The Civil engineer and architect's journal, scientific and railway gazette . nt by mainiain a Con. duce Genneiea Velocity. Genuet^. staot Height. Height. Ft. In. Ft. In. ? 1 30 0 0 30 0 0 • • 2 47 7 6 30 3 9 1-58475 1-34203 3 02 4 6 30 7 6 2-07JlG 1-97233 4 75 8 0 31 3 0 2-52222 2-42133 5 87 8 0 31 10 6 2-92222 2-75032 e 99 1 0 32 6 0 3-:tU277 3-04897 7 109 10 0 33 1 6 3-60111 3-31572 8 120 0 0 33 9 0 4-00000 355d55 9 12J 9 0 34 4 6 4-32500 3 77454 10 139 2 0 35 0 0 4-63888 397618 11 1J8 5 0 35 7 6 4-94722 4-66081 12 157 3 0 36 3 0 5-23333 4-33793 It is found that the several increments of eit
The Civil engineer and architect's journal, scientific and railway gazette . nt by mainiain a Con. duce Genneiea Velocity. Genuet^. staot Height. Height. Ft. In. Ft. In. ? 1 30 0 0 30 0 0 • • 2 47 7 6 30 3 9 1-58475 1-34203 3 02 4 6 30 7 6 2-07JlG 1-97233 4 75 8 0 31 3 0 2-52222 2-42133 5 87 8 0 31 10 6 2-92222 2-75032 e 99 1 0 32 6 0 3-:tU277 3-04897 7 109 10 0 33 1 6 3-60111 3-31572 8 120 0 0 33 9 0 4-00000 355d55 9 12J 9 0 34 4 6 4-32500 3 77454 10 139 2 0 35 0 0 4-63888 397618 11 1J8 5 0 35 7 6 4-94722 4-66081 12 157 3 0 36 3 0 5-23333 4-33793 It is found that the several increments of either height or velo-city are as the ordinates of a parabola whose axis is divided intothe same number of parts as there are required velocities. Hencean elegant method of finding the intermediate heights or velocitieswhen the two extremes are given. Suppose, for example, w-erequire to find the several heights indicated in our first tlie height required for twelve streams by our Rule 1, DrawA B, and from a scale of equal parts set oS 157 feet 3 inches from. A to C, at A erect a perpendicular A D to A B, and set off twelveequal parts thereon, and draw through the points I, 2, 3, &c.,lines parallel to A B, on the parallel I E, set otf the first height30 feet from the same scale as A C. Then by Rule 1 find theheight of any one of the intermediate streams, as 6, and set it oflFfrom 6 to F, then through the points E, F, C, describe a parabola,the portion cut ofi on each ordinate by the curve will be theseveral numbers given in the table as measured by the scale fromwhich I E, 6 F, and A C were taken; the abscissas 1, 2, 3, &c.,may be set ofi by any scale, providing they are equidistant, andaccording as they are wider or narrower, will the parabola in-crease or diminish its curvature. It is evident that in the case of100 additional streams the labour of calculation will be materiallyshortened, as no more than three values need ever be found arith-metically. In like mann
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