A system of popular trigonometry1835 |
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Página v
... Trigonometry everything which was not absolutely necessary to the student , retain- ing , we hope , every thing which will be found at all useful , In our second Treatise the Cartesian method of Algebraic Geometry a 3.
... Trigonometry everything which was not absolutely necessary to the student , retain- ing , we hope , every thing which will be found at all useful , In our second Treatise the Cartesian method of Algebraic Geometry a 3.
Página vi
George Darley. In our second Treatise the Cartesian method of Algebraic Geometry has been omitted , as being much more remark- able for its elegance than utility . Of Logarithmic and Trigonometric TABLES we have given just what may serve ...
George Darley. In our second Treatise the Cartesian method of Algebraic Geometry has been omitted , as being much more remark- able for its elegance than utility . Of Logarithmic and Trigonometric TABLES we have given just what may serve ...
Página 13
... methods of expressing their mutual relations , were greatly facilitated by the same means . But the symbols + , — , = , are in reality no more proper to Algebra than to Geometry ; they may serve to connect any quantities whatsoever ...
... methods of expressing their mutual relations , were greatly facilitated by the same means . But the symbols + , — , = , are in reality no more proper to Algebra than to Geometry ; they may serve to connect any quantities whatsoever ...
Página 15
... methods of computation , when we seek to apply these to Geometry , some difficulty and a great deal of im- propriety would arise if the application were made directly , and without suitable preparation . Throughout Algebra , letters ...
... methods of computation , when we seek to apply these to Geometry , some difficulty and a great deal of im- propriety would arise if the application were made directly , and without suitable preparation . Throughout Algebra , letters ...
Página 26
... method of doing this is suggested by the equation . Draw BK parallel to AC , and equal to BD . Join AK , and draw GF parallel to AC , from the point G , where AK meets one side of the triangle , to the other . Then , GF will be a side ...
... method of doing this is suggested by the equation . Draw BK parallel to AC , and equal to BD . Join AK , and draw GF parallel to AC , from the point G , where AK meets one side of the triangle , to the other . Then , GF will be a side ...
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Palavras e frases frequentes
ABCD AC AC algebraical quantities angle ACD angle bac angle is equal angular CD² centre compute Consequently corresponding cos² cosec cosine of ACD cotan determine the magnitude dicular DIONYSIUS LARDNER divided EFGH equal to half equal to one-third equation figure formula GEOM geometric series geometrical given angle goniometrical circle goniometrical lines half a right Hence inasmuch inscribed square length Let ACD likewise linear unit logarithms means opposite parallelopiped perpen perpendicular plane ABO prec radius ratio rectangle respectively right angle right-angled triangle sec² secant sides and angles sin² sine of ACD sphere submultiple subtractive supplementary angles suppose tan² tangent third side three sides Treatise triangle ABC TRIGONOMETRY
Passagens conhecidas
Página 110 - PRINCIPLES OF GEOMETRY, familiarly Illustrated, and applied to a variety of useful purposes. Designed for the Instruction of Young Persons.
Página 111 - I vol. 8vo. THE STEAM ENGINE. Explained and illustrated in a familiar style, with its application to the Arts and Manufactures, more especially in transport by Land and Water ; with some account of the Rail Roads now in progress in various parts of the World. By the Rev. DIONYSIUS LARDNER, LL.
Página vi - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página iii - A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line which passes through its foot in that plane, and the plane is said to be perpendicular to the line.
Página 5 - Now, we know that the three angles of any triangle, taken together, are equal to two right angles...
Página 110 - Dr. Ritchie's little elementary work is excellently well adapted to its object. It is brief, plain, and full of all that is necessary : curious and useful in its application ; and beyond any other of the kind now existent in its familiar and distinct explanation of some of the instruments required in the practical application of the principles laid down and demonstrated.
Página 53 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Página iii - THEOREM. Every section of a sphere, made by a plane, is a circle.
Página 37 - The sum of the squares of the sine and cosine of an angle is...