A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical ApplicationsJ. Johnson, 1806 - 419 Seiten |
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Seite xxii
... supplement . followed without any other restriction , they would frequently lead to an impossible triangle . The same observation may also be applied to the two corresponding properties of quadrantal spherical triangles . ( y ) A right ...
... supplement . followed without any other restriction , they would frequently lead to an impossible triangle . The same observation may also be applied to the two corresponding properties of quadrantal spherical triangles . ( y ) A right ...
Seite xxiv
... supplements ; which though left without de- monstration , and , in the latter case , probably formed by induction from the law of the terms and their co- efficients , have , nevertheless , been the germ of most of the numerous and ...
... supplements ; which though left without de- monstration , and , in the latter case , probably formed by induction from the law of the terms and their co- efficients , have , nevertheless , been the germ of most of the numerous and ...
Seite 2
... supplement ( b ) . C B circle described from the angular point be larger or smaller , as the arc contained between ... supplements of each other . Thus , B C is the complement of A B or of в a ; but in most practical questions , it is ...
... supplement ( b ) . C B circle described from the angular point be larger or smaller , as the arc contained between ... supplements of each other . Thus , B C is the complement of A B or of в a ; but in most practical questions , it is ...
Seite 3
... supplement of an angle is the difference be- tween that angle and two right angles , or 180 ° . Thus BOC is the complement of A O B , and Boa is its supplement . B a The sine of an arc is a right line drawn from one end of the arc ...
... supplement of an angle is the difference be- tween that angle and two right angles , or 180 ° . Thus BOC is the complement of A O B , and Boa is its supplement . B a The sine of an arc is a right line drawn from one end of the arc ...
Seite 5
... supplement в a . B The coversed sine of an arc is the versed sine of the complement of that arc . Thus CE is the coversed sine of AB , or the versed sine of its complement в C ; and ED is the versed sine of the supplement of в c . a ...
... supplement в a . B The coversed sine of an arc is the versed sine of the complement of that arc . Thus CE is the coversed sine of AB , or the versed sine of its complement в C ; and ED is the versed sine of the supplement of в c . a ...
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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.