A Tract On Crystallography Designed for the Use of Students in the University
A Tract On Crystallography Designed for the Use of Students in the University
W H William Hallowes Miller
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186. When the twin axis, and the angles of one of the crystals are given, the arc joining any pole of one crystal, and any pole of the other, can be readily determined. First let P, p be corresponding poles of the two crystals, p the pole opposite to p. Then Tp TP, and pPp is a semicircle, there- fore Pp = 2TP, and Pp' = 18Q-2TP. When TP is greater than a quadrant, Pp' is negative, and the faces P, p' will form a re-entrant angle. Next let P, Q be any two poles of one crystal ; p, q the corresp...onding poles of the other. From the given arcs TP, TQ, PQ the angle PTQ is known, andpTQ = 18Q Q -PTQ. Therefore, knowing TQ, Tp and the angle p TQ, the arc p Q may be found. CHAPTER IX. GEOMETRICAL INVESTIGATION OF THE PROPERTIES OF A SYSTEM OF PLANES. 187. LET any three straight lines in one plane, intersecting one another in the points A, B, C, meet any other straight line in the same plane, in Z>, E, F, the points Z>, E, F being in the lines respectively opposite to A 9 B, C. From A draw AH parallel to BC, meeting DF'm H.
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