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acute algebraical quantities angle acd angle bac angle is equal angular arithmetic series centre circumference complement complementary angle compute Consequently cosec cosine of acd cotan determine the magnitude diameter dicular Dionysius Lardner divided equal to half equation equiangular figure formula Geom geometric series given angle goniometrical circle goniometrical lines half a right Hence inasmuch known quantities length Let acd likewise linear unit logarithms means numeral radius opposite parallelopiped perpen perpendicular planes abo prec radius coming ratio rectangle respectively right angle right lines drawn right-angled spherical triangle right-angled triangle sec2 secant sides and angles sin2 sine of acd sphere SPHERICAL TRIGONOMETRY submultiple subtractive supplementary angles suppose surface tan2 third side three right lines three sides Treatise TRIGONOMETRY
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.