NOTE 222. p. 399. Fig. 74. represents the curves in question. It is evident that for the same focal distance S P, there can be but one circle and one parabola p P R, but that there may be an infinity of ellipses between the circle and the parabola, and an infinity of hyperbolas H P Y exterior to the parabola p PR. NOTE 223. p. 411. Let A B, fig. 26., be the diameter of the earth's orbit, and suppose a star to be seen in the direction A S' from the earth when at A. Six months afterwards, the earth having moved through half of its orbit, would arrive at B, and then the star would appear in the direction B S', if the diameter A B, as seen from S', had any sensible magnitude. But A B, which is 190,000,000 of miles, does not appear to be greater than the thickness of a spider's thread, as seen from 61 Cygni, supposed to be the nearest of the fixed stars. NOTE 224. p. 414. The mass is found in the manner explained in note 133.; but the method of computing the distance of the star may be made more clear by what follows. Though the orbit of the satellite star is really and apparently elliptical, let it be represented by C D O, fig. 14., for the sake of illustration, the earth being in d. It is clear that, when the star moves through CD O, its light will take longer in coming to the earth from O than from C, by the whole time it employs in passing through O C the breadth of its orbit. When that time is known by observation, reduced to seconds, and multiplied by 190,000, which is the number of miles light darts through in a second, the product will be the breadth of the orbit in miles. From this the dimensions of the ellipse will be obtained by the aid of observation, the length and position of any diameter as Sp may be found; and as all the angles of the triangle d Sp can be determined by observation, the distance of the star from the earth may be computed. NOTE 225. p. 416. One of the globular clusters mentioned in the text, is represented in fig. 1., plate 5. The stars are gradually condensed towards the centre, where they run together into a blaze somewhat like a snowball. The more condensed part is projected on a ground of irregularly scattered stars, which fills the whole field of the telescope. There are few stars in the neighbourhood of this cluster. NOTE 226. p. 419. its oblique position. extremity. Fig. 2. plate 5. represents one of those enormous rings in NOTE 227. p. 419. Fig. 3. plate 5. may convey some idea of the ring in the constellation of the Lyre mentioned in the text. NOTE 228. p. 419. This most wonderful object has the appearance of fig. 4. plate 5. The southern head is denser than the northern. The light of this object is perfectly milky. There are one or two stars in it. NOTE 229. p. 419. Fig. 5. plate 5. represents this brother system. NOTE 230. p. 420. Fig. 6. plate 5. represents one of the spindle-shaped nebulæ. NOTE 231. p. 427. Elongation. The apparent angular distance of an object from the centre of the sun. Action and reaction, 6. Note 19. —of light on the retina, 205. Air, atmospheric, analysis of, 138. Algæ, or sea weeds, their distribution, Algol, a variable star, 204. Alhason the Saracen, observed the ef- Altitude, the height of a celestial body Ampère, M., his theory of electro- Analogy between a stretched cord and between the different rays of the 260. between light, heat, and sound, Analytical formulæ, 125. Note 158. Analysis, 3. Note 3. Ancient chronology, 102. Angle of position of a double star, Angular motion of the earth, 107. Note 152. Velocity, 75. 107. Notes 89. 138. motions of the first three of Jupi- Animal electricity, 332. Animals, distribution of, 298. Annual equation, 44. Anomaly, mean, 46. Note 106. Antennæ, the threadlike horns on the heads of insects, 247. Aphelion, 21. Note 65. Apsides, 12. 21. Notes 49. 66. motion of, 21, 22. Note 67. Arc of the meridian, 58. Notes 124, Arcs a measure of time, 26. Note 76. Aries, the first point of, 93. 358. Assyrians made use of the week of seven days, 99. Astronomical tables, 71. — data for, 71. -eras, 100. Note 147. of the Chinese and Indians, 102. the law of its density, 139. of the moon and planets, 262. of comets, 392. Attraction of a sphere and spheroid, 5. of the earth and moon, 6. of the celestial bodies, 6. universal, 7. capillary, 134. electrical, 302. magnetic, 339. of electric currents, 352. Aurora, 320. Axes, lunar, 79. —, major, of planetary orbits inva- riable, 25. 85. 25. Barometrical measurements, 140. Battery, Voltaic, 323. Beckman, M., his discovery of the Becquerel, M., his experiments and Bessel, Professor, his notice of the secu- Biot, M., his ascent in a balloon, 141. connection of, with mean motion, Bonpland, M., his botanical observ- ations, 294. Botto, Professor, his experiments on Bouguer, M., his mensuration of a de- Brahmins employed the week of seven Brewster, Sir David, his discovery of Brinkley, Bishop, his value of the mass Coal measures, their early formation, 87. Brown, Mr., his botany of Australia, Cobalt, a metal, its polarity, 320. Centrifugal force, 6. 115. Notes 18. Compass. See Mariner's Compass. Chaldeans, their observations of eclipses, Compression, 6. Note 11. |