. Lighthouse construction and illumination; . in relation to the distance from the windward Laio of the liatio of the Sciuare Roots of the Distancesfrom the Winchvard Shore.—In the Edinburgh PhilosophicalJournal for 1852 I stated, as the result of a series ofobservations begun in 1850, that the height of waves in-creased most nearly in the ratio of the square roots of theirdistances from the windward shore. Wliere h is the heightof waves in feet, and cl the fetch in miles, the formulaA= 1-5 \/f^, from which the storm curve was laid down, willbe found sufficiently accurate for all but
. Lighthouse construction and illumination; . in relation to the distance from the windward Laio of the liatio of the Sciuare Roots of the Distancesfrom the Winchvard Shore.—In the Edinburgh PhilosophicalJournal for 1852 I stated, as the result of a series ofobservations begun in 1850, that the height of waves in-creased most nearly in the ratio of the square roots of theirdistances from the windward shore. Wliere h is the heightof waves in feet, and cl the fetch in miles, the formulaA= 1-5 \/f^, from which the storm curve was laid down, willbe found sufficiently accurate for all but very short ^liere the fetch is less than 39 miles, the most accurateformula is 7t = IS \/^+(2*5 — Vd). In calculating theannexed table, both formulcC were employed. The ordinates representing the height of waves in heavy GENEEATION OF WAVES. gales (Fig. 1) were all that had been observed when thediagram was made, but since then many more have beenobtained, which also corroborate the law. The abscissae show the lengths of fetch,. 0\ 5 JO 10 30 m 50 GO Vertleal 1. Table shovnng apjproximate heights of Waves due to lengths of Fetch. Miles. Heights. Miles. Heights. Miles. Heights. MUes. Heights. 1 = 3-0 ft. 20 = 7-1 ft. 39 = 9-4 ft. 130 = 17-1 ft. 2 = 3-4 21 = 7-2 40 = 9-5 140 = 17 7 3 = 3-8 22 = 7-4 41 = 9-6 150 = 18 4 4 = 4-1 23 = 7-5 42 = 9-7 160 = 19 0 5 = 4-3 24 = 7-6 43 = 9-8 170 = 19 5 6 = 4-6 25 = 7-8 44 = 9-9 180 = 20 1 7 = 4-8 26 = 7-9 45 = 10-0 190 = 20 7 8 = 5-0 27 = 8-0 46 = 10-2 200 = 21 2 9 = 5-3 28 = 8-1 47 = 10-3 210 = 21 7 10 = 5-6 29 = 8-3 48 = 10-3 220 = 22 2 11 = 5-7 30 = 8-4 49 = 10-5 230 = 22 7 12 = 5-9 31 = 8-5 50 = 10-6 240 = 23 2 13 = 60 32 = 8-6 60 = 11-6 250 = 23 7 14 = 6-2 33 = 8-8 70 = 12-5 260 = 24 2 15 = 6-3 34 = 8-8 80 = 13-4 270 = 24 6 16 = 6-5 35 = 8-9 90 = 14-2 280 = 25 1 17 = 6-7 36 = 9-0 100 = 15-0 290 = 25 5 18 = 6-8 37 = 9-2 110 = 15-7 300 = 26-0 19 = 7-0 38 = 9-3 120 = 16-4 70 80 90 100 110 IZQ 3. Gicatest Height of
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