A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 81.
Σελίδα vi
... b = ay General properties of numbers Properties of prime numbers . • Quadratic forms of prime numbers Resolution of ... sin a , cos a , and tan a 101 102 -10 . Formulæ relating to two arcs . 104 11 . Formulæ relating to double arcs 105 12 .
... b = ay General properties of numbers Properties of prime numbers . • Quadratic forms of prime numbers Resolution of ... sin a , cos a , and tan a 101 102 -10 . Formulæ relating to two arcs . 104 11 . Formulæ relating to double arcs 105 12 .
Σελίδα xii
... B sin ... ... COS circumscribed B1 C2 + B2C1 ef ... ( sec x2 ) ( 1 - x ) 2 ... read denominator log .... .... .... a 810 an insert time read sin B .... .... COS Y .... .... .... COS sin inscribed B1 C2 + B , C1 ef ( sec x ) 2 ( 1 − x2 ) ...
... B sin ... ... COS circumscribed B1 C2 + B2C1 ef ... ( sec x2 ) ( 1 - x ) 2 ... read denominator log .... .... .... a 810 an insert time read sin B .... .... COS Y .... .... .... COS sin inscribed B1 C2 + B , C1 ef ( sec x ) 2 ( 1 − x2 ) ...
Σελίδα 103
... b ) = sin a . cos b + cos a . sin b . cos ( a + b ) = cos a . cos b sin a . sin b . tan a + tan b tan ( a + b. ( 8. ) sin a tan a sin a . cot a . 1 — ( sin a ) o ] * . - 1+ ( tan a ) 2 • a cot α- tan cot Ha + tan fa 1 2 ( cosa ) 2 ...
... b ) = sin a . cos b + cos a . sin b . cos ( a + b ) = cos a . cos b sin a . sin b . tan a + tan b tan ( a + b. ( 8. ) sin a tan a sin a . cot a . 1 — ( sin a ) o ] * . - 1+ ( tan a ) 2 • a cot α- tan cot Ha + tan fa 1 2 ( cosa ) 2 ...
Σελίδα 104
... sin ( 45 ° ± b ) ) cot b + cot a cos ( 45 ° —b ) ) = √2 ( cos b ± sin b ) . 1 + tan.b tan ( 45 ° + b ) = tan ( 45 ° +6 ) = tan ( 45 ° + b ) = sin ( a + b ) sin ( a - b ) cos ( a + b ) cos ( a - b ) ... b = cot b + cot a = 104 TRIGONOMETRY .
... sin ( 45 ° ± b ) ) cot b + cot a cos ( 45 ° —b ) ) = √2 ( cos b ± sin b ) . 1 + tan.b tan ( 45 ° + b ) = tan ( 45 ° +6 ) = tan ( 45 ° + b ) = sin ( a + b ) sin ( a - b ) cos ( a + b ) cos ( a - b ) ... b = cot b + cot a = 104 TRIGONOMETRY .
Σελίδα 105
Charles Brooke. tan atan b = cot b + cot a = sin ( a + b ) cos a.cos b sin ( a + b ) sin a . sin b ( sin a ) 2 - ( sin b ) ( cos b ) 2- ( cos a ) ) ( cos a ) 2 - ( sin b ) { ( cos b ) 2 - ( sin a ) 2 tan a tan b = - = cot b - cot a ...
Charles Brooke. tan atan b = cot b + cot a = sin ( a + b ) cos a.cos b sin ( a + b ) sin a . sin b ( sin a ) 2 - ( sin b ) ( cos b ) 2- ( cos a ) ) ( cos a ) 2 - ( sin b ) { ( cos b ) 2 - ( sin a ) 2 tan a tan b = - = cot b - cot a ...
Περιεχόμενα
172 | |
179 | |
184 | |
191 | |
197 | |
204 | |
211 | |
218 | |
74 | |
77 | |
80 | |
88 | |
89 | |
95 | |
101 | |
109 | |
117 | |
143 | |
150 | |
157 | |
163 | |
224 | |
230 | |
236 | |
248 | |
263 | |
271 | |
279 | |
288 | |
305 | |
311 | |
342 | |
348 | |
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...