Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsJ. Nourse, 1748 - 77 sider |
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Resultat 1-5 av 13
Side 1
... determined . In order to which , it is not only requifite that the Peripheries of Circles , but alfo certain Right - lines in , and about , the Circle , be fup- pofed divided into fome affigned Number of equal Parts . 2. The Periphery ...
... determined . In order to which , it is not only requifite that the Peripheries of Circles , but alfo certain Right - lines in , and about , the Circle , be fup- pofed divided into fome affigned Number of equal Parts . 2. The Periphery ...
Side 7
... 'd by Aftronomers in determining the Elongation and Parallaxes of the Planets ( being beft adapted to Logarithms ) ; for which Reafon it is here given . The B 4 B Given The Solutions of the Cafes of right - Plane Trigonometry . 7.
... 'd by Aftronomers in determining the Elongation and Parallaxes of the Planets ( being beft adapted to Logarithms ) ; for which Reafon it is here given . The B 4 B Given The Solutions of the Cafes of right - Plane Trigonometry . 7.
Side 14
... determined ( from which the Sines of other Arches may be derived with the fame Degree of Exactnefs ) ; then let the Opperations , in p . 139 , be continued to II Bifections , and a greater Number of Decimals be taken ; by which Means ...
... determined ( from which the Sines of other Arches may be derived with the fame Degree of Exactnefs ) ; then let the Opperations , in p . 139 , be continued to II Bifections , and a greater Number of Decimals be taken ; by which Means ...
Side 16
... determined ( by Theor . 1. p . 13. ) and that to any affigned Degree of Exactnefs . The Sines of all the Terms of the Progreffion 45 ′ , 1 ° 30 ′ , 2 ° 15 ' , & c . up to 60 ° , being thus de- rived , the next thing is to find , by Help ...
... determined ( by Theor . 1. p . 13. ) and that to any affigned Degree of Exactnefs . The Sines of all the Terms of the Progreffion 45 ′ , 1 ° 30 ′ , 2 ° 15 ' , & c . up to 60 ° , being thus de- rived , the next thing is to find , by Help ...
Side 33
... , The oth , 11th and 12th Cafes are ambiguous ; fince it cannot be determined , by the Data , whether AB , C , and AC , be greater or less than 90 Degrees each . D The C E D B B The Solution of the Cafes Spherical Trigonometry . 33.
... , The oth , 11th and 12th Cafes are ambiguous ; fince it cannot be determined , by the Data , whether AB , C , and AC , be greater or less than 90 Degrees each . D The C E D B B The Solution of the Cafes Spherical Trigonometry . 33.
Andre utgaver - Vis alle
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
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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...