Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 Seiten |
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Seite 272
... cosine of an arc is the part of the diameter in- tercepted between the foot of the sine and the centre . Thus , OD is the cosine of the arc AB . 9. The tangent of an arc is the line which touches it at one extremity , and is limited by ...
... cosine of an arc is the part of the diameter in- tercepted between the foot of the sine and the centre . Thus , OD is the cosine of the arc AB . 9. The tangent of an arc is the line which touches it at one extremity , and is limited by ...
Seite 273
... cosine ; AQ its tangent , and 0Q its secant . But FH is the sine of the arc GF which is the supplement of AF , and OH is its cosine ; hence , the sine of an arc is equal to the sine of its supplement ; and the cosine of an L C N E T B F ...
... cosine ; AQ its tangent , and 0Q its secant . But FH is the sine of the arc GF which is the supplement of AF , and OH is its cosine ; hence , the sine of an arc is equal to the sine of its supplement ; and the cosine of an L C N E T B F ...
Seite 274
... cosine , tangent , or cotangent of any given arc or angle . 16. If the angle is less than 45 ° , look for the degrees in the first horizontal line of the different pages : when the degrees are found , descend along the column of minutes ...
... cosine , tangent , or cotangent of any given arc or angle . 16. If the angle is less than 45 ° , look for the degrees in the first horizontal line of the different pages : when the degrees are found , descend along the column of minutes ...
Seite 275
... cosine , at the bottom ; cosine with sine , tang with cotang , and cotang with tang , as in the tables ( Art . 12 ) . If the angle is greater than 90 ° , we have only to sub trac it from 180 ° , and take the sine , cosine , tangent , or ...
... cosine , at the bottom ; cosine with sine , tang with cotang , and cotang with tang , as in the tables ( Art . 12 ) . If the angle is greater than 90 ° , we have only to sub trac it from 180 ° , and take the sine , cosine , tangent , or ...
Seite 276
... cosine of 3 ° 40 ′ 40 ′′ . The cosine of 3 ° 40 ' Tabular difference .13 9.999110 · Number of seconds 40 Product , 5.20 to be subtracted 5.20 Gives for the cosine of 3 ° 40 ′ 40 ′′ 9.999105 . 2. Find the tangent of 37 ° 28 ′ 31 ′′ . 3 ...
... cosine of 3 ° 40 ′ 40 ′′ . The cosine of 3 ° 40 ' Tabular difference .13 9.999110 · Number of seconds 40 Product , 5.20 to be subtracted 5.20 Gives for the cosine of 3 ° 40 ′ 40 ′′ 9.999105 . 2. Find the tangent of 37 ° 28 ′ 31 ′′ . 3 ...
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Häufige Begriffe und Wortgruppen
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Beliebte Passagen
Seite 27 - If two triangles have two sides of the one equal to two sides of the...
Seite 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Seite 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Seite 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Seite 26 - The sum of any two sides of a triangle is greater than the third side.
Seite 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Seite 93 - The area of a parallelogram is equal to the product of its base and altitude.
Seite 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Seite 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Seite 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.