Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Resultat 1-5 av 5
Side 13
whence it likewife follows , that the tangent of half a right angle is equal to the
radius ; and that the co - tangents of any two different arches ( represented by P
and Q ) are to one another , inversely as the tangents of the same arches : for ,
since ...
whence it likewife follows , that the tangent of half a right angle is equal to the
radius ; and that the co - tangents of any two different arches ( represented by P
and Q ) are to one another , inversely as the tangents of the same arches : for ,
since ...
Side 39
38 , and also follows from article 1 , 4. That , the quotient of the index of any term
of the progression by a given number ( n ) is equal to tbe index of the root of that
term defined by tbe fame number ' ( n ) . Thus ( 2 ) is the index of ( 24 ) the cube ...
38 , and also follows from article 1 , 4. That , the quotient of the index of any term
of the progression by a given number ( n ) is equal to tbe index of the root of that
term defined by tbe fame number ' ( n ) . Thus ( 2 ) is the index of ( 24 ) the cube ...
Side 50
From whence the work , being continued according to Rule 4 and 5 . will stand as
follows : , 000024 26107 excess . 4,25 | 2853031 log : 17900 134 2426107
excess . 287729207 log . 17901 2425973 25839 20 rein . 290155180 log .
From whence the work , being continued according to Rule 4 and 5 . will stand as
follows : , 000024 26107 excess . 4,25 | 2853031 log : 17900 134 2426107
excess . 287729207 log . 17901 2425973 25839 20 rein . 290155180 log .
Side 72
... an arch of 90 ° , or the co - fine of o : and , therefore , since ( by the lemma in p .
30. ) co - fine o + co - fine BC : co - f . o - 0-1 , BC + o BC; and , co2 fine AB + co - f
. AC : co - f . AB - Co - f . AC :: 00AC + AB AC - AB tang: tang . j it follows , by 2 ...
... an arch of 90 ° , or the co - fine of o : and , therefore , since ( by the lemma in p .
30. ) co - fine o + co - fine BC : co - f . o - 0-1 , BC + o BC; and , co2 fine AB + co - f
. AC : co - f . AB - Co - f . AC :: 00AC + AB AC - AB tang: tang . j it follows , by 2 ...
Side 78
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. COROLLARY 1 : Hence , because IR
x V is = the square of the fine of įC ( by Prop . 1. ) it follows that iq .
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. COROLLARY 1 : Hence , because IR
x V is = the square of the fine of įC ( by Prop . 1. ) it follows that iq .
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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 demonſtrated determine diameter difference divided drawn Edition equal equal to half evident exceſs extremes fame fides fine fines firſt follows given gives gles great-circles greater half the difference half the ſum Hence hyperbolic logarithm hypothenuſe known laſt logarithm manifeſt meeting method minute Moreover natural Note oppoſite parallel perpendicular plane triangle ABC preceding PROP proportion propoſed radius reſpectively ſame ſecant ſee ſeries ſhall ſides ſince ſine ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence
Bibliografisk informasjon
| Tittel | Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. Eighteenth century collections online |
| Forfatter | Thomas Simpson |
| Utgave | 5 |
| Utgiver | F. Wingrave, successor to Mr. Nourse, 1799 |
| Original fra | The British Library |
| Digitalisert | 30. sep 2016 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |