A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical ApplicationsJ. Johnson, 1806 - 419 páginas |
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Página vii
... circle , is equal to the sum of the rectangles of its op- posite sides ( c ) . After the time of Ptolemy and his commentator Theon , little more is known on this subject till about the close of the eighth century after Christ , when the ...
... circle , is equal to the sum of the rectangles of its op- posite sides ( c ) . After the time of Ptolemy and his commentator Theon , little more is known on this subject till about the close of the eighth century after Christ , when the ...
Página x
... circle , the duplication of the cube , and simi- lar problems ; which are all treated of in a manner worthy the genius of the author ( e ) . Beside the performance above mentioned , there are , likewise , several other smaller tracts on ...
... circle , the duplication of the cube , and simi- lar problems ; which are all treated of in a manner worthy the genius of the author ( e ) . Beside the performance above mentioned , there are , likewise , several other smaller tracts on ...
Página xxi
... circle , used by Vlacq and most of the later compilers . Besides these , several other tables , of a different kind , have been lately published by the French ; in which the quadrant is divided , according to their new system of ...
... circle , used by Vlacq and most of the later compilers . Besides these , several other tables , of a different kind , have been lately published by the French ; in which the quadrant is divided , according to their new system of ...
Página xxiii
... circle , now generally used by the French mathematicians , a number of per- sons have been employed , for several years past , at the Bureau de Cadastre , at Paris , under the direction of Prony , in computing new trigonometrical tables ...
... circle , now generally used by the French mathematicians , a number of per- sons have been employed , for several years past , at the Bureau de Cadastre , at Paris , under the direction of Prony , in computing new trigonometrical tables ...
Página xxviii
... circle , and draw the diameter EC . 2. Set off CA ( 54 ° 43 ′ ) from 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 ...
... circle , and draw the diameter EC . 2. Set off CA ( 54 ° 43 ′ ) from 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 ...
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.