A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 pàgines |
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A Synopsis of the Principal Formulae and Results of Pure Mathematics by ... Charles Brooke Visualització completa - 1829 |
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Frases i termes més freqüents
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
Passatges populars
Pàgina 112 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Pàgina 4 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Pàgina 4 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Pàgina 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...
Pàgina 4 - To reduce a fraction to its lowest terms, divide both the numerator and denominator by their greatest common divisor.
Pàgina 4 - The same quantity may be added to, or subtracted from, both sides of an equation. To...
Pàgina 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.
Pàgina 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...
Pàgina 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.
Pàgina 2 - Tiie square root of a quantity cannot be partly rational and partly a quadratic surd. If possible, let...