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

### Inni boken

Resultat 1-5 av 5

Side 17

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

canon , is abundantly sufficient for that purpose , and is also very easily

demonstrated ; yet , as the

be carried ...

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

canon , is abundantly sufficient for that purpose , and is also very easily

demonstrated ; yet , as the

**first**sine , from whence the rest are all derived , mustbe carried ...

Side 18

This , if you desire no more than the 4 or 5

enough where nothing less than degrees and minutes is regarded ) , may be

effected by barely taking the proportional parts of the differences . But if a greater

...

This , if you desire no more than the 4 or 5

**first**places of each ( which is exactenough where nothing less than degrees and minutes is regarded ) , may be

effected by barely taking the proportional parts of the differences . But if a greater

...

Side 19

From this excess let the

the excess itself , then from the remainder ; then from the last remainder , and so

on 44 times . 3. To the leffer extreme add the forementioned excess ; and , to ...

From this excess let the

**first**product be continually , subtracted ; that is ,**first**, fromthe excess itself , then from the remainder ; then from the last remainder , and so

on 44 times . 3. To the leffer extreme add the forementioned excess ; and , to ...

Side 48

But the same conclufion may be brought out by fewer terms of the series , if the '

logarithins of the three

those of 48 and 50 ( which are composed of them ) will likewise be known ; from ...

But the same conclufion may be brought out by fewer terms of the series , if the '

logarithins of the three

**first**primes 2 , 3 and 5 be fupposed known ; becausethose of 48 and 50 ( which are composed of them ) will likewise be known ; from ...

Side 68

With the Construction and Application of Logarithms Thomas Simpson. : BF ( BE )

, the value of x in the

BAF ( tang . F ) :: BF ( BE ) : AB ( by Theor . 2. ) ; and BE : AB :: AB : BD ( by Cor .

to ...

With the Construction and Application of Logarithms Thomas Simpson. : BF ( BE )

, the value of x in the

**first**case , where * 2 + ax = b . Again , radius : co - tang .BAF ( tang . F ) :: BF ( BE ) : AB ( by Theor . 2. ) ; and BE : AB :: AB : BD ( by Cor .

to ...

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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