Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S.F. Wingrave, successor to Mr. Nourse, 1799 - 79 sider |
Inni boken
Resultat 1-5 av 11
Side 5
... unity , and conceived to be divided into 10000 , or more , decimal parts . By the help of this table , and the doctrine of fimilar triangles , the whole bufinefs of trigonometry is performed ; which I fhall now proceed to fhew . But ...
... unity , and conceived to be divided into 10000 , or more , decimal parts . By the help of this table , and the doctrine of fimilar triangles , the whole bufinefs of trigonometry is performed ; which I fhall now proceed to fhew . But ...
Side 15
... unity ) be multiplied by twice the co - fine of the common difference , and the fine of either extreme be fubtracted from the product , the remainder will be the fine of the other extreme . 2. The fine of any arch , above 60 degrees ...
... unity ) be multiplied by twice the co - fine of the common difference , and the fine of either extreme be fubtracted from the product , the remainder will be the fine of the other extreme . 2. The fine of any arch , above 60 degrees ...
Side 16
... unity ) ; therefore , as the chords of very finall arches are to each other nearly as the arches themfelves ( vid . p . 181. ) we shall have , as : , 00818121 : , 008726624 , the chord of , or half a degree ; whofe half , or , 004363312 ...
... unity ) ; therefore , as the chords of very finall arches are to each other nearly as the arches themfelves ( vid . p . 181. ) we shall have , as : , 00818121 : , 008726624 , the chord of , or half a degree ; whofe half , or , 004363312 ...
Side 18
... two arches ( fuppofing radius unity ) , is found by adding the product of their fines to that of their co - fines ; as is hereafter demonstrated . 3 2o . From , 2 ° . From this excefs let the firft 18 Construction of the Table.
... two arches ( fuppofing radius unity ) , is found by adding the product of their fines to that of their co - fines ; as is hereafter demonstrated . 3 2o . From , 2 ° . From this excefs let the firft 18 Construction of the Table.
Side 38
... unity , and common ratio any given quantity a . Then it is manifest , 1. That , the fum of the indices of any two terms of the progreffion is equal to the index of the product of thofe terms . Thus 2 + 3 ( 5 ) is the index of a'xa ...
... unity , and common ratio any given quantity a . Then it is manifest , 1. That , the fum of the indices of any two terms of the progreffion is equal to the index of the product of thofe terms . Thus 2 + 3 ( 5 ) is the index of a'xa ...
Vanlige uttrykk og setninger
5th rem AB by Theor AC by Theor AC-BC AC+BC adjacent angle alfo alfo known alfo let alſo arch bafe baſe becauſe bifecting cafe chord circle co-f co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY diameter dius equal to half excefs fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gles great-circles half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect laft leffer leg BC likewife LUKE HANSARD moreover oppofite angle pendicular perpendicular plane triangle ABC progreffion PROP propofed proportion radius reafon refpectively right-angled spherical triangle right-line ſhall ſphere tang tangent of half THEOREM theſe thofe Trigonometry verfed vertical angle whence whofe