A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical ApplicationsJ. Johnson, 1806 - 419 páginas |
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Página vii
... scale of arith . metic , do not appear to have deviated from the Greeks ( c ) Claudius Ptolemeus was born at Ptolemais , in Egypt , and taught Astronomy at Alexandria , where he died in the year of Christ 147 , being the 78th year of ...
... scale of arith . metic , do not appear to have deviated from the Greeks ( c ) Claudius Ptolemeus was born at Ptolemais , in Egypt , and taught Astronomy at Alexandria , where he died in the year of Christ 147 , being the 78th year of ...
Página xix
... scale , that still goes by his name : by which proportions in trigonometry , navigation , and other subjects , may be performed by the mere application of a pair of compasses ; being a power of a binomial , successively from each other ...
... scale , that still goes by his name : by which proportions in trigonometry , navigation , and other subjects , may be performed by the mere application of a pair of compasses ; being a power of a binomial , successively from each other ...
Página xxviii
... scale of chords , and make oв equal to the semitangent of the comple- ment of BC ( 47 ° 48 ′ ) . 3. Draw the diameters Aa , Dd , at right angles to each other , and through the points A , B , a , describe a circle ; then ABC will be the ...
... scale of chords , and make oв equal to the semitangent of the comple- ment of BC ( 47 ° 48 ′ ) . 3. Draw the diameters Aa , Dd , at right angles to each other , and through the points A , B , a , describe a circle ; then ABC will be the ...
Página xxix
... scale of chords , gives B 64 ° 35 ' , or , taken on the scale of semitangents , and then subtracted from 90 ° , gives 4 A 48 ° 0 ' , and AC , on the scale of chords , is 54 ° 43 ' . BY CALCULATION . : Sin AB : Rad , or sin :: Sin B C ...
... scale of chords , gives B 64 ° 35 ' , or , taken on the scale of semitangents , and then subtracted from 90 ° , gives 4 A 48 ° 0 ' , and AC , on the scale of chords , is 54 ° 43 ' . BY CALCULATION . : Sin AB : Rad , or sin :: Sin B C ...
Página 8
... scale of equal parts , and the angles from a scale of chords , or a protractor , and then measuring the unknown parts by the same scale or instrument from which the others were taken . In the second method , having stated the proportion ...
... scale of equal parts , and the angles from a scale of chords , or a protractor , and then measuring the unknown parts by the same scale or instrument from which the others were taken . In the second method , having stated the proportion ...
Otras ediciones - Ver todas
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... John Bonnycastle Sin vista previa disponible - 2014 |
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... John Bonnycastle Sin vista previa disponible - 2018 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.
Página 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.
Página 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...
Página 75 - Having given two sides and an angle opposite to one of them, or two angles and a side opposite to one of them.