A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα vi
... TRIGONOMETRY . 1 , 2 . Divisions of the circle • 100 3-6 . 7-9 . Relations of the trigonometrical lines . Values 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 . 13 ...
... TRIGONOMETRY . 1 , 2 . Divisions of the circle • 100 3-6 . 7-9 . Relations of the trigonometrical lines . Values 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 . 13 ...
Σελίδα xi
... . Lacroix , Traitè du Calcul Differentiel , & c . Lardner , Differential Calculus . Translation of Lacroix , Differential Calculus . L. Mec . Cel . Laplace , Mécanique Céleste . COS a ALGEBRA . Art . ( 1. ) Definitions ALGEBRA.
... . Lacroix , Traitè du Calcul Differentiel , & c . Lardner , Differential Calculus . Translation of Lacroix , Differential Calculus . L. Mec . Cel . Laplace , Mécanique Céleste . COS a ALGEBRA . Art . ( 1. ) Definitions ALGEBRA.
Σελίδα xii
Charles Brooke. COS a ALGEBRA . Art . ( 1. ) Definitions and Axioms. PAGE LINE 5 12 23 32 * 2 * 22 36 15 24 8 ERRATA . for numerator Log ... ... ... a -an Λ after same for cos B sin ... ... COS circumscribed B1 C2 + B2C1 ef ... ( sec x2 ) ...
Charles Brooke. COS a ALGEBRA . Art . ( 1. ) Definitions and Axioms. PAGE LINE 5 12 23 32 * 2 * 22 36 15 24 8 ERRATA . for numerator Log ... ... ... a -an Λ after same for cos B sin ... ... COS circumscribed B1 C2 + B2C1 ef ... ( sec x2 ) ...
Σελίδα 101
... a power of r as shall render it of the same dimensions as the highest mentioned in the given formula . ( L. 24 ; W. 18. ) ( 4. ) Mutual relations of the trigonometrical lines . ( sin a ) 2 + ( cos a ) 2 = 1. ̧ sin a cos a cos a sin a ...
... a power of r as shall render it of the same dimensions as the highest mentioned in the given formula . ( L. 24 ; W. 18. ) ( 4. ) Mutual relations of the trigonometrical lines . ( sin a ) 2 + ( cos a ) 2 = 1. ̧ sin a cos a cos a sin a ...
Σελίδα 102
Charles Brooke. ( 6. ) Different arcs whose sine , or cosine is the same . sin ( 2n + a ) sin ( 2nr + a ) sin ( 2n + 1.πa ) , = sin ( 2n + 1.π ± α ) ; = - sin ( 2nπ- α ) , = sin ( 2n + 1.π - a ) ... cos a . 1- ( tana ) 2 102 TRIGONOMETRY .
Charles Brooke. ( 6. ) Different arcs whose sine , or cosine is the same . sin ( 2n + a ) sin ( 2nr + a ) sin ( 2n + 1.πa ) , = sin ( 2n + 1.π ± α ) ; = - sin ( 2nπ- α ) , = sin ( 2n + 1.π - a ) ... cos a . 1- ( tana ) 2 102 TRIGONOMETRY .
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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...