A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα ix
... sides and angles of triangles , or trigonometry , properly so called ........ PAGE 234 246 CHAPTER XXXIV . On the use and application of subsidiary angles 260 CHAPTER XXXV . On exponential and logarithmic series 268 CHAPTER XXXVI . On ...
... sides and angles of triangles , or trigonometry , properly so called ........ PAGE 234 246 CHAPTER XXXIV . On the use and application of subsidiary angles 260 CHAPTER XXXV . On exponential and logarithmic series 268 CHAPTER XXXVI . On ...
Σελίδα 11
... side of the point of departure A , and the solution of the problem is strictly within the limits of Arithmetical Algebra : but if we suppose the traveller to return farther northwards than he went , in the first instance , south- wards ...
... side of the point of departure A , and the solution of the problem is strictly within the limits of Arithmetical Algebra : but if we suppose the traveller to return farther northwards than he went , in the first instance , south- wards ...
Σελίδα 30
... sides are divided . Assuming therefore the product ab to denote the rectangle ABCD , it will satisfy the first condition ( Art . 591 ) , because if we replace a and b by the numbers 5 and 4 , then ab is re- placed by their product or 20 ...
... sides are divided . Assuming therefore the product ab to denote the rectangle ABCD , it will satisfy the first condition ( Art . 591 ) , because if we replace a and b by the numbers 5 and 4 , then ab is re- placed by their product or 20 ...
Σελίδα 31
... sides BA and DA of the rectangle ABCD to b and d respectively , making Ab AB and Ad = AD , and com- plete the rectangles ADcb , ABEd , Abed , we shall find , by the prin- ciples of interpretation established in the last chapter ( Art ...
... sides BA and DA of the rectangle ABCD to b and d respectively , making Ab AB and Ad = AD , and com- plete the rectangles ADcb , ABEd , Abed , we shall find , by the prin- ciples of interpretation established in the last chapter ( Art ...
Σελίδα 72
... sides + b and ÷ b , lical square - b and b , then -62 will express the equal square con- root of - b2 . or tained by band b , or by -b and + b . ( Art . 593. ) This sign is √ - 1 . Classifica- tion of square roots as arithmeti- cal and ...
... sides + b and ÷ b , lical square - b and b , then -62 will express the equal square con- root of - b2 . or tained by band b , or by -b and + b . ( Art . 593. ) This sign is √ - 1 . Classifica- tion of square roots as arithmeti- cal and ...
Συχνά εμφανιζόμενοι όροι και φράσεις
A₁ angle of transfer application arith Arithmetical Algebra assumed becomes biquadratic equation Chapter coefficients common divisor considered corresponding cos² cosecant cotangent cube roots cubic equation denote determined divergent series divisor equa equal equisinal equivalent forms examples expression factors figure follows formula fraction geometrical angle given in Art goniometrical angle greater identical inasmuch indeterminate infinity involve last Article less likewise logarithms magnitude and position metical multiple negative nth roots operations period primitive equation primitive line problem proposition quadratic quotient radius ratio replace represent right angles shewn sides similar manner sin² sine and cosine solution square root subtraction successive Symbolical Algebra tangent tion triangle unknown quantities values whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 88 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 235 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 235 - The logarithm of a product is the sum of the logarithms of its factors.
Σελίδα 248 - The sides of a triangle are proportional to the sines of the opposite angles.
Σελίδα 455 - Inquiry into the Validity of a Method recently proposed by George B. Jerrard, Esq., for Transforming and Resolving Equations of Elevated Degrees: undertaken at the request of the Association by Professor Sir WR Hamilton.
Σελίδα 359 - HAMILTON. A publication which is justly distinguished for the originality and elegance of its contributions to every department of analysis.
Σελίδα 21 - The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2.
Σελίδα 166 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.
Σελίδα 395 - ... and it is in this sense, and in this sense only, that...
Σελίδα 262 - Fink not only discovered the law of tangents, but pointed out its principal application; namely, to aid in solving a triangle when two sides and the included angle are given.