Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Resultat 1-5 av 5
Side 14
1 ) For let BD be drawn , interfecting the radius OC in m ; also draw В. H ( mn
parallel to CF , meeting AO in ni and BH and mv , AE , F !! 6 0 parallel to AO ,
meeting DG in H and v . Then , the arches . BC and CD being equal to each other
( by ...
1 ) For let BD be drawn , interfecting the radius OC in m ; also draw В. H ( mn
parallel to CF , meeting AO in ni and BH and mv , AE , F !! 6 0 parallel to AO ,
meeting DG in H and v . Then , the arches . BC and CD being equal to each other
( by ...
Side 31
... and also the chord CB , meeting OE in E and OA ( produced ) in P ; draw ES
parallel to AO , meeting CH in S , and EF and OK perpendicular to AO , and let
the latter meet EC ( produced ) in I ; lastly , draw QDK perpendicular to OD ,
meeting ...
... and also the chord CB , meeting OE in E and OA ( produced ) in P ; draw ES
parallel to AO , meeting CH in S , and EF and OK perpendicular to AO , and let
the latter meet EC ( produced ) in I ; lastly , draw QDK perpendicular to OD ,
meeting ...
Side 37
whence 6 fide AC beBCD is also known ; then ( by Cor . twixt them . to Theor . 3. )
as fine ACD i fiue BCD :: co - fine A : co fine B. Two augles A , Either of the As
rado : co - fue C : : tang . A : ACB and the other fides , co - tang . ACD ( by Theor .
5. ) ...
whence 6 fide AC beBCD is also known ; then ( by Cor . twixt them . to Theor . 3. )
as fine ACD i fiue BCD :: co - fine A : co fine B. Two augles A , Either of the As
rado : co - fue C : : tang . A : ACB and the other fides , co - tang . ACD ( by Theor .
5. ) ...
Side 65
D E B В 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 triangle ;
also let cf be A parallel to AB , and let HA , HB and HC , be H drawn . Since the ...
D E B В 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 triangle ;
also let cf be A parallel to AB , and let HA , HB and HC , be H drawn . Since the ...
Side 66
... B also let CD , equal to by ΑΙ be perpendicular to AB , and meet the periphery
in D ( for it cannot exceed the radius of the circle when the proposition is possible
) : moreover , let AD , BD , and the radius OD , be drawn . Because ACXCB = CD
...
... B also let CD , equal to by ΑΙ be perpendicular to AB , and meet the periphery
in D ( for it cannot exceed the radius of the circle when the proposition is possible
) : moreover , let AD , BD , and the radius OD , be drawn . Because ACXCB = CD
...
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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 demonſtrated determine diameter difference divided drawn Edition equal equal to half evident exceſs extremes fame fides fine fines firſt follows given gives gles great-circles greater half the difference half the ſum Hence hyperbolic logarithm hypothenuſe known laſt logarithm manifeſt meeting method minute Moreover natural Note oppoſite parallel perpendicular plane triangle ABC preceding PROP proportion propoſed radius reſpectively ſame ſecant ſee ſeries ſhall ſides ſince ſine 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. By Thomas Simpson, F.R.S. Eighteenth century collections online |
| Forfatter | Thomas Simpson |
| Utgave | 5 |
| Utgiver | F. Wingrave, successor to Mr. Nourse, 1799 |
| Original fra | The British Library |
| Digitalisert | 30. sep 2016 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |