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
... 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 , Extraction of Roots ...
... 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 , Extraction of Roots ...
Page 4
... RULE . The characteristic of the logarithm of an entire number is positive , and numerically 1 less than the number of places of figures in the given number . - - 1 If a decimal fraction lies between 1 and 1 , its loga ithm lies between ...
... RULE . The characteristic of the logarithm of an entire number is positive , and numerically 1 less than the number of places of figures in the given number . - - 1 If a decimal fraction lies between 1 and 1 , its loga ithm lies between ...
Page 5
... RULE . The characteristic of the logarithm of a decimal fraction is negative , and numerically 1 greater than the number of O's that immediately follow the decimal point . The characteristic alone is negative , the mantissa being always ...
... RULE . The characteristic of the logarithm of a decimal fraction is negative , and numerically 1 greater than the number of O's that immediately follow the decimal point . The characteristic alone is negative , the mantissa being always ...
Page 7
... rules of Art . 4 . Before explaining the use of the table , it is to be shown that the mantissa of the logarithm of any number is not changed by multiplying or dividing the number by any exact power of 10 . Let n represent any number ...
... rules of Art . 4 . Before explaining the use of the table , it is to be shown that the mantissa of the logarithm of any number is not changed by multiplying or dividing the number by any exact power of 10 . Let n represent any number ...
Page 8
... rule of Art . 4 . To find the mantissa , look in the column headed " N , " r the first three figures of the number ; then pass along a horizontal line until you come to the column headed with the fourth figure of the number ; at this ...
... rule of Art . 4 . To find the mantissa , look in the column headed " N , " r the first three figures of the number ; then pass along a horizontal line until you come to the column headed with the fourth figure of the number ; at this ...
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence