A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα vii
... lines of the second order Summary of equations . . 155 · 155 . 157 • 158 . 160 . 163 · 167 • • 172 174 176 177 · 179 Analytical Geometry of three dimensions . The straight line The orthogonal projection of plane figures Oblique co ...
... lines of the second order Summary of equations . . 155 · 155 . 157 • 158 . 160 . 163 · 167 • • 172 174 176 177 · 179 Analytical Geometry of three dimensions . The straight line The orthogonal projection of plane figures Oblique co ...
Σελίδα 155
... straight line . The equation to a The equation to a straight line is y = ax + b . Let the line be represented by l , then if the co - ordinates are oblique , if rectangular , sin l , x α = sin l , y a = tan l , x . The equation to a ...
... straight line . The equation to a The equation to a straight line is y = ax + b . Let the line be represented by l , then if the co - ordinates are oblique , if rectangular , sin l , x α = sin l , y a = tan l , x . The equation to a ...
Σελίδα 157
... line , 1 , y1 , the co - ordinates of the same line in another system having the same origin , then x = y = 1 sin x , y 1 sin x , y ( x1.sin x1 , y + y1 . sin y1 , y ) ... straight line, and its properties Transformation of co-ordinates.
... line , 1 , y1 , the co - ordinates of the same line in another system having the same origin , then x = y = 1 sin x , y 1 sin x , y ( x1.sin x1 , y + y1 . sin y1 , y ) ... straight line, and its properties Transformation of co-ordinates.
Σελίδα 159
... straight line yax + b may be determined from the equation 26 Y1 + b2 — a2 r2 a2 + 1 = 0 , a2 + 1 which having only two roots , it follows that a straight line cannot cut a circle in more than two points . The equation to a tangent at a ...
... straight line yax + b may be determined from the equation 26 Y1 + b2 — a2 r2 a2 + 1 = 0 , a2 + 1 which having only two roots , it follows that a straight line cannot cut a circle in more than two points . The equation to a tangent at a ...
Σελίδα 160
... straight line y = ax + b , and the parabola y2 = 4mx ; be determined by the solution of the equation 4m 4mb y2- y + α a = 0 : which has only two roots ; hence a straight line cannot cut a parabola in more than two points . The equation ...
... straight line y = ax + b , and the parabola y2 = 4mx ; be determined by the solution of the equation 4m 4mb y2- y + α a = 0 : which has only two roots ; hence a straight line cannot cut a parabola in more than two points . The equation ...
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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...