## A system of popular trigonometry1835 |

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### Common terms and phrases

ABCD AC AC algebraical quantities angle ACD angle bac angle is equal angular CD˛ centre compute Consequently corresponding cos˛ 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 sec˛ secant sides and angles sin˛ sine of ACD sphere submultiple subtractive supplementary angles suppose tan˛ tangent third side three sides Treatise triangle ABC TRIGONOMETRY

### Popular passages

Page 110 - PRINCIPLES OF GEOMETRY, familiarly Illustrated, and applied to a variety of useful purposes. Designed for the Instruction of Young Persons.

Page 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.

Page vi - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Page 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.

Page 5 - Now, we know that the three angles of any triangle, taken together, are equal to two right angles...

Page 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.

Page 53 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.

Page iii - THEOREM. Every section of a sphere, made by a plane, is a circle.

Page 37 - The sum of the squares of the sine and cosine of an angle is...