A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα xii
... Log ... ... ... a -an Λ after same for cos B sin ... ... COS circumscribed B1 C2 + B2C1 ef ... ( sec x2 ) ( 1 - x ) 2 ... read denominator log .... .... .... a 810 an insert time read sin B .... .... COS Y .... .... .... COS sin ...
... Log ... ... ... a -an Λ after same for cos B sin ... ... COS circumscribed B1 C2 + B2C1 ef ... ( sec x2 ) ( 1 - x ) 2 ... read denominator log .... .... .... a 810 an insert time read sin B .... .... COS Y .... .... .... COS sin ...
Σελίδα 109
... log Tan 4 * = log r + log a log b . c = ( a2 + b2 ) * ; or C = b cos A ; log clog r + log blog Cos A. [ 2 ] Given a ... sin B - cos A. a = c sin 4 ; [ 3 ] Given A , c : log a - log c + log Sin A - log r . B = 90 ° - A. b = c cos 4 ; log ...
... log Tan 4 * = log r + log a log b . c = ( a2 + b2 ) * ; or C = b cos A ; log clog r + log blog Cos A. [ 2 ] Given a ... sin B - cos A. a = c sin 4 ; [ 3 ] Given A , c : log a - log c + log Sin A - log r . B = 90 ° - A. b = c cos 4 ; log ...
Σελίδα 110
... sin A log blog a + log Sin Blog Sin A. c may be similarly determined . [ 2 ] Given B , a , b ; a sin 4 = sin B ; log Sin 4 = log a log b + log Sin B. This result is ambiguous if a > b , and B is an acute angle . C = 180 ° - ( 4+ B ) . c ...
... sin A log blog a + log Sin Blog Sin A. c may be similarly determined . [ 2 ] Given B , a , b ; a sin 4 = sin B ; log Sin 4 = log a log b + log Sin B. This result is ambiguous if a > b , and B is an acute angle . C = 180 ° - ( 4+ B ) . c ...
Σελίδα 111
Charles Brooke. sin C c = α sin A log c = log a + log Sin C - log Sin A. or c = ( a2 + b2 — 2 ab cos C ) : 2 ab assume ( tan 0 ) 2 = = vers C ; ( a - b ) 2 * log Tan 0 = 1 { log 2 + log a + log b + log Vers C + log r } −log ( a — b ) ...
Charles Brooke. sin C c = α sin A log c = log a + log Sin C - log Sin A. or c = ( a2 + b2 — 2 ab cos C ) : 2 ab assume ( tan 0 ) 2 = = vers C ; ( a - b ) 2 * log Tan 0 = 1 { log 2 + log a + log b + log Vers C + log r } −log ( a — b ) ...
Σελίδα 112
... log Tan 4 = { log ( s — b ) + log ( s — c ) —log s — log ( s — a ) } + logr . If A nearly 90 ° , the first method is ... sin dist . from pole . If the intersections of three great circles are the poles of three others , the intersections ...
... log Tan 4 = { log ( s — b ) + log ( s — c ) —log s — log ( s — a ) } + logr . If A nearly 90 ° , the first method is ... sin dist . from pole . If the intersections of three great circles are the poles of three others , the intersections ...
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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...