A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical ApplicationsJ. Johnson, 1806 - 419 Seiten |
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Seite 36
... objects and the eye of the observer and elevations are found by reflecting the object from an artificial horizon . Short bases , for temporary use only , are usually measured with rods , or the Gunter's chain of 66 feet ; but the common ...
... objects and the eye of the observer and elevations are found by reflecting the object from an artificial horizon . Short bases , for temporary use only , are usually measured with rods , or the Gunter's chain of 66 feet ; but the common ...
Seite 37
... objects are in proportion to each other as the lengths of their shadows . C B Thus , if the height of the pole a c be 8 feet , the length of its shadow cb 6 feet , and the shadow C B , of the object A c , 45 feet : Then 6 8 : 45 : 60 ...
... objects are in proportion to each other as the lengths of their shadows . C B Thus , if the height of the pole a c be 8 feet , the length of its shadow cb 6 feet , and the shadow C B , of the object A c , 45 feet : Then 6 8 : 45 : 60 ...
Seite 38
... object , so that the observer may see the top of the object over the tops of both the poles , Thus , let the length of the pole de be 5 feet , that of the pole f g 7 feet , their distance asunder eg 8 feet , and the distance ec , of the ...
... object , so that the observer may see the top of the object over the tops of both the poles , Thus , let the length of the pole de be 5 feet , that of the pole f g 7 feet , their distance asunder eg 8 feet , and the distance ec , of the ...
Seite 39
... object in the same right line . D B In which case , the distance F D from the foot of the pole to the eye of the observer , will be in proportion to the height of the pole c D , as the whole distance F B is to the height of the object A ...
... object in the same right line . D B In which case , the distance F D from the foot of the pole to the eye of the observer , will be in proportion to the height of the pole c D , as the whole distance F B is to the height of the object A ...
Seite 41
... object , when its angles of elevation , as taken by two observers at the same time , on the same side of it , and in the same vertical plane , were 64 ° and 35 ° ; their distance asunder being half a mile , or 880 yards . D LABC LADC ...
... object , when its angles of elevation , as taken by two observers at the same time , on the same side of it , and in the same vertical plane , were 64 ° and 35 ° ; their distance asunder being half a mile , or 880 yards . D LABC LADC ...
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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.