A system of popular trigonometry1835 |
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Página viii
... centre , ibid . DEF . III . The complement of an arch , or angle , is the difference between it and a quadrant , or right angle , 44 . DEF . IV . The sine of an arch , or angle , is the perpendicular drawn from one extremity of the arch ...
... centre , ibid . DEF . III . The complement of an arch , or angle , is the difference between it and a quadrant , or right angle , 44 . DEF . IV . The sine of an arch , or angle , is the perpendicular drawn from one extremity of the arch ...
Página xi
... centre of the sphere , ibid . DEF . VII . A right line drawn from the centre of a sphere , and terminated in the surface , is called a Radius of the sphere , ibid . DEF . VIII . A right line drawn through the centre of a sphere , and ...
... centre of the sphere , ibid . DEF . VII . A right line drawn from the centre of a sphere , and terminated in the surface , is called a Radius of the sphere , ibid . DEF . VIII . A right line drawn through the centre of a sphere , and ...
Página 28
... centre . Then , the part AE cut off from AB by this semicircle will be the line sought . DEM . BY ART . 47 , GEOM . CD2 = CA2 + AD2 = CA2 + AB = 2 AB2 + AB2 = + AB . Consequently , as CD 4 = CE , we have AB2 CE + AB .. CE = + AB2 + AB2 ...
... centre . Then , the part AE cut off from AB by this semicircle will be the line sought . DEM . BY ART . 47 , GEOM . CD2 = CA2 + AD2 = CA2 + AB = 2 AB2 + AB2 = + AB . Consequently , as CD 4 = CE , we have AB2 CE + AB .. CE = + AB2 + AB2 ...
Página 30
... centre , and with the line BF as distance , de- scribe an arch cutting EFB in F. Join EF , and with E as centre , and EF as distance , describe the semicircle HFG . Then , AG or AH , will be the mean sought . DEM . BY ART . 72 , GEOM ...
... centre , and with the line BF as distance , de- scribe an arch cutting EFB in F. Join EF , and with E as centre , and EF as distance , describe the semicircle HFG . Then , AG or AH , will be the mean sought . DEM . BY ART . 72 , GEOM ...
Página 41
... centre to the several points of division , the whole angular space round c would be also divided into 360 equal parts , by ARTS . 85 and 86 , GEOM . These parts might consequently be named angular degrees ; and each angular degree would ...
... centre to the several points of division , the whole angular space round c would be also divided into 360 equal parts , by ARTS . 85 and 86 , GEOM . These parts might consequently be named angular degrees ; and each angular degree would ...
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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...