A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 101
... vers a = 1 - cos a . covers a 1- sin a . = suvers a = 1 + cos a . ( L. 35. ) ( 5. ) The sine is positive in the first and second quadrants , and negative in the third , and fourth ; the cosine is positive in the first and fourth , and ...
... vers a = 1 - cos a . covers a 1- sin a . = suvers a = 1 + cos a . ( L. 35. ) ( 5. ) The sine is positive in the first and second quadrants , and negative in the third , and fourth ; the cosine is positive in the first and fourth , and ...
Σελίδα 111
... vers C ; ( a - b ) 2 * log Tan 0 = 1 { log 2 + log a + log b + log Vers C + log r } −log ( a — b ) ; then c = a b - cos Ꮎ log c = log ( a - b ) + log r ― log Cos 0 . or assume ( sin 0 ) 2 = 2 ab ( a + b ) 2 · ( 1 + cos C ) , log Sin0 ...
... vers C ; ( a - b ) 2 * log Tan 0 = 1 { log 2 + log a + log b + log Vers C + log r } −log ( a — b ) ; then c = a b - cos Ꮎ log c = log ( a - b ) + log r ― log Cos 0 . or assume ( sin 0 ) 2 = 2 ab ( a + b ) 2 · ( 1 + cos C ) , log Sin0 ...
Σελίδα 123
... vers C. sin a . sin b.vers C Assume ( tan 0 ) 2 : = vers ( a - b ) log Tan 0 = { log Sina + log Sin b + log Vers C - log Vers ( a — b ) } . then 2 ( sin c ) vers ( a - b ) . ( sec ) 2 ; = log Sin clog Sec 0+ { log Vers ( a - b ) - logr ...
... vers C. sin a . sin b.vers C Assume ( tan 0 ) 2 : = vers ( a - b ) log Tan 0 = { log Sina + log Sin b + log Vers C - log Vers ( a — b ) } . then 2 ( sin c ) vers ( a - b ) . ( sec ) 2 ; = log Sin clog Sec 0+ { log Vers ( a - b ) - logr ...
Σελίδα 125
... vers c.sin A.sin B. Assume ( tan 0 ) 2 : = vers c . sin A. sin B 2 ( cos . A + B ) 2 ; log Tan 0 = { log Vers c + log Sin A + log Sin B + log r — log 2 } -log Cos ( A + B ) : then sin C = cos ( A + B ) . sec 0 ; log Sin Clog Cos ( A + B ) ...
... vers c.sin A.sin B. Assume ( tan 0 ) 2 : = vers c . sin A. sin B 2 ( cos . A + B ) 2 ; log Tan 0 = { log Vers c + log Sin A + log Sin B + log r — log 2 } -log Cos ( A + B ) : then sin C = cos ( A + B ) . sec 0 ; log Sin Clog Cos ( A + B ) ...
Σελίδα 129
... vers COS KIN π 00 = 2 sec - 1x = 124 π cosec - 1x . − 1x = ( 2x ) * . { 1 + sin - 1x . 1 3.4 1.2 cot - 1x = -1 1 00 1.3 · + 5.42 П 2.4.6 77 + & c . x2 1.3.5 003 - + & c . } 1.2.3 7.43 + & c . tan - 1x . ∞ p2m - 3. Sπ a cotx = S , ( -1 ) ...
... vers COS KIN π 00 = 2 sec - 1x = 124 π cosec - 1x . − 1x = ( 2x ) * . { 1 + sin - 1x . 1 3.4 1.2 cot - 1x = -1 1 00 1.3 · + 5.42 П 2.4.6 77 + & c . x2 1.3.5 003 - + & c . } 1.2.3 7.43 + & c . tan - 1x . ∞ p2m - 3. Sπ a cotx = S , ( -1 ) ...
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Άλλες εκδόσεις - Προβολή όλων
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...