A Course of Mathematics: Composed for the Use of the Royal Military Academy |
From inside the book
Results 1-5 of 36
Page
... Logarithms , 293 Interest and Annuities , 300 GEOMETRY . Definitions , 311 Axioms , 316 Theorems , ib . Problems , 356 Application of Algebra to Geometry , 371 Problems on Maxima and Minima , 376 CONIC SECTIONS . Parabola , Ellipse ...
... Logarithms , 293 Interest and Annuities , 300 GEOMETRY . Definitions , 311 Axioms , 316 Theorems , ib . Problems , 356 Application of Algebra to Geometry , 371 Problems on Maxima and Minima , 376 CONIC SECTIONS . Parabola , Ellipse ...
Page 292
... .......... 10 a 5 b 3 c • = 2520 a 5 b 3 c 2 • 1 2.3.4.5 X 1.2 • 3 X 1.2 and the same number 2520 will be the coefficient of the terms , a3 b2 c3 , a2b3 , c5 & c . LOGARITHMS . 196. WE have given , in our Arithmetic 292 ALGEBRA .
... .......... 10 a 5 b 3 c • = 2520 a 5 b 3 c 2 • 1 2.3.4.5 X 1.2 • 3 X 1.2 and the same number 2520 will be the coefficient of the terms , a3 b2 c3 , a2b3 , c5 & c . LOGARITHMS . 196. WE have given , in our Arithmetic 292 ALGEBRA .
Page 293
... logarithms , N any number , and ≈ such that N = a * then x is called the logarithm of N in the system whose base is a . 66 The base of the common system of logarithms , ( called from their inventor Briggs's Logarithms " ) , is the ...
... logarithms , N any number , and ≈ such that N = a * then x is called the logarithm of N in the system whose base is a . 66 The base of the common system of logarithms , ( called from their inventor Briggs's Logarithms " ) , is the ...
Page 294
... logarithm of 1 is 0 , conse- quently , if we wish to extend the application of logarithms to fractions , we must establish a convention by which the logarithms of numbers less than 1 may be re- presented by numbers less than zero , i ...
... logarithm of 1 is 0 , conse- quently , if we wish to extend the application of logarithms to fractions , we must establish a convention by which the logarithms of numbers less than 1 may be re- presented by numbers less than zero , i ...
Page 295
... logarithm of N N ' , that is to say , The logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors . II . Divide equation ( 1 ) by ( 2 ) , N N ' x a X / a = -x1 .. by definition , x - r is ...
... logarithm of N N ' , that is to say , The logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors . II . Divide equation ( 1 ) by ( 2 ) , N N ' x a X / a = -x1 .. by definition , x - r is ...
Other editions - View all
Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards