...wood (about eighty sorts were examined) under these circumstances is at once apparent. With so:ne, the ellipses are tolerably circular; by others, more...second, and by far the most numerous group, containing F.lder, Nut, Ebony, Apple, several dye-woods, etc., the mean value of this ratio is 1 to Г43. In the...

...during the experiment. By this means the coating of stéarine around the orifice was melted; but, as we should expect, not in concentric circles, but in elliptic...major axis of the ellipse is on the average as 1 to 125. To this group, Acacia, Box, Cypress, King-wood, etc., belong. In the second, and by far the most...

...description being the same as for a particle attracted to a fixed point by a force varying as the distance. The ratio of the minor to the major axis of the ellipse, viz. diminishes from the surface to the bottom, where it vanishes. If we compare (32) with (30), we...

...observe, that is, as may readily be shewn, that it should not be less than 2-sr, where tan OT denotes the ratio of the minor to the major axis of the ellipse. With the diminished retardation, the chromatic changes which the retarding plate introduces into the...

...observe, that is, as may readily be shewn, that it should not be less than 2w, where tan w denotes the ratio of the minor to the major axis of the ellipse. With the diminished retardation, the chromatic changes which the retarding plate introduces into the...

...nicol for a match on light of the given ellipticity, ^0 the same for plane polarized light, and E is the ratio of the minor to the major axis of the ellipse. Since the half shade was set with its principal azimuth at 45° to the polarizer, sin 29 = I, and the...

...is a measure of the ellipticity of the reflected light denned by the relation, E = tg f , where E is the ratio of the minor to the major axis of the ellipse. The quantity 7 is the azimuth of the major axis of the elliptic vibration measured with the plane of...

..."relativity-effect"). Two quantum numbers (n, k) define the stationary states (n, k = 1, 2, 3 . . . ; k 4 n), k/n being the ratio of the minor to the major axis of the ellipse. The states are denoted by the symbol n*. In the normal state, li(n = k = 1), the orbit is circular;...

...the major axes are so extended as to be nearly twice the length of the minor ones. The excentricity of these ellipses, which furnished a graphical expression...major axis of the ellipse is on the average as 1 to 1'25. To this group, Acacia, Box, Cypress, King-wood, &c. belong. In the second, and by far the most...

...of the other two. 20 3. Prove that the area of an ellipse is to that of the circumscribing circle in the ratio of the minor to the major axis of the ellipse. 20 4. Prove that the volume of an oblate spheroid is two-thirds that of the circumscribing cylinder....