A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα xii
... log .... .... .... a 810 an insert time read sin B .... .... COS Y .... .... .... COS sin inscribed B1 C2 + B , C1 ef ( sec x ) 2 ( 1 − x2 ) 52 6 98 14 119 two last 131 13 14 154 15 181 9 ... 195 13 21 196 1 , Note ... m in the ...
... log .... .... .... a 810 an insert time read sin B .... .... COS Y .... .... .... COS sin inscribed B1 C2 + B , C1 ef ( sec x ) 2 ( 1 − x2 ) 52 6 98 14 119 two last 131 13 14 154 15 181 9 ... 195 13 21 196 1 , Note ... m in the ...
Σελίδα 13
Charles Brooke. ( α1 , αn r ) ; ( a ,, r , s ) ; 8 = n = n = ran - a1 r - 1 log a - log a1 log r a1 + ( r − 1 ) s 2 ° +1 . a log ( a1 + r - 1.s ) — log a1 8- a1 log r - ( a1 , an 8 ) ; S an n = log an― log a1 log ( s - a1 ) -log ( s - a ) ...
Charles Brooke. ( α1 , αn r ) ; ( a ,, r , s ) ; 8 = n = n = ran - a1 r - 1 log a - log a1 log r a1 + ( r − 1 ) s 2 ° +1 . a log ( a1 + r - 1.s ) — log a1 8- a1 log r - ( a1 , an 8 ) ; S an n = log an― log a1 log ( s - a1 ) -log ( s - a ) ...
Σελίδα 22
... logarithm of a to any base ; loga , the logarithm of x to the base a . α loga = x . log x + log y = log xy . n a If Smam - 1 -1 xm- = Smbm - 1 xm - 1 , am - 1 = bm - 1 . This is only a particular case of the following more general ...
... logarithm of a to any base ; loga , the logarithm of x to the base a . α loga = x . log x + log y = log xy . n a If Smam - 1 -1 xm- = Smbm - 1 xm - 1 , am - 1 = bm - 1 . This is only a particular case of the following more general ...
Σελίδα 23
Charles Brooke. Either of these equations may be taken as the definition of a logarithm : the former is most usually ... Log a = 1 . a log 1 = 0.6 a * b * .log loga x log , x = loga b logab.log , a = 1 . log x1 + log x2 + log x , + & c ...
Charles Brooke. Either of these equations may be taken as the definition of a logarithm : the former is most usually ... Log a = 1 . a log 1 = 0.6 a * b * .log loga x log , x = loga b logab.log , a = 1 . log x1 + log x2 + log x , + & c ...
Σελίδα 24
... ” — 1 . В - Y logax = 1 log , a m = ( x - 1 ) m Šm ( − 1 ) m − 1 ( x − 1 ) m 3 a * = §m ( log , a.x ) m — 1 δ E Ө ∞ e * = S. - S m m m xm - 1 - m 1 1 m 1 . 1 m ( Bour . Appendix . ) log 10 x = log , x log , 10 24 ALGEBRA .
... ” — 1 . В - Y logax = 1 log , a m = ( x - 1 ) m Šm ( − 1 ) m − 1 ( x − 1 ) m 3 a * = §m ( log , a.x ) m — 1 δ E Ө ∞ e * = S. - S m m m xm - 1 - m 1 1 m 1 . 1 m ( Bour . Appendix . ) log 10 x = log , x log , 10 24 ALGEBRA .
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A Synopsis of the Principal Formulae and Results of Pure Mathematics ... Charles Brooke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Synopsis of the Principal Formulae and Results of Pure Mathematics Charles Brooke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a-log a.sin a₁ a² a² angle arcs Assume ax² axis ay² B.cos B.sin b₁ Biot Bour c₁ centre circle co-ordinates conjugate diameters const continued fraction converging fraction cosec cosine curve cx² determined differential coefficients e₁ ellipse formula functions G. G. A. Ch given equation hyperbola integral intersection Let the equation log Cot log Sin log Sin Blog logarithmic m₁ method modulus negative obtained parabola perpendicular plane possible root prime number primitive equation quadratic divisor quadratic equation quotients R₁ radius reduced remainders sin x sine solution square straight line substituting subtangent Suppose surface tana tangent ternary divisor ternary form theorem triangle u₁ unknown quantities values vers x₁ y-y₁ y₁ απ
Δημοφιλή αποσπάσματα
Σελίδα 112 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Σελίδα 4 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 4 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Σελίδα 347 - Si, the formula assigned by Thomson to the mineral from Ireland, named " Anhydrous silicate of iron." Now, this slag had evidently been in a position favourable to the absorption of oxygen, namely, the...
Σελίδα 4 - To reduce a fraction to its lowest terms, divide both the numerator and denominator by their greatest common divisor.
Σελίδα 4 - The same quantity may be added to, or subtracted from, both sides of an equation. To...
Σελίδα 343 - The immutability, no less than the symmetry of its notation, (which should ever be guarded with a jealousy commensurate to its vital importance,) facilitates the translation of an expression into common language at any stage of an operation, - disburdens the memory of all the load of the previous steps, - and at the same time, affords it a considerable assistance in retaining the results.
Σελίδα 46 - These criteria were derived by a new transformation, namely the one which yields an equation whose roots are the squares of the differences of the roots of the given...
Σελίδα 161 - Straight line and circle. A straight line cannot cut a circle in more than two points. In fact, an unlimited straight line may (i) cut a circle in two points, eg AB or CD in fig.
Σελίδα 2 - Tiie square root of a quantity cannot be partly rational and partly a quadratic surd. If possible, let...