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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 80.
Σελίδα vi
... Sine , & c . , of an Arc or Angle , 274 To Find the Degrees , & c . , Answering to a Given Logarithmic Sine , & c . , 276 Theorems , ... Solution of Triangles , - Solution of Right - Angled Triangles , - Application to Heights and ...
... Sine , & c . , of an Arc or Angle , 274 To Find the Degrees , & c . , Answering to a Given Logarithmic Sine , & c . , 276 Theorems , ... Solution of Triangles , - Solution of Right - Angled Triangles , - Application to Heights and ...
Σελίδα vii
... Sine , - - - - Relations of Circular Functions , .. Table I. , of Formulas , Algebraic Signs of the Functions ,. Table II . , of Formulas ,. General Formulas ,. Homogeneity of Terms ,. Formulas for Triangles , ... Construction of ...
... Sine , - - - - Relations of Circular Functions , .. Table I. , of Formulas , Algebraic Signs of the Functions ,. Table II . , of Formulas ,. General Formulas ,. Homogeneity of Terms ,. Formulas for Triangles , ... Construction of ...
Σελίδα 272
... sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity . Thus , BD is the sine of the arc AB . 8. The cosine of an arc is the part of the diameter in ...
... sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity . Thus , BD is the sine of the arc AB . 8. The cosine of an arc is the part of the diameter in ...
Σελίδα 273
... sine will be FH ; OH will be its 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 ...
... sine will be FH ; OH will be its 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 ...
Σελίδα 274
... sine , cosine , tangent , or cotangent , as the case may be : the number so indicated is the logarithm sought . Thus , on page 37 , for 19 ° 55 ' , we find , sine 19 ° 55 ' 9.532312 cos 19 ° 55 ' 9.973215 • tan 19 ° 55 ' 9.559097 ...
... sine , cosine , tangent , or cotangent , as the case may be : the number so indicated is the logarithm sought . Thus , on page 37 , for 19 ° 55 ' , we find , sine 19 ° 55 ' 9.532312 cos 19 ° 55 ' 9.973215 • tan 19 ° 55 ' 9.559097 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 27 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 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.
Σελίδα 26 - The sum of any two sides of a triangle is greater than the third side.
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 93 - The area of a parallelogram is equal to the product of its base and altitude.
Σελίδα 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 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.
Σελίδα 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.