A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical ApplicationsJ. Johnson, 1806 - 419 Seiten |
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Seite 3
... cosine of an arc is the sine of the complement of that arc , or the part of the diameter which lies be- tween the centre of the circle and the sine . Thus B F , or its equal o D , is the cosine of A в or of в a , or the sine of its ...
... cosine of an arc is the sine of the complement of that arc , or the part of the diameter which lies be- tween the centre of the circle and the sine . Thus B F , or its equal o D , is the cosine of A в or of в a , or the sine of its ...
Seite 5
... cosine of any arc or angle can never exceed the radius , and the secant and cosecant are never less than the radius ; but the tangent and cotangent admit of all possible degrees of mag- nitude . It may also be remarked that the chord of ...
... cosine of any arc or angle can never exceed the radius , and the secant and cosecant are never less than the radius ; but the tangent and cotangent admit of all possible degrees of mag- nitude . It may also be remarked that the chord of ...
Seite 22
... the hypothenuse . But the rule for this case is as readily performed by the sines and cosines , which are always to be found in the logarithmic tables , where the secant is frequently omitted . to the cosine of the other , the latter may ...
... the hypothenuse . But the rule for this case is as readily performed by the sines and cosines , which are always to be found in the logarithmic tables , where the secant is frequently omitted . to the cosine of the other , the latter may ...
Seite 23
With Their Most Useful Practical Applications John Bonnycastle. to the cosine of the other , the latter may be used in- stead of the former , whenever it renders the operation more simple . EXAMPLE I. In the right - angled plane triangle ...
With Their Most Useful Practical Applications John Bonnycastle. to the cosine of the other , the latter may be used in- stead of the former , whenever it renders the operation more simple . EXAMPLE I. In the right - angled plane triangle ...
Seite 25
... cosine , the variation of these lines is so small , that they will not change in the tables for many seconds . Thus , if the log - sine , or cosine , of a required arc should come out 9.9999998 , this number , in the tables , is the ...
... cosine , the variation of these lines is so small , that they will not change in the tables for many seconds . Thus , if the log - sine , or cosine , of a required arc should come out 9.9999998 , this number , in the tables , is the ...
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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.