Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Resultat 1-5 av 5
Side 4
A chord , or subtense , is a right - line drawn from one extremity of an arch to the
other : thus the right line BE is the chord , or subtense , of the arch BAE or BDE . 6
. The fine , or right - sine , of an arch , is a right - line drawn from one extremity of ...
A chord , or subtense , is a right - line drawn from one extremity of an arch to the
other : thus the right line BE is the chord , or subtense , of the arch BAE or BDE . 6
. The fine , or right - sine , of an arch , is a right - line drawn from one extremity of ...
Side 14
... to CF , meeting AO in n ; and BH and mu , AE Fn G 0 parallel : toAO meeting
DG in H and v . Then , the arches BC and CD being equal to each other ( by
hypothesis ) , OC is not only perpendicular to the chord BD , but also bifects it ( by
1.
... to CF , meeting AO in n ; and BH and mu , AE Fn G 0 parallel : toAO meeting
DG in H and v . Then , the arches BC and CD being equal to each other ( by
hypothesis ) , OC is not only perpendicular to the chord BD , but also bifects it ( by
1.
Side 16
181. of the Elements , that the length of the chord of 75 % of the femi - periphery
is expressed by , 00818121 ( radius being unity ) ; therefore , as the chords of
very small arches are to each other nearly as the arches themselves ( vid . P. 181
. ) ...
181. of the Elements , that the length of the chord of 75 % of the femi - periphery
is expressed by , 00818121 ( radius being unity ) ; therefore , as the chords of
very small arches are to each other nearly as the arches themselves ( vid . P. 181
. ) ...
Side 17
... but in many other respects . First , then , from the co - line of 15 ' , which is given
( by p . 181 of the Elements ) = * V2 tv 3 = , 965925826 , & c . ( = the supplement
chord cf 30 ° ) and the fine of 18 ° , which is = IV- = с 2309017 , 2309017 , & c .
... but in many other respects . First , then , from the co - line of 15 ' , which is given
( by p . 181 of the Elements ) = * V2 tv 3 = , 965925826 , & c . ( = the supplement
chord cf 30 ° ) and the fine of 18 ° , which is = IV- = с 2309017 , 2309017 , & c .
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 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
...
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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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