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 31
... and EF and OK pera pendicular to AO , and let the latter meet EC ( produced )
in l ; lastly , draw QDK perpendicular to ... meeting OA , OC and OI ( produced ) in
Q , L and K. Because CD = BD , it is manifest that OD is not only perpendicular ...
... and EF and OK pera pendicular to AO , and let the latter meet EC ( produced )
in l ; lastly , draw QDK perpendicular to ... meeting OA , OC and OI ( produced ) in
Q , L and K. Because CD = BD , it is manifest that OD is not only perpendicular ...
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 .
Side 65
T DE H Let HG , perpendicular to AB , be the diameter of a circle described about
the triangle ; and let HD and Hd be perpendicular to the two sides of the B
triangle ; also let CF be A parallel to AB , and lec HA , HB and HC be drawn .
Since the ...
T DE H Let HG , perpendicular to AB , be the diameter of a circle described about
the triangle ; and let HD and Hd be perpendicular to the two sides of the B
triangle ; also let CF be A parallel to AB , and lec HA , HB and HC be drawn .
Since the ...
Side 69
In any plane triangle ABC , it will be , as the perpendicular is to the sum of the two
sides , so is the tangent of half the angle at the vertex , to the tangent of an angle ;
and , as radius is to the tangent of balf this angle , so is the sum of the two ...
In any plane triangle ABC , it will be , as the perpendicular is to the sum of the two
sides , so is the tangent of half the angle at the vertex , to the tangent of an angle ;
and , as radius is to the tangent of balf this angle , so is the sum of the two ...
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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 |