Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Resultat 1-5 av 5
Side 26
making an angle DOE , measured by the arch ED ; the plane DOE being
fuppofed perpendicular to the diameter AL , at the center O. Let AB be the base of
the proposed triangle , BC the perpendicular , AC the hypothenuse , and BAC ( or
DAE ...
making an angle DOE , measured by the arch ED ; the plane DOE being
fuppofed perpendicular to the diameter AL , at the center O. Let AB be the base of
the proposed triangle , BC the perpendicular , AC the hypothenuse , and BAC ( or
DAE ...
Side 59
Hence it also appears , that the base ( CD ) of a plane triangle , is to ( Cd ) the
difference of its two segments ( made by letting fall a perpendicular ) , as the fine
of the angle ( CAD ) at the vertex , to the fine of the difference of the angles at the
...
Hence it also appears , that the base ( CD ) of a plane triangle , is to ( Cd ) the
difference of its two segments ( made by letting fall a perpendicular ) , as the fine
of the angle ( CAD ) at the vertex , to the fine of the difference of the angles at the
...
Side 61
As the base of any plane triangle ABC , is to the fum of the two fides , so is the
fine of half the vertical angle , to the co - fine of balf the difference of the angles at
the base . In AC , produced , take CD = CB ; join B , D , and draw CE E parallel to
...
As the base of any plane triangle ABC , is to the fum of the two fides , so is the
fine of half the vertical angle , to the co - fine of balf the difference of the angles at
the base . In AC , produced , take CD = CB ; join B , D , and draw CE E parallel to
...
Side 62
It is B manifest , because CD = CB , that CDB and CBD are equal to one another ,
and that each of them is also equal to half the sum of the angles CBA and A at the
base ( by Cor . 2. to 10. 1. ) ; therefore ABD , being the excess of the greater ...
It is B manifest , because CD = CB , that CDB and CBD are equal to one another ,
and that each of them is also equal to half the sum of the angles CBA and A at the
base ( by Cor . 2. to 10. 1. ) ; therefore ABD , being the excess of the greater ...
Side 64
... is to radius , so is the base AB to a fourth - proportional ; and , as the said fourth
- proportional , is to the sum of the semi - base and the line CD biseating the base
, so is the difference of these two , to the perpendicular beight of the triangle .
... is to radius , so is the base AB to a fourth - proportional ; and , as the said fourth
- proportional , is to the sum of the semi - base and the line CD biseating the base
, so is the difference of these two , to the perpendicular beight of the triangle .
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Vanlige uttrykk og setninger
added alſo appears arch balf baſe becauſe called caſe chord circle co-f co-fine AC co-tang common complement conſequently Corol COROLLARY determine diameter difference divided drawn equal equal to half evident exceſs extremes fide AC fine fines firſt follows given gives gles greater half the ſum half their difference Hence hyperbolic logarithm hypothenuſe laſt logarithm manifeft meeting method minute moreover Note oppoſite parallel perpendicular plane triangle ABC preceding progreſſion PROP proportion propoſed radius rectangle reſpectively right-angled ſame ſecant ſee ſeries ſhall ſides ſince ſine ſpherical Spherical triangle ABC ſubtracted ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence
Bibliografisk informasjon
| Tittel | Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms, Thomas Simpson |
| Forfatter | Thomas Simpson |
| Bidragsyter | John Nourse |
| Utgiver | J. Nourse, bookseller in ordinary to his Majesty., 1765 |
| Original fra | Oxford University |
| Digitalisert | 27. feb 2009 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |