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What unconsumed masses overlooked it? Did the rocks of the Appalachian valley stand above this surface when it was produced? Did they then stand below it? Compare the time needed to develop this surface with that needed to develop cd. Which surface is the older? How many cycles of erosion are represented here?
Bitches & one of Mason's Dogs the other French dogs shewed but little disposition to follow and with the second Dog of Mason's got upon another Fox which was followed slow and indifferently by some & not at all by the rest until the sent became so cold it cd. not be followed at all." Shaw and Myself went into the Woods back of the Muddy hole Plantation a hunting and were joined by Mr.
Let A be the place of the sun, BD a part of the orbit or annual path of the Earth: ABC a straight line which I suppose to meet the orbit of the Moon, which is represented by the circle CD, at C.
Dub., and, mad Mathesis inspiring, might teach eternally how the line AB is equal to the line CD, or why poor X Y Z are unknown quantities. Ah! my dear boy, think of the pleasure, the glory of lecturing classes of ignoramuses, and dunces yet unborn!"
They must be regarded as approximate, since several disturbing factors and some secondary reactions render difficult their exact application under the conditions of analysis. They are: Zn Cd Fe Ni Pb H Cu Sb Hg Ag SO +0.77 +0.42 +0.34 +0.33 +0.13 0 -0.34 -0.67 -0.76 -0.79 +1.90
One sees then that as there is in the refraction of ordinary media a certain constant proportion between the sines of the angles which the incident ray and the refracted ray make with the perpendicular, so here there is such a proportion between CV and CD or IE; that is to say between the Sine of the angle which the incident ray makes with the perpendicular, and the horizontal intercept, in the Ellipse, between the refraction of this ray and the diameter CM. For the ratio of CV to CD is, as has been said, the same as that of N to the semi-diameter CG.
The valley is traversed lengthwise by long, low ridges, the outcropping edges of the harder strata, which rise to about the same level, that of the line cd. Between these ridges stretch valley lowlands at the level ef excavated in the weaker rocks, while somewhat below them lie the channels of the present streams now busily engaged in deepening their beds.
Now if ed is equal to ab, and cd was also equal to ab by hypothesis, it follows that ed = cd, which is impossible, for ed is a part of cd. If it is shorter than cd and yet is infinite, one infinite is shorter than another infinite, which is also impossible. The only alternative left is then that ed is finite.
Let us suppose that it be desired to measure the angle between two stars, then if the angle be not too large it can be determined in the following manner. Let the rod AB be divided into inches and parts of an inch, and let another rod, CD, slide up and down along AB in such a way that the two always remain perpendicular to each other.
For the refraction of the ray RC is nothing else than the progression of the portion C of the wave CO, continued in the crystal. Now as to finding the point of contact I, it is known that one must find CD a third proportional to the lines CK, CG, and draw DI parallel to CM, previously determined, which is the conjugate diameter to CG; for then, by drawing KI it touches the Ellipse at I.
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