Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page vi
... 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 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 ...
Page 5
... logarithm of a mixed number is the same as that of its entire part . Thus , the mixed number 74.103 , lies between 10 and 100 ; hence , its logarithm lies between 1 and 2 , as does the logarithm of 74 . GENERAL PRINCIPLES . 5. Let m and ...
... logarithm of a mixed number is the same as that of its entire part . Thus , the mixed number 74.103 , lies between 10 and 100 ; hence , its logarithm lies between 1 and 2 , as does the logarithm of 74 . GENERAL PRINCIPLES . 5. Let m and ...
Page 7
... logarithms , so arranged , that having given any one of the numbers , we can find its logarithm ; or , having the logarithm , we can find the corresponding number . In the table appended , the complete logarithm is given for all numbers ...
... logarithms , so arranged , that having given any one of the numbers , we can find its logarithm ; or , having the logarithm , we can find the corresponding number . In the table appended , the complete logarithm is given for all numbers ...
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Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence