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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... 
