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 14.
Σελίδα 112
... poles of two great circles is equal to the inclination of their planes . The pole of a great circle is the pole of all parallel small circles . If the angle subtended by the arc a is invariable , then a o sin dist . from pole . If the ...
... poles of two great circles is equal to the inclination of their planes . The pole of a great circle is the pole of all parallel small circles . If the angle subtended by the arc a is invariable , then a o sin dist . from pole . If the ...
Σελίδα 158
... pole , u , the radius vector , and a the angle which the axis to which u is referred makes with the axis of x , then x = a + u y = b + u - sin { x , y — ( 0 + a ) } sin x , y sin ( 0+ a ) sin x , y If the axes are rectangular , these ...
... pole , u , the radius vector , and a the angle which the axis to which u is referred makes with the axis of x , then x = a + u y = b + u - sin { x , y — ( 0 + a ) } sin x , y sin ( 0+ a ) sin x , y If the axes are rectangular , these ...
Σελίδα 159
... pole , u the radius vector , and the angle u , x = 0 ; the polar equation is u2 ± 2 ( a cos 0 + b sin 0 ) u + a2 + b2 — r2 = 0 ; + or , acting as the pole is situated within or without the circle . ( H. A. G. Ch . v ; G. G. A. Ch . x ...
... pole , u the radius vector , and the angle u , x = 0 ; the polar equation is u2 ± 2 ( a cos 0 + b sin 0 ) u + a2 + b2 — r2 = 0 ; + or , acting as the pole is situated within or without the circle . ( H. A. G. Ch . v ; G. G. A. Ch . x ...
Σελίδα 161
... pole , is 1 1 + SP - u = 2 2m m 1+ cos 0 ( sin 10 ) 2 Sp SL SP.Sp = AS . Pp . ( See Fig . p . 160. ) The tangent at any point , and the perpendicular on it from the focus intersect the axis AY in the same point . SP.SA - SY2 . Let Z be ...
... pole , is 1 1 + SP - u = 2 2m m 1+ cos 0 ( sin 10 ) 2 Sp SL SP.Sp = AS . Pp . ( See Fig . p . 160. ) The tangent at any point , and the perpendicular on it from the focus intersect the axis AY in the same point . SP.SA - SY2 . Let Z be ...
Σελίδα 164
... Let S , H , be the foci , then SP - a - ex , HP a + ex . = SP + HP 2a = Aa . The polar equation to the ellipse , the focus being the pole , is u = a 1 - e2 1 + e cos 0 BC2 AC - SC.cos PSN SP = 1 2 + 164 ANALYTICAL GEOMETRY .
... Let S , H , be the foci , then SP - a - ex , HP a + ex . = SP + HP 2a = Aa . The polar equation to the ellipse , the focus being the pole , is u = a 1 - e2 1 + e cos 0 BC2 AC - SC.cos PSN SP = 1 2 + 164 ANALYTICAL GEOMETRY .
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...