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

### Inni boken

Resultat 1-5 av 5

Side 8

THEOREM V. 1 In any plane triangle , it will be , as the sum of any two fides is to

their difference , so is the tangent of balf the sum of the two opposite angles , to

the tangent of

...

THEOREM V. 1 In any plane triangle , it will be , as the sum of any two fides is to

their difference , so is the tangent of balf the sum of the two opposite angles , to

the tangent of

**half their difference**. 2 B. For , let ABC be the triangle , and AB and...

Side 14

C If

co - fine of

C If

**there**be three equidifferent arches AB , AC , AD , it will be , as radius is to theco - fine of

**their**common**difference**BC , or CD , so is the fine CF , of the mean , to**half**the sum of the fines BE + DG , of the two extremes : and , as radius to the ... Side 30

E. D. LE M M A. As the sum of the fines of two unequat arches is to their

difference , so is the tangent of half the Sum of those arches to the tangent of

co ...

E. D. LE M M A. As the sum of the fines of two unequat arches is to their

difference , so is the tangent of half the Sum of those arches to the tangent of

**half****their difference**: and , as the sum of the co - lines is to their difference , so is theco ...

Side 31

1 L D For , let AB and R AC bethetwo pro posed arches , and Jet BG and CH be

their fines , and OG and OH their co . ... as the co - tangent of half the sum of the

two fides is to the tangent of

...

1 L D For , let AB and R AC bethetwo pro posed arches , and Jet BG and CH be

their fines , and OG and OH their co . ... as the co - tangent of half the sum of the

two fides is to the tangent of

**half their difference**, so is the co - tångent of half the...

Side 74

... ADE , baving one angle A common , let there be given the two perpendiculars

BC , DE and the fum , or difference , of the ... two perpendiculars , is to the tangent

of

... ADE , baving one angle A common , let there be given the two perpendiculars

BC , DE and the fum , or difference , of the ... two perpendiculars , is to the tangent

of

**half their difference**; so is the tangent of half the fun of the two hypotbenuses ...### Hva folk mener - Skriv en omtale

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### 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 - 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