Popular and Mathematical Astronomy, with the principal formulæ of Plane and Spherical Trigonometry, for the use of schools |
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Page 7
... polar one . 3. It performs its orbit in 365 days , and turns on its axis . once in 24 hours . 4. Its distance from the Sun is 95,000,000 miles , the polar diameter is about 7,916 , and that at the equator 7,942 miles . 5. A figure ...
... polar one . 3. It performs its orbit in 365 days , and turns on its axis . once in 24 hours . 4. Its distance from the Sun is 95,000,000 miles , the polar diameter is about 7,916 , and that at the equator 7,942 miles . 5. A figure ...
Page 16
... polar and equatorial diameters is 6,000 miles . 8. The Sun must appear to ... distance of Jupiter from us , to prove the progressive motion of light , and ... distance from the Sun is 495,000,000 miles . QUESTIONS ON CHAPTER IX . 1. What ...
... polar and equatorial diameters is 6,000 miles . 8. The Sun must appear to ... distance of Jupiter from us , to prove the progressive motion of light , and ... distance from the Sun is 495,000,000 miles . QUESTIONS ON CHAPTER IX . 1. What ...
Page 94
... distance . PS 99 SE " " SH polar distance . declination . altitude . Now ZE ZS + SE , = or , lat . = zen . dist . + decln . , when the object is above pole . Secondly , suppose the object to be below pole , as W. Then PH ' PW + WH ' or ...
... distance . PS 99 SE " " SH polar distance . declination . altitude . Now ZE ZS + SE , = or , lat . = zen . dist . + decln . , when the object is above pole . Secondly , suppose the object to be below pole , as W. Then PH ' PW + WH ' or ...
Page 98
... distance of this star from the pole is so small that we may consider the circle which it describes as a plane , of which the pole is the centre , and the star's polar distance the radius . If it were placed immoveable at the pole , its ...
... distance of this star from the pole is so small that we may consider the circle which it describes as a plane , of which the pole is the centre , and the star's polar distance the radius . If it were placed immoveable at the pole , its ...
Page 99
William Thomas Read. Then ZS zenith distance of the star , PS = polar distance , and angle XPS = meridian distance of star , or hour angle = h . Fig . 26 . Z X W N Draw SX perpendicular to ZN . Then since the angle ZXS 90 ° , therefore ...
William Thomas Read. Then ZS zenith distance of the star , PS = polar distance , and angle XPS = meridian distance of star , or hour angle = h . Fig . 26 . Z X W N Draw SX perpendicular to ZN . Then since the angle ZXS 90 ° , therefore ...
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Other editions - View all
Popular and Mathematical Astronomy, With the Principal Formulæ of Plane and ... William Thomas Read No preview available - 2022 |
Popular and Mathematical Astronomy, with the Principal Formulae of Plane and ... William Thomas Read No preview available - 2015 |
Common terms and phrases
amplitude appear astronomically axis azimuth BC AC called celestial equator celestial meridian centre comet cos² cos³ cosec declination diameter Dividing Earth east eclipse equal equator find the latitude formula Given AC Greenwich date horizon hour angle hypothenuse index error inferior planets latitude Let ABC light limb log AC longitude luminous mean sun miles minutes Moon Nautical Almanac object oblique-angled triangle observed altitude OD² parallax performing her orbit perpendicular phenomenon plane triangle point of Aries polar distance pole Proposition prove QUESTIONS ON CHAPTER radius refraction right ascension right-angled triangle ABC seen semi-diameter sin a sin sin² sin³ sine and cosine sphere spherical triangle star subtracted Sun's supposed surface tangent telescope True altitude visible westerly meridian distance zenith distance
Popular passages
Page 41 - Aries (the Ram), Taurus (the Bull) Gemini (the Twins), Cancer (the Crab), Leo (the Lion), Virgo (the Virgin), Libra (the Scales), Scorpio (the Scorpion), Sagittarius (the Archer), Capricornus (the Goat), Aquarius (the Water-bearer), and Pisces (the Fishes).
Page 72 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 124 - ... instrument is out of adjustment in this respect, the direct and reflected images will not coincide, but the reflected image, as the arm moves, will be slightly above or below the direct image. Adjust the horizon-glass so that the two images coincide when the reflected passes the direct in moving the arm. 3. To make the axis of the telescope parallel to the plane of the arc. Prepare two blocks which are equal in height and the same as the height of the center of the telescope above the plane of...
Page 61 - A sin(A + B) = sin A cos B + cos A sin B cos(A + B) = cos A cos B - sin A sin B...
Page 88 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...
Page 87 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.
Page 91 - When a ray of light passes from a rarer to a denser medium, it is bent towards the perpendicular, at the point at which it entered.
Page 75 - The sphere may be conceived to be generated by the revolution of a semicircle DAE (fig.
Page 64 - The sines of the sides of a spherical triangle are to each other as the sines of the opposite angles. Let abc (fig.
Page 54 - When you have proved that the three angles of every triangle are equal to two right angles...