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

### Inni boken

Resultat 1-5 av 8

Side 5

But , first of all , it will be proper to observe , that the fine of any arch Ab greater

than 90 ° , is equal to the fine of another arch AB as much below 90 ° ; and that ,

its co - fine Cf , tangent Ag , and secant Cg , are

...

But , first of all , it will be proper to observe , that the fine of any arch Ab greater

than 90 ° , is equal to the fine of another arch AB as much below 90 ° ; and that ,

its co - fine Cf , tangent Ag , and secant Cg , are

**also**respectively equal to the co...

Side 17

Although what has been hitherto laid down for constructing the trigonometrical -

canon , is abundantly sufficient for that purpose , and is

demonstrated ; yet , as the first sine , from whence the rest are all derived , must

be carried ...

Although what has been hitherto laid down for constructing the trigonometrical -

canon , is abundantly sufficient for that purpose , and is

**also**very easilydemonstrated ; yet , as the first sine , from whence the rest are all derived , must

be carried ...

Side 24

It

given circle , cut that circle at right - angles ; because they pass through , or

coincide with the axis , which is perpendicular to it . 3 . It follows moreover , that

the ...

It

**also**appears ( from Def . 2. ) that all greatcircles , passing through the pole of agiven circle , cut that circle at right - angles ; because they pass through , or

coincide with the axis , which is perpendicular to it . 3 . It follows moreover , that

the ...

Side 25

Hence it is

c ABC and FCE , are both right - angles ; and that CE is the complement of AC ,

CF of BC , BD , A ( or the angle F ) of AB В and EF of ED ( or the angle A ) .

Hence it is

**also**manifest , that the angles B and E , of the complemental trianglesc ABC and FCE , are both right - angles ; and that CE is the complement of AC ,

CF of BC , BD , A ( or the angle F ) of AB В and EF of ED ( or the angle A ) .

Side 31

H F GA Pe ference , and AD half the fum , of AB and AC : let the radii OD and OC

be drawn , and

draw ES parallel to AO , meeting CH in S , and EF and OK pera pendicular to AO

...

H F GA Pe ference , and AD half the fum , of AB and AC : let the radii OD and OC

be drawn , 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 pera pendicular to AO

...

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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