## Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |

### Inni boken

Resultat 1-5 av 5

Side 33

In any Spherical triangle ABC , it will be , as the co - tangent of half the sum of the

angles at tbe base , is to the tangent of half their difference , so is the tangent of

half the

In any Spherical triangle ABC , it will be , as the co - tangent of half the sum of the

angles at tbe base , is to the tangent of half their difference , so is the tangent of

half the

**vertical angle**, to the tangent of the angle which the perpendicular CD ... Side 61

With the Construction and Application of Logarithms Thomas Simpson. PROP .

VII . As the base of any plane triangle ABC , is to the fum of the two fides , so is

the fine of half the

angles at ...

With the Construction and Application of Logarithms Thomas Simpson. PROP .

VII . 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 theangles at ...

Side 62

... 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 ... from the vertex ) , so is the fine of

half the

base .

... 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 ... from the vertex ) , so is the fine of

half the

**vertical angle**, to the co - fine of half the difference of the angles at thebase .

Side 63

As the tangent of the

half the base AB to a fourth ... above the said fourthproportional , so is the fine of

the

As the tangent of the

**vertical angle**C of a plane triangle ABC , is to radius , so ishalf the base AB to a fourth ... above the said fourthproportional , so is the fine of

the

**vertical angle**, to the co - fine of the difference of the angles at the base . Side 68

In any plane triangle ABC , it will be , as the line CE bileeting the

is to the base AB , so is the secant of half the

an angle ; and , as the tangent of half this angle is to radius , so is the fine of balf ...

In any plane triangle ABC , it will be , as the line CE bileeting the

**vertical angle**,is to the base AB , so is the secant of half the

**vertical angle**ACB , to the tangent ofan angle ; and , as the tangent of half this angle is to radius , so is the fine of balf ...

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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 - 1799 |

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 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