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 4
... mantissa . 4. If , in Equation ( 3 ) , we make p successively equal to 0 , 1 , 2 , 3 , & c . , and also equal to & c . , we may form the following TABLE . d – 0 , --- - 1 , 2 , - - 3 , log 1 = 0 log 10 = 1 log 100 = 2 log 1000 = 3 & c ...
... mantissa . 4. If , in Equation ( 3 ) , we make p successively equal to 0 , 1 , 2 , 3 , & c . , and also equal to & c . , we may form the following TABLE . d – 0 , --- - 1 , 2 , - - 3 , log 1 = 0 log 10 = 1 log 100 = 2 log 1000 = 3 & c ...
Page 5
... mantissa being always positive . This fact is indicated by writing the neg- ative sign over the characteristic : thus , 2.371465 , is equiv . alent to 2 + .371465 . - 1 It is to be observed , that the characteristic cf the logarithm of ...
... mantissa being always positive . This fact is indicated by writing the neg- ative sign over the characteristic : thus , 2.371465 , is equiv . alent to 2 + .371465 . - 1 It is to be observed , that the characteristic cf the logarithm of ...
Page 7
... mantissas alone are given ; the characteristic may be found by one of the 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 ...
... mantissas alone are given ; the characteristic may be found by one of the 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 ...
Page
... mantissa , place a decimal point after the fourth figure ( Art . 9 ) , thus converting the number into a mixed number . Find the mantissa of the entire part , by the me- thod last given . Then take from the column headed " D , " the ...
... mantissa , place a decimal point after the fourth figure ( Art . 9 ) , thus converting the number into a mixed number . Find the mantissa of the entire part , by the me- thod last given . Then take from the column headed " D , " the ...
Page
... mantissa , drop the decimal point , thus reduc- ng the decimal to a whole number . Find the mantissa of the logarithm of this number , and it will be the mantissa required . Thus , = log .0327 2.514548 log 378.024 = 2.577520 5o . To ...
... mantissa , drop the decimal point , thus reduc- ng the decimal to a whole number . Find the mantissa of the logarithm of this number , and it will be the mantissa required . Thus , = log .0327 2.514548 log 378.024 = 2.577520 5o . To ...
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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