A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα 114
... COSC sin C cos c cos ( A + B ) , 1⁄2 cos sin ( A + B ) . C sin ( A – B ) . sin ( ab ) sin ( a + b ) == = ( tan C ) 2 . tan ( A + B ) . tan } ( 4 — B ) . - sin ( A - B ) = ( cotc ) .tan ( a + b ) . tan } ( a — b ) . - sin ( A + B ) sin ( ...
... COSC sin C cos c cos ( A + B ) , 1⁄2 cos sin ( A + B ) . C sin ( A – B ) . sin ( ab ) sin ( a + b ) == = ( tan C ) 2 . tan ( A + B ) . tan } ( 4 — B ) . - sin ( A - B ) = ( cotc ) .tan ( a + b ) . tan } ( a — b ) . - sin ( A + B ) sin ( ...
Σελίδα 115
... cosc ; n = ( N.tana.cotb.cotc ) . 1 + cos a - cos b - sin ( S - 4 ) = COS C 4 cosa . sin b . sinc sin 4.sin B. sin & C = cos4.cos B.cos C tan 4. tan B. tan & C = cosa.cosb.cosc = sin ( sa ) . sin ( s — b ) . sin ( s — c ) sin a . sin b ...
... cosc ; n = ( N.tana.cotb.cotc ) . 1 + cos a - cos b - sin ( S - 4 ) = COS C 4 cosa . sin b . sinc sin 4.sin B. sin & C = cos4.cos B.cos C tan 4. tan B. tan & C = cosa.cosb.cosc = sin ( sa ) . sin ( s — b ) . sin ( s — c ) sin a . sin b ...
Σελίδα 116
... cosc ( L. 181-201 , tab . vIII . ) Formula for the area ( E ) of a spherical triangle . - 90 ° 1 ) ; = 2S - π , the ... cosc cosa.cos b + sina.sin b.cos C cosc cos a + cos b + cos c + 1 4 cosa.cosb.cos c ; ( cosa ) + ( cos b ) 2 + ( cos } ...
... cosc ( L. 181-201 , tab . vIII . ) Formula for the area ( E ) of a spherical triangle . - 90 ° 1 ) ; = 2S - π , the ... cosc cosa.cos b + sina.sin b.cos C cosc cos a + cos b + cos c + 1 4 cosa.cosb.cos c ; ( cosa ) + ( cos b ) 2 + ( cos } ...
Σελίδα 119
... Cosc = log Cos a + log Cos b — log r . tan a tan A = sin b log Tan A = log Tan a - log Sin b + log r . [ 4 ] Given A , a : sin c = sin a sin A log Sin c = log Sin a — log Sin A + log r . - sin b tan a.cot A ; log Sin blog Tan a + log ...
... Cosc = log Cos a + log Cos b — log r . tan a tan A = sin b log Tan A = log Tan a - log Sin b + log r . [ 4 ] Given A , a : sin c = sin a sin A log Sin c = log Sin a — log Sin A + log r . - sin b tan a.cot A ; log Sin blog Tan a + log ...
Σελίδα 120
... Sina Cos ( c - 4 ) - = = Cosc Cos ( a + b ) + Còs A = Sin ( a + B ) — Cos ( c + 4 ) . Cos ( a − b ) . - } Sin ( a — B ) . ( W. Ch . x ; L. § . v ; C. Ch . xvii . ) ( 26. ) Solution of oblique - angled spherical triangles 120 TRIGONOMETRY .
... Sina Cos ( c - 4 ) - = = Cosc Cos ( a + b ) + Còs A = Sin ( a + B ) — Cos ( c + 4 ) . Cos ( a − b ) . - } Sin ( a — B ) . ( W. Ch . x ; L. § . v ; C. Ch . xvii . ) ( 26. ) Solution of oblique - angled spherical triangles 120 TRIGONOMETRY .
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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...