A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα vi
... plane tri- angles . ib . 19 . Solution of right - angled plane triangles • 109 20 . Solution of oblique - angled plane triangles 110 • · 21 . 22 . 23 . 24 . General principles of spherical trigonometry Relations between the sides and ...
... plane tri- angles . ib . 19 . Solution of right - angled plane triangles • 109 20 . Solution of oblique - angled plane triangles 110 • · 21 . 22 . 23 . 24 . General principles of spherical trigonometry Relations between the sides and ...
Σελίδα vii
... plane 28 . 29 . 30-33 . 34 . Discussion of 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 ...
... plane 28 . 29 . 30-33 . 34 . Discussion of 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 ...
Σελίδα viii
... plane . 47 . The tangent plane DIFFERENTIAL CALCULUS . Differentiation of algebraic functions Differentiation of exponential functions • · Differentiation of functions of superior orders Development of functions . Implicit functions . 1 ...
... plane . 47 . The tangent plane DIFFERENTIAL CALCULUS . Differentiation of algebraic functions Differentiation of exponential functions • · Differentiation of functions of superior orders Development of functions . Implicit functions . 1 ...
Σελίδα 107
... plane Let A , B , C , be the angles , sin A α a , b , c , the sides subtending them ; s = = ( a + b + c ) . sin B sin C b C cos A = b2 + c2 - a2 2 bc 2 sin 4 = s ( s — a ) ( s — b ) ( s —c ) ] * . bc ( sin 14 ) 2 = ( s — b ) ( s — c ) ...
... plane Let A , B , C , be the angles , sin A α a , b , c , the sides subtending them ; s = = ( a + b + c ) . sin B sin C b C cos A = b2 + c2 - a2 2 bc 2 sin 4 = s ( s — a ) ( s — b ) ( s —c ) ] * . bc ( sin 14 ) 2 = ( s — b ) ( s — c ) ...
Σελίδα 109
... sake of distinction , be denoted by capital letters . See ( Enc . Met . Art . Trigonom . ) ( 20. ) Solution of oblique angled plane triangles . SOLUTION OF PLANE TRIANGLES . 109 19 Solution of right-angled plane triangles.
... sake of distinction , be denoted by capital letters . See ( Enc . Met . Art . Trigonom . ) ( 20. ) Solution of oblique angled plane triangles . SOLUTION OF PLANE TRIANGLES . 109 19 Solution of right-angled plane triangles.
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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...