A system of popular trigonometry1835 |
No interior do livro
Resultados 1-5 de 22
Página 13
... quantities , as well as the 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 ...
... quantities , as well as the 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 ...
Página 14
... quantities with the same advantage as numerical . Thus , in the above triangle , the letter a may stand for the angle ABC , the letter b for the angle BCA , and the letter c for the angle CAB . If the letter d also stood for the angle ...
... quantities with the same advantage as numerical . Thus , in the above triangle , the letter a may stand for the angle ABC , the letter b for the angle BCA , and the letter c for the angle CAB . If the letter d also stood for the angle ...
Página 15
... quantities . But aware of the great facility afforded by the algebraical 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 ...
... quantities . But aware of the great facility afforded by the algebraical 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 ...
Página 18
... quantities represented by letters are related to a linear , or superficial , unit , as the number , or product , is related to 1. It is not , however , necessary to specify the geometrical unit ; we have only to suppose such a unit , in ...
... quantities represented by letters are related to a linear , or superficial , unit , as the number , or product , is related to 1. It is not , however , necessary to specify the geometrical unit ; we have only to suppose such a unit , in ...
Página 20
... quantities under the radical sign . When , in the present science , therefore , we speak of the square - root of a square , or rectangle , we mean in the first case the side of the square , in the second case the side of a square equal ...
... quantities under the radical sign . When , in the present science , therefore , we speak of the square - root of a square , or rectangle , we mean in the first case the side of the square , in the second case the side of a square equal ...
Outras edições - Ver tudo
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...