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And it will be found by the same reasoning, in this other figure, that when the piece C of the wave AC shall have reached the surface AB at B, all the portions of the wave AC will have advanced as far as BN, so that BC the perpendicular on AC is to AN the perpendicular on BN as 2 to 3.

The velocity AC may be resolved into two others, namely, AB and AD, or BC, which are found to be 69.28 ft. and 40 ft. respectively, when the angle BAC generally called x in treatises on turbines is 30 deg. If, however, AC is taken at 2 ft., then A B will be found = 20.78 in., and BC = 12 in. for a time of 1/40 or 0.025 of a second.

Thus the wave KE, while advancing toward the meeting place becomes abc, whereof the part ab is made by the evolute bC, a portion of the curve ENC, while the end C remains attached; and the part bc by the evolute of the portion bE while the end E remains attached.

They were not to blame for being unable to have any part or lot in the old Church, as she then was; nor would it be reasonable to expect that they should all of them go through that mighty spiritual labor which was appointed to the German reformers. The form and aim of this personal faith, as it showed itself in the better minds, will bc set forth at the close of our work.

Now let us assume that the ray has come from A to C along AK, KC; the point of refraction K being nearer to A than the point B is; and let CN be the perpendicular upon BC, KN parallel to BC: BM perpendicular upon KN, and KL upon BA.

Richard had originally a cunning expedient, by which the chimneys were intended to be so low, and so situated, as to resemble ornaments on the balustrades; but comfort required that the chimneys should rise with the roof, in order that the smoke might bc carried off, and they thus became four extremely conspicuous objects in the view.

AB equals BC. If BC is, say 40 ft., that will be the height of your "stick of timber." Thus, much labour may be saved in felling trees the timber portion of which may afterwards be found to be too short for your purpose. This should be used more for ascertaining relatively large differences in altitudes than for purposes where any great nicety is required.

"Bc easy with him," put in Egan from the next cot. "He has got his chanst o' goin' clean. Listen, Mulcahy, all we want is for the good sake of the regiment that you take your death standing up, as a man shud. There's be heaps an' heaps of enemy plenshus heaps. Go there an' do all you can and die decent. You'll die with a good name there.

The calendar as regulated by Julius Caesar in 46 BC assumed the length of the solar year to be exactly 365 1/2 days, whereas it is eleven minutes and a few with seconds less. By 1582 the error had become considerable for the calendar was ten days behind the sun. Pope Gregory XIII therefore ordained that ten days in that year should be dropped and October 5th reckoned as October 15th.

Supposing now a flat plate, BC = 12 in. wide move from DA to CB during 0.025 second, it will be readily seen that a drop of water starting from A will have arrived at C in 0.025 second, having been flowing along the surface BC from B to C without either friction or loss of velocity. This concave surface may represent one bucket of a turbine.