Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsJ. Nourse, 1748 - 77 sider |
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Resultat 6-10 av 12
Side 19
... gives , 00000007298 , & c . or , 0000000730 , nearly , for the first Product ( which is exact enough for our Purpose ) ; therefore the 2d Pro- duct , or , 0000000730 x 22 , will be , 0000016060 ; which , added to of the Difference , gives ...
... gives , 00000007298 , & c . or , 0000000730 , nearly , for the first Product ( which is exact enough for our Purpose ) ; therefore the 2d Pro- duct , or , 0000000730 x 22 , will be , 0000016060 ; which , added to of the Difference , gives ...
Side 40
... give , here , the Invention of other Methods , which Authors have had recourfe to , in order to obtain a Series that will always converge . First , then , let the Number whofe Loga- rithm you would find be denoted by I where it is ...
... give , here , the Invention of other Methods , which Authors have had recourfe to , in order to obtain a Series that will always converge . First , then , let the Number whofe Loga- rithm you would find be denoted by I where it is ...
Side 42
... give the hyperbolic Logarithm of the refpective Number . Example . Let it be proposed to find the hyper- bolic Logarithm of the Number 2 . Here x being = fhall have 2- I , and x2 ; we 2 + I - * ( = } ) = , 333333333 & c . x2 ( = x ) ...
... give the hyperbolic Logarithm of the refpective Number . Example . Let it be proposed to find the hyper- bolic Logarithm of the Number 2 . Here x being = fhall have 2- I , and x2 ; we 2 + I - * ( = } ) = , 333333333 & c . x2 ( = x ) ...
Side 48
... gives , 00002426107 for the Excefs of the Lo- garithm of A + 1 above that of A ( by Rule 3. ) From whence the Work , being continued according to Rule 4 and 5 , will stand as follows . 00002426107 Excess . Log . 17900 287729207 Log ...
... gives , 00002426107 for the Excefs of the Lo- garithm of A + 1 above that of A ( by Rule 3. ) From whence the Work , being continued according to Rule 4 and 5 , will stand as follows . 00002426107 Excess . Log . 17900 287729207 Log ...
Side 50
... the half Sum of the Angles C and B , gives the greater C 80 ° ; and fubtracted therefrom , leaves the leffer B 52 ° . Laftly , Laftly , in the right- angled fpherical Triangle ABC , 30 The Application of Logarithms .
... the half Sum of the Angles C and B , gives the greater C 80 ° ; and fubtracted therefrom , leaves the leffer B 52 ° . Laftly , Laftly , in the right- angled fpherical Triangle ABC , 30 The Application of Logarithms .
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Trigonometry, Plane and Spherical;: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Vanlige uttrykk og setninger
AB by Theor ABC-ACB AC by Theor AC-BC adjacent Angle alfo known alſo Arch Baſe becauſe bifecting Cafe Chord Circle Co-f Co-fine AC Co-tangent of half common Logarithm confequently Corol COROLLARY demonftrated Diameter equal to Half Excefs fame fhall fince find the Sine firft firſt fubtracted fuppofed garithms given gles Great-Circles half the Bafe half the Difference Half the Sum half the vertical hyperbolic Logarithm Hypothenufe interfect itſelf laft laſt Leg BC likewife Moreover muſt oppofite Angle pendicular perpendicular plane Triangle ABC Progreffion propofed Radius Rectangle refpectively right-angled Spherical Triangle Right-line Secant ſhall Sides AC Sine 59 Sine BCD Sine of half Spherical Triangle ABC Tang Tangent of Half Terms THEOREM thofe Trigonometry Verfed Sine vertical Angle whence whofe
Populære avsnitt
Side 1 - 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 3 - Canon, is a table showing the length of the sine, tangent, and secant, to every degree and minute of the quadrant, with respect to the radius, which is expressed by unity or 1, with any number of ciphers.
Side 6 - In every plane triangle, it will be, as the sum of any two sides is to their difference...
Side 41 - 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 13 - If the sine of the mean of three equidifferent arcs' dius being unity) be multiplied into twice the cosine of the common difference, and the sine of either extreme be deducted from the product, the remainder will be the sine of the other extreme. (B.) The sine of any arc above 60°, is equal to the sine of another arc as much below 60°, together with the sine of its excess above 60°. Remark. From this latter proposition, the sines below 60° being known, those of arcs above 60° are determinable...
Side 31 - ... is the tangent of half the vertical angle to the tangent of the angle which the perpendicular CD makes with the line CF, bisecting the vertical angle.
Side 73 - BD, is to their Difference ; fo is the Tangent of half the Sum of the Angles BDC and BCD, to the Tangent of half their Difference.
Side 28 - As the sum of the sines of two unequal arches is to their difference, so is the tangent of half the sum of those arches to the tangent of half their difference : and as the sum...
Side 68 - In any right lined triangle, having two unequal sides ; as the less of those sides is to the greater, so is radius to the tangent of an angle ; and as radius is to the tangent of the excess of...