Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 6
... Logarithms , .. Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , Raising to Powers by Logarithms ...
... Logarithms , .. Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , Raising to Powers by Logarithms ...
Page 259
... of the perpendicular . This property of the sphere is used in the discussion of triangles in spherical trigonometry . TRIGONOMETRY AND MENSURATION . 1 INTRODUCTION TO TRIGONOMETRY . LOGARITHMS BOOK IX . 259 TRIGONOMETRY.
... of the perpendicular . This property of the sphere is used in the discussion of triangles in spherical trigonometry . TRIGONOMETRY AND MENSURATION . 1 INTRODUCTION TO TRIGONOMETRY . LOGARITHMS BOOK IX . 259 TRIGONOMETRY.
Page 1
From the Works of A. M. Legendre Adrien Marie Legendre. TRIGONOMETRY AND MENSURATION . 1 INTRODUCTION TO TRIGONOMETRY . LOGARITHMS . 1. THE LOGARITHM.
From the Works of A. M. Legendre Adrien Marie Legendre. TRIGONOMETRY AND MENSURATION . 1 INTRODUCTION TO TRIGONOMETRY . LOGARITHMS . 1. THE LOGARITHM.
Page 3
... logarithm of n , which may be expressed thus , x = log n . ( 2. ) 3. From the definition of a logarithm , it follows that , the logarithm of any power of 10 is equal to the exponent of that power : hence the formula , log ( 10 ) ? = p ...
... logarithm of n , which may be expressed thus , x = log n . ( 2. ) 3. From the definition of a logarithm , it follows that , the logarithm of any power of 10 is equal to the exponent of that power : hence the formula , log ( 10 ) ? = p ...
Page 4
... logarithm is called the characteristic , the decimal part , is called the mantissa . 4. If , in Equation ( 3 ) , we ... logarithm lies between 0 and 1 , that is , it is equal to 0 plus a deci- mal ; if a number lies between 10 and 100 ...
... logarithm is called the characteristic , the decimal part , is called the mantissa . 4. If , in Equation ( 3 ) , we ... logarithm lies between 0 and 1 , that is , it is equal to 0 plus a deci- mal ; if a number lies between 10 and 100 ...
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ABĀ² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following