The Elements of Astronomy: Designed for the Use of Students in the UniversityJ. Smith, and sold by J. Deighton and J. Nicholson, 1811 - 297 |
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Strona 18
... trigonometry is all that is requisite . 84. The altitude PR of the pole above the horizon is equal to the -latitude of the place . For the arc ZE is ( 16 ) the measure of the latitude ; but PE = ZR , each being = 90 ° ; take away ZP ...
... trigonometry is all that is requisite . 84. The altitude PR of the pole above the horizon is equal to the -latitude of the place . For the arc ZE is ( 16 ) the measure of the latitude ; but PE = ZR , each being = 90 ° ; take away ZP ...
Strona 19
... Trigonometry , Art . 173. This is the Trigonometry referred to in the future part of this work . converted into time at the rate of 15 ° for On the Doctrine of the Sphere . 19.
... Trigonometry , Art . 173. This is the Trigonometry referred to in the future part of this work . converted into time at the rate of 15 ° for On the Doctrine of the Sphere . 19.
Strona 20
... ( Trig . Art . 215 ) , rad . × cos . ZPb = cot . bp x cot . ZP , or rad . x cos . hour angle = tan . dec . x tan . lat .; therefore ( Trig . Art . 213 ) Log . tan . dec . + log . tan . lat . — 10 , = log . cos . hour ang . from app . noon ...
... ( Trig . Art . 215 ) , rad . × cos . ZPb = cot . bp x cot . ZP , or rad . x cos . hour angle = tan . dec . x tan . lat .; therefore ( Trig . Art . 213 ) Log . tan . dec . + log . tan . lat . — 10 , = log . cos . hour ang . from app . noon ...
Strona 21
... ( Trig . Art . 212 ) , rad . x cos . dPcos . ZP x cos . Zd , or rad . x sin . dec . x sin . alt .; therefore 10 , + log . sin . dec.- log . sin . lat . = log . sin . alt . Also ( Trig . Art . 212 ) rad . x cos . ZPd = cot . Pd × tàn . PZ ...
... ( Trig . Art . 212 ) , rad . x cos . dPcos . ZP x cos . Zd , or rad . x sin . dec . x sin . alt .; therefore 10 , + log . sin . dec.- log . sin . lat . = log . sin . alt . Also ( Trig . Art . 212 ) rad . x cos . ZPd = cot . Pd × tàn . PZ ...
Strona 22
... ( Trig . Art . 125 ) xm : qr :: cos . rx : rad . ( Art . 13 ) hence nx qr :: sin . nmx x cos . rx : rad.2 .. qr = nx × ; but ZxP = nmx , nxm being the complement rad.2 sin . nmx x cos , rx of both ; also ( Trig . Art . 221 ) , sin . ZxP ...
... ( Trig . Art . 125 ) xm : qr :: cos . rx : rad . ( Art . 13 ) hence nx qr :: sin . nmx x cos . rx : rad.2 .. qr = nx × ; but ZxP = nmx , nxm being the complement rad.2 sin . nmx x cos , rx of both ; also ( Trig . Art . 221 ) , sin . ZxP ...
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Popularne fragmenty
Strona 151 - Object would not be the same when the Eye is at Rest, as when it is moving in any other Direction, than that of the Line passing through the Eye and Object; and that, when the Eye is moving in different Directions, the apparent Place of the Object would be different.
Strona 141 - ... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances.
Strona 6 - The Latitude of a star is its angular distance from the ecliptic measured on a circle of latitude.
Strona 180 - ... and therefore there is a greater probability of seeing a lunar than a solar eclipse. Since the moon is as long above the horizon as below, every spectator may expect to see half the number of lunar eclipses which happen.
Strona 217 - Observer' at a salary of 100£ per annum, his duty being 'forthwith to apply himself with the most exact care and diligence to the rectifying the tables of the motions of the heavens and the places of the fixed stars, so as to find out the so much desired longitude of places for the perfecting the art of navigation.
Strona 118 - ... it had a degree of brightness about as strong as that with which such a coal would be seen to glow in faint daylight.
Strona 204 - He further observes, that there are some additional circumstances in the appearance of extended clusters and nebula-, that very much favour the idea of a power lodged in the brightest part. For, although the form of them be not globular, it is plainly to be seen that there is a tendency towards sphericity, by the swell of the dimensions...
Strona 205 - ... in diameter. The star is perfectly in the centre, and the atmosphere is so diluted, faint, and equal throughout, that there can be no surmise of its consisting of stars ; nor can there be a doubt of the evident connection between the atmosphere and the star.
Strona 40 - The Equation of Time is computed by taking the Difference of the Sun's true right Ascension and his mean Longitude corrected by the Equation of the Equinoxes in right Ascension, and turning it into Time at the Rate of 1
Strona 72 - That the planets all move in elliptic orbits, of which the sun occupies one of the foci. 3. That the squares of the times of the revolutions of the planets are as the cubes of their mean distances from the sun.