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" ... the remainder will be ec; then from the square of the radius ci, subtract the square of the distance oi, which the required ordinate i n, is from the middle ordinate de, and extract the square root of the remainder. This square root will be o c. From... "
The Field Practice of Laying Out Circular Curves for Rail-roads - Page 20
by John Cresson Trautwine - 1851 - 75 pages
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A Treatise on the Principles and Practice of Levelling, Showing Its ...

Frederick Walter Simms - Leveling - 1856 - 258 pages
...will be o c. From this square root oc subtract ec ; the remainder will be oc, which is equal to i ยป, the required ordinate. Example. โ€” The middle ordinate...100 feet chord ba, to a radius of 819, being 1'528 foot, it is required to find the length of the ordinate in, 20 feet from the middle one. Here, the...
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Griswold's Railroad Engineers' Pocket Companion for the Field: Comprising ...

Whiting Griswold - Railroad engineering - 1866 - 144 pages
...root of the remainder; this square root will be oc ; subtract ec from oc ; the remainder will be o 0, which is equal to in, the required ordinate. EXAMPLE. โ€” The middle ordinate de (Fig. 1) of a 100 ft chord ab, to a radius of 819 ft. = 1-52 ; it is required to find the length of...
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Journal of the Franklin Institute

Electronic journals - 1851 - 498 pages
...square root of the remainder. This square root will be o c. From this square root oc, sublract e cythe remainder will be oe, which is equal to in, the required ordinate. Example. โ€” The middle ordinate of a 100 feet chord to a radius of 819 being 1-528 feet, it is required to find the length of an ordinate...
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