## Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |

### Inni boken

Resultat 1-5 av 5

Side 8

In any plane triangle , it will be , as the sum of any two sides is to their difference ,

so is the tangent of half the sum of the ... it is plain that ADB is

sum of the angles opposite to the fides proposed , Moreover , since ABC = ABD ...

In any plane triangle , it will be , as the sum of any two sides is to their difference ,

so is the tangent of half the sum of the ... it is plain that ADB is

**equal to half**thesum of the angles opposite to the fides proposed , Moreover , since ABC = ABD ...

Side 14

and therefore Bm for Dm ) will be the fine of BC ( or DC ) , and Om its co - sine :

moreover mn , being an arithmetical mean between the sines BE , DG of the two

extremes ( because Bm = Dm ) is therefore

...

and therefore Bm for Dm ) will be the fine of BC ( or DC ) , and Om its co - sine :

moreover mn , being an arithmetical mean between the sines BE , DG of the two

extremes ( because Bm = Dm ) is therefore

**equal to half**their sum , and Du**equal**...

Side 61

and , consequently , half D + CBD the vertical angle ACB = ( by 9. 1. ) D.

Moreover , seeing DCB is = the sum of the .. angles A and CBA , at the base ( by

9. 1. ) it is evident that BCF ( or DCF ) is

as ECF is ...

and , consequently , half D + CBD the vertical angle ACB = ( by 9. 1. ) D.

Moreover , seeing DCB is = the sum of the .. angles A and CBA , at the base ( by

9. 1. ) it is evident that BCF ( or DCF ) is

**equal to half**that sum ; and , therefore ,as ECF is ...

Side 62

It is LA manifest , because CD = CB , that CDB and CBD are equal to one another

, and that each of them is also

the base ( by Cor . 2. to io , 1. ) ; therefore ABD , being the excess of the greater ...

It is LA 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 atthe base ( by Cor . 2. to io , 1. ) ; therefore ABD , being the excess of the greater ...

Side 65

From whence it is manifest , that CD will be

similar triangles AEH and HCD , it will be , AE : .CD2 :: HA ? -HEX HG ( by Cor . to

...

From whence it is manifest , that CD will be

**equal to half**the sum , and AD**equal****to half**the difference , of the two sides of the triangle . Moreover , because of thesimilar triangles AEH and HCD , it will be , AE : .CD2 :: HA ? -HEX HG ( by Cor . to

...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |

Trigonometry, Plane and Spherical;: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |

Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |

### 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