A system of popular trigonometry1835 |
No interior do livro
Resultados 1-5 de 20
Página viii
... and cosine of an arch or angle , 45 . ART . 4. The ratio of the sine to the cosine of an angle is the same as that of the tangent to the radius , ibid . ART . 5. The rectangle under the secant and cosine viii CONTENTS .
... and cosine of an arch or angle , 45 . ART . 4. The ratio of the sine to the cosine of an angle is the same as that of the tangent to the radius , ibid . ART . 5. The rectangle under the secant and cosine viii CONTENTS .
Página 1
... ratio themselves are a series in arithmetic progression ; thus , if the former series be a , ar1 , ar2 , ar3 , art , ar5 , ar6 , & c . inasmuch as a is equal to a × 1 , or a × ro ( by Obs . Art . 37 , ALG . ) , the series of indices ...
... ratio themselves are a series in arithmetic progression ; thus , if the former series be a , ar1 , ar2 , ar3 , art , ar5 , ar6 , & c . inasmuch as a is equal to a × 1 , or a × ro ( by Obs . Art . 37 , ALG . ) , the series of indices ...
Página 16
... ratio to MN as has to 1. Also AB will have to AC the same ratio as 3 has to 2. We have now established a connexion between lines and numbers ; there is little more difficulty in establishing one between surfaces and numbers . Suppose a ...
... ratio to MN as has to 1. Also AB will have to AC the same ratio as 3 has to 2. We have now established a connexion between lines and numbers ; there is little more difficulty in establishing one between surfaces and numbers . Suppose a ...
Página 19
... ratios to the linear unit . For example , if AB = 2MN , and CD = 3MN , then AB X CD 3MN X 2MN , that is , six times ... ratio of a : b ( ART . 10 . ALG ) . Almost all the rules of Fractions will be found applicable to such geometrical ...
... ratios to the linear unit . For example , if AB = 2MN , and CD = 3MN , then AB X CD 3MN X 2MN , that is , six times ... ratio of a : b ( ART . 10 . ALG ) . Almost all the rules of Fractions will be found applicable to such geometrical ...
Página 29
... ratio ; because AE is a geometric mean between the extremes AB , EB ; and AE ' a geometric mean between AB , EB ; by ART . 103 , GEOM . ART . 9. Given the greater of two geometric extremes , and the difference between the lesser and ...
... ratio ; because AE is a geometric mean between the extremes AB , EB ; and AE ' a geometric mean between AB , EB ; by ART . 103 , GEOM . ART . 9. Given the greater of two geometric extremes , and the difference between the lesser and ...
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...