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

### Inni boken

Resultat 1-5 av 5

Side 3

In order to which , it is not only requisite that the peripheries of circles , but also

certain right - lines in , and about , the circle , be supposed divided into some

assigned number of

be ...

In order to which , it is not only requisite that the peripheries of circles , but also

certain right - lines in , and about , the circle , be supposed divided into some

assigned number of

**equal**parts . 2. The periphery of every circle is supposed tobe ...

Side 5

The co - fine of an arch is the part of the diameter intercepted between the center

and fine ; and is

co - fine of the arch AB , and is

The co - fine of an arch is the part of the diameter intercepted between the center

and fine ; and is

**equal**to the line of the complement of that arch . Thas CF is theco - fine of the arch AB , and is

**equal**to BI , the fine of its complement HB . 9. Side 39

That , the produet of the index of any term by a given number ( n ) is

index of the power wbose exponent is the faid number ( n ) . Thus 2 * 3 ( 6 ) is =

the index of a ' raised to the 3d power ( or ao ) . This is proved in p . 38 , and also

...

That , the produet of the index of any term by a given number ( n ) is

**equal**to theindex of the power wbose exponent is the faid number ( n ) . Thus 2 * 3 ( 6 ) is =

the index of a ' raised to the 3d power ( or ao ) . This is proved in p . 38 , and also

...

Side 56

COROLLARY II . fine = Hence , the line of the double of either arch 2CS ( when

they are

R the double of any arch , is

COROLLARY II . fine = Hence , the line of the double of either arch 2CS ( when

they are

**equal**) will be = and its coR C ' - SP : whence it appears , that the fine ofR the double of any arch , is

**equal**to twice the rečtangle of the fine and co - fine ... Side 67

With the Construction and Application of Logarithms Thomas Simpson. ( by Tbeor

. 1. ) OD ( 2 ) : CD ( 6 ) :: radius : sine DOC ; whofe half is

10. 3. ) But , as radius : tang . BDC :: DC ( 6 ) : BC ; or , as radius : co - tang .

With the Construction and Application of Logarithms Thomas Simpson. ( by Tbeor

. 1. ) OD ( 2 ) : CD ( 6 ) :: radius : sine DOC ; whofe half is

**equal**to A , or BDC ( by10. 3. ) But , as radius : tang . BDC :: DC ( 6 ) : BC ; or , as radius : co - tang .

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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