Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsJ. Nourse, 1748 - 77 sider |
Inni boken
Resultat 1-5 av 9
Side 2
... Center , which it fub- A tends . D C E Note , The Degrees , Minutes , Seconds , & c . contained in any Arch , or Angle , are wrote in this Manner , 50 ° 18 ′ 35 " , which fignifies that the given Arch , or Angle , con- tains 52 Degrees ...
... Center , which it fub- A tends . D C E Note , The Degrees , Minutes , Seconds , & c . contained in any Arch , or Angle , are wrote in this Manner , 50 ° 18 ′ 35 " , which fignifies that the given Arch , or Angle , con- tains 52 Degrees ...
Side 3
... Center and the other Extremity . Thus AG is the Tangent of the Arch AB . 10. The Secant of an Arch is a Right - line reaching , without the Circle , from the Center to the Extremity of the Tangent . Thus CG is the Se- cant of AB . 11 ...
... Center and the other Extremity . Thus AG is the Tangent of the Arch AB . 10. The Secant of an Arch is a Right - line reaching , without the Circle , from the Center to the Extremity of the Tangent . Thus CG is the Se- cant of AB . 11 ...
Side 6
... Center A , with the Radius AB , let a Circle be defcri- bed , interfecting ÇA produced , inD and F ; fo that CF may exprefs the Sum , and CD the Difference , of the Sides AC and AB : Join F , B and B , D , and draw DE parallel to FB ...
... Center A , with the Radius AB , let a Circle be defcri- bed , interfecting ÇA produced , inD and F ; fo that CF may exprefs the Sum , and CD the Difference , of the Sides AC and AB : Join F , B and B , D , and draw DE parallel to FB ...
Side 21
... Center 2 : The Axis of a Great - Circle is a Right - line paffing thro ' the Center , perpendicular to the Plane of the Circle : And the two Points , where the Axis interfects the Surface of the Sphere , are call'd the Poles of the ...
... Center 2 : The Axis of a Great - Circle is a Right - line paffing thro ' the Center , perpendicular to the Plane of the Circle : And the two Points , where the Axis interfects the Surface of the Sphere , are call'd the Poles of the ...
Side 22
... Center ) will be a Diameter of the Sphere ; and confe- quently , that their Peripheries will always interfect each other in two Points at the Distance of a Semi- circle , or 180 Degrees . 2. It also appears ( from Def . 2. ) that all ...
... Center ) will be a Diameter of the Sphere ; and confe- quently , that their Peripheries will always interfect each other in two Points at the Distance of a Semi- circle , or 180 Degrees . 2. It also appears ( from Def . 2. ) that all ...
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...