Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsF. Wingrove, 1799 - 79 sider |
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Resultat 1-5 av 7
Side 40
... logarithm of the natural number agree- ing with any term + e " of the logarithmic pro- greffion 1 , +6 , 1 + el2 , 1 + el3 , 1+ est , & c . will be expreffed by ne . PROPOSITION I. The hyperbolic logarithm ( L ) of a number being gi ...
... logarithm of the natural number agree- ing with any term + e " of the logarithmic pro- greffion 1 , +6 , 1 + el2 , 1 + el3 , 1+ est , & c . will be expreffed by ne . PROPOSITION I. The hyperbolic logarithm ( L ) of a number being gi ...
Side 41
... hyperbolic logarithm of 1 + el " ( or N ) by what has been already specified : therefore 1+ - L2 L ' + + 2 L + 2. E. I. L4 L ' + & c . N. 2.3 2.3.4 2.3.4.5 PROP . II . To determine the hyperbolic logarithm ( L ) of any given number ( N ) ...
... hyperbolic logarithm of 1 + el " ( or N ) by what has been already specified : therefore 1+ - L2 L ' + + 2 L + 2. E. I. L4 L ' + & c . N. 2.3 2.3.4 2.3.4.5 PROP . II . To determine the hyperbolic logarithm ( L ) of any given number ( N ) ...
Side 43
... hyperbolic logarithm of . I I * Which feries , it is manifeft , will always converge , let the value of be ever fo great ; because I X will be always less than unity . But it is further obfervable that this feries has exactly the fame ...
... hyperbolic logarithm of . I I * Which feries , it is manifeft , will always converge , let the value of be ever fo great ; because I X will be always less than unity . But it is further obfervable that this feries has exactly the fame ...
Side 44
... hyperbolic logarithm 3 5 of the respective number . Example . Let it be propofed to find the hyper- bolic logarithm of the number 2 . Herex being 2 -- I > and x = ;;; we 2 fhall have x હું એ સ +7 & c . = , 333333333 & c ...
... hyperbolic logarithm 3 5 of the respective number . Example . Let it be propofed to find the hyper- bolic logarithm of the number 2 . Herex being 2 -- I > and x = ;;; we 2 fhall have x હું એ સ +7 & c . = , 333333333 & c ...
Side 45
... hyperbolic lo- garithm of any other number may be determined ; but , as the feries converges , flower and flower , the higher we go , it is ufual , in computing of tables , to derive the logarithms we would find , by help of others ...
... hyperbolic lo- garithm of any other number may be determined ; but , as the feries converges , flower and flower , the higher we go , it is ufual , in computing of tables , to derive the logarithms we would find , by help of others ...
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Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1810 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1810 |
Vanlige uttrykk og setninger
4th rem ABC+ACB AC by Theor AC-BC AC+BC adjacent angle AF-co-f alfo alfo known alſo angle ACB bafe baſe becauſe bifecting cafe chord circle co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY diameter dius E. D. PROP equal to half excefs faid fame fecant fecond feries fhall fides AC fimilar triangles fines firft firſt fquare fupplement fuppofed garithms gles great-circles half the difference half the fum half the vertical Hence hyperbolic logarithm interfect itſelf laft laſt leffer leg BC likewife LUKE HANSARD moreover oppofite angle pendicular periphery perpendicular plane triangle ABC progreffion propofed proportion radius co-fine refpectively right-angled Spherical triangle right-line ſhall ſpherical triangles ABC tang tangent of half THEOREM theſe thofe thoſe Trigonometry verfed vertical angle whence whofe
Populære avsnitt
Side 3 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Side 30 - U to their difference, fo is the tangent of half the fum of thofe arches, to the tangent of half their difference; and, As the fum of the...
Side 4 - The fine, or right-fine, of an arch, is a right line drawn from one extremity of the arch, perpendicular to the diameter paffing through the other extremity. Thus BF is the fine of the arch AB or DB.
Side 33 - ... fo is the tangent of half the vertical angle, to the tangent of the angle which the perpendicular CD makes with the line CF, bifcding the vertical The Solution of the Cafes of righl-angled fpfierical Triangles, (Fig.
Side 33 - ABC, it will be, as the co -tangent of half the fum of the angles at the bafe, is to the tangent of half their difference, fo is the tangent of half the...
Side 43 - JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers.
Side 5 - BI, the sine of its complement HB. The tangent of an arc, is a right line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity ; which line is called the secant of the same arc : thus AG is the Ungent, and CG the secant of the arc AB.
Side 4 - A chord, or fubtenfe, is a right line drawn from one extremity of an arch to the other ; thus B £ is the chord or fubterife of the arch BAE, orBDE.
Side 13 - The straight line BE between the centre and the extremity of the tangent AE, is called the Secant of the arch AC, or of the angle ABC. COR. to def.