A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical ApplicationsJ. Johnson, 1806 - 419 Seiten |
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Seite 39
... altitude a c is to the error committed in taking the Abc , as double the height Ac is to the sine of double the observed Abc Whence the error that may arise in taking the said altitude will be the least possible when the sine of double ...
... altitude a c is to the error committed in taking the Abc , as double the height Ac is to the sine of double the observed Abc Whence the error that may arise in taking the said altitude will be the least possible when the sine of double ...
Seite 40
... altitude of 45 ° , if an error of 1 ' be made in the determination of the observed 4 , the error in altitude will be part of the whole ; and if the observed be greater or less than 45 ° , the error in altitude will be increased in the ...
... altitude of 45 ° , if an error of 1 ' be made in the determination of the observed 4 , the error in altitude will be part of the whole ; and if the observed be greater or less than 45 ° , the error in altitude will be increased in the ...
Seite 50
... altitude of an object by the sextant , and brings the object to the water's edge at B , instead of to the horizon DE , the altitude is evidently too great by the angle E DB , which angle may be found by the following rule : D Cos EDB ...
... altitude of an object by the sextant , and brings the object to the water's edge at B , instead of to the horizon DE , the altitude is evidently too great by the angle E DB , which angle may be found by the following rule : D Cos EDB ...
Seite 51
... altitudes of the heavenly bodies , is not constant at the same elevation and distance ; but is found to vary with the changes in the atmosphere , as heat , a different density , moisture , & c . At the distance of 8 or 10 miles , it is ...
... altitudes of the heavenly bodies , is not constant at the same elevation and distance ; but is found to vary with the changes in the atmosphere , as heat , a different density , moisture , & c . At the distance of 8 or 10 miles , it is ...
Seite 184
... altitude , or alma- canters , are small circles parallel to the horizon . The equinoctial points are the two points where the ecliptic cuts the equinoctial ; and the solsticial points are the two points where it touches the tropics ( t ) ...
... altitude , or alma- canters , are small circles parallel to the horizon . The equinoctial points are the two points where the ecliptic cuts the equinoctial ; and the solsticial points are the two points where it touches the tropics ( t ) ...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... John Bonnycastle Keine Leseprobe verfügbar - 2014 |
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... John Bonnycastle Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
A B C acute adjacent angle Aldebaran ambiguous azimuth centre complement cos² cosec cosine describe a circle diff difference distance draw the diameters ecliptic equal equation Example extent will reach find the rest former formulæ given leg given side Given two sides greater than 90 Greenwich height horizon hypothenusal angle incd latitude leg BC less than 90 Log sine logarithms longitude meridian moon's oblique oblique-angled spherical triangle observed obtuse opposite angle parallax perpendicular plane triangle point of aries points pole quadrantal spherical triangle radius required to find right ascension right-angled spherical triangle RULE scale of chords secant semitangent side AC sides and angles sin a sin sin² sines sphere spherical angle spherical triangle ABC spherical trigonometry star subtracted sun's declination supplement tangents THEOREM three angles three sides trigonometry whence
Beliebte Passagen
Seite xxxi - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Seite 6 - ... for the second term, and the greater for the first ; and in either case multiply the second and third terms together, and divide the product by the first for the answer, which will always be of the same denomination as the third term.
Seite 329 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Seite 363 - The sum of any two sides of a spherical triangle is greater than the third side, and their difference is less than the third side.
Seite vii - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
Seite 13 - To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...
Seite 17 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Seite 2 - SECANT of an arc, is a straight line drawn from the centre, through one end of the arc, and extended to the tangent which is drawn from the other end.
Seite 181 - The AMPLITUDE of any object in the heavens is an arc of the horizon, contained between the centre of the object when rising, or setting, and the east or west points of the horizon. Or, it is...
Seite 75 - Having given two sides and an angle opposite to one of them, or two angles and a side opposite to one of them.