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Mathematically, it is of course vanishingly small compared to the first power of the cosine, but fields of that type must be exact, and your neglect of the square is indefensible. Since you cannot integrate with the squared term in place, your whole solution fails." "Not necessarily. We'll go back to 29, and put in sine squared theta minus one equal to z sub four.
In epsilon we have a beautiful combination of a yellow with a blue star, magnitudes four and eight, distance 3.4", p. 198°. Finally, let us look at theta for a light test with the five-inch. The two stars composing it are of the fourth and twelfth magnitudes, distance 50", p. 170°.
White adduces in such names as Anthony and such words as authority, they have no bearing on the question, for those words are not English, and the h in them is perhaps only a trace of that tendency in t to soften itself before certain vowels and before r, as d also does, with a slight sound of theta, especially on the thick tongues of foreigners.
Carl would whistle it under my window at the Theta house in college, and I would run down and out the side door, to the utter disgust of my well-bred "sisters," who arranged to make cutting remarks at the table about it in the hope that I would reform my "servant-girl tactics." Wherever any of us were in the house, it meant a dash for all to the front door to welcome the Dad home.
Of the three sons of Javan also, the son of Japhet, Elisa gave name to the Eliseans, who were his subjects; they are now the Aeolians. Tharsus to the Tharsians, for so was Cilicia of old called; the sign of which is this, that the noblest city they have, and a metropolis also, is Tarsus, the tau being by change put for the theta.
Having accomplished this ambition by going into debt, I realized a greater, and pinned to the lapel of my gayly checked coat, the pearl and diamond-studded pin of Gamma Theta Epsilon. That, of course, was Boller's fraternity, and I think he could have persuaded me to join whatever he asked, so wholly was I captured by his kindness.
Farther toward the east we encounter a part of Serpens again, which contains just one object worth glancing at, the double theta, whose stars are of magnitudes four and four and a half, distance 21", p. 104°. Color, both yellow, the smaller star having the deeper hue. Let us next, with the guidance of map No. 15, enter the rich star fields of Hercules, and of the head and first coils of Draco.
I am acquainted with an astronomer of long experience in the use of telescopes, whose eye is so deficient in color sense that he denies that there are any decided colors among the stars. Such persons miss one of the finest pleasures of the telescope. In examining theta Virginis we shall do best to use our largest aperture, viz., the five-inch.
The magnitudes are six and eight, distance 56", p. 242°. A double of similar magnitudes is chi, distance 19", p. 25°. Between the two stars which the naked eye sees in kappa is a minute pair, each of less than the eleventh magnitude, distance 5", p. 324°. Another naked-eye double is formed by theta^1 and theta^2, in the Hyades. The magnitudes are five and five and a half, distance about 5' 37".
Therefore, by shifting the axis of rotation or the plane of vibration thus making theta vary between the limits of zero and Pi divided by two...." He was interrupted by Dorothy, who, mortified by her thoughtlessness in getting him started, had sprung up and seized him by the arm. "Sit down, Dicky!" she implored. "Sit down, you're rocking the boat! Save your mathematics for Martin.
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