A system of popular trigonometry1835 |
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Página vii
... portion of space contained within its boundaries , 21 . ART . 62 . The logarithm of a proper fraction is a subtractive number , 10 . ART . 63. The logarithm of a fraction is equal to the logarithm of its reciprocal with a different sign ...
... portion of space contained within its boundaries , 21 . ART . 62 . The logarithm of a proper fraction is a subtractive number , 10 . ART . 63. The logarithm of a fraction is equal to the logarithm of its reciprocal with a different sign ...
Página viii
... portion of the geometrical tangent at one extremity of the arch , which is inter- cepted between the sides of the corresponding angle , 43 . DEF . II . The secant of an arch , or angle , is that portion of a geo- metrical secant through ...
... portion of the geometrical tangent at one extremity of the arch , which is inter- cepted between the sides of the corresponding angle , 43 . DEF . II . The secant of an arch , or angle , is that portion of a geo- metrical secant through ...
Página xi
... portion of a right line cannot be in a plane , and another portion out of it , 95 . ART . 2. Three right lines which meet one another are in the same plane , 96 . ART . 3. If two planes cut one another , their line of intersection will ...
... portion of a right line cannot be in a plane , and another portion out of it , 95 . ART . 2. Three right lines which meet one another are in the same plane , 96 . ART . 3. If two planes cut one another , their line of intersection will ...
Página 21
... portion of space contained within its boundaries . ARTICLE 1. The area of a parallelogram is equal to the product of any side taken as base , and the corresponding altitude . In the parallelogram ABCD , if the side AB be taken as base ...
... portion of space contained within its boundaries . ARTICLE 1. The area of a parallelogram is equal to the product of any side taken as base , and the corresponding altitude . In the parallelogram ABCD , if the side AB be taken as base ...
Página 36
... portion Ax be taken to re- presenta , then an equal portion Ax ' , in the other direc- tion , is considered to repre- sent B A I - a . Or , if yy ' be the measuring right line , and if the portion ay be taken to represent + b , then an ...
... portion Ax be taken to re- presenta , then an equal portion Ax ' , in the other direc- tion , is considered to repre- sent B A I - a . Or , if yy ' be the measuring right line , and if the portion ay be taken to represent + b , then an ...
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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...