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The Elements of Theoretical and Descriptive Astronomy; For the Use of Colleges and Academies

The Elements of Theoretical and Descriptive Astronomy; For the Use of Colleges and Academies


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 Excerpt: ...one tangent can be drawn to the circumference of a circle at any one point, the lines BG and CH do not touch the two circumferences at precisely the same points at which BH and CG touch; and that, furthermore, in all these figures the relative size of the sun should be immensely greater than it is. Now let M'MM" represent a portion of the moon's orbit at the time of a lunar eclipse. As soon as the moon passes within the line DK, some of the rays of the sun will be cut off from it by the earth, and its brightness will begin to decrease. The whole disc, however, will still be visible. As soon as the moon begins to pass within the line HA, the disc will begin to disappear, and when the whole disc has passed within the cone, the eclipse will be total. 151. Different Kinds of Eclipses.--When the moon's orbit is so situated that only a part of the moon enters the umbra, we have a partial eclipse. When the moon does not enter the umbra, but merely touches it, we have an appulse. When the centre of the moon coincides with the line which connects the centre of the earth and that of the sun, the eclipse is central. A central eclipse occurs very rarely, if indeed it occurs at all. 152. The Semi-Angle of the Umbral Cone.--The semi-angle of the umbral cone is the angle EA G, Fig. 58. Now we have, by Geometry, SEC=ECG + EAG. But SEC is the sun's angular semi-diameter, and ECG is its C Fig. 58. 153. TAe Angular Semi-Diameter of the Shadow at the Distance of the Moon.--The angular semi-diameter of the shadow at the distance of the moon is the angle MEM'. We have, by Geometry, EM' 6-MEM' + EA G. Now EM' G is the moon's horizontal parallax, which we will represent by P, and the value of EA G has been obtained in the preceding article. We therefore have, MEM' = P+...


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Product Details
  • ISBN-13: 9781150622823
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 82
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1150622822
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 163 gr

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