## A system of popular trigonometry |

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### Common terms and phrases

algebraical quantities altitude angle acd angle is equal angular application of Algebra arithmetic series centre computation Consequently corresponding cosec cosine of acd cotan divided equal to half equal to one-third equation Euclid's Elements figure formula Geom geometric series geometrical unit given angle goniometrical circle goniometrical lines half a right Hence ibid inapproachable inasmuch latter length Let acd likewise linear unit logarithms means mnop multiply opposite the right parallelogram parallelopiped perpendicular prec ratio rectangle represent respectively right angle right lines drawn right-angled spherical triangle right-angled triangle given scil secant sexagesimal side opposite sides and angles sin2 sine of acd sphere SPHERICAL TRIGONOMETRY submultiple subtractive supplementary angles suppose surface tangent third side three sides tion Treatise TRIGONOMETRY unity

### Popular passages

Page 118 - A CRITICAL ESSAY on the GOSPEL of ST. LUKE, by Dr. FREDERICK SCHLEIERMACHER : with an Introduction by the Translator, containing an Account of the Controversy respecting the Origin of the Three First Gospels, since BISHOP MARSH'S Dissertation.

Page 118 - The Principal Roots of the Latin Language, simplified by a display of their Incorporation into the English Tongue ; with copious Notes. By HENRY HALL. Fifth Edition. 12mo, 1s. 6d. cloth limp. The Germania Of TacitUS. With Ethnological Dissertations and Notes. By Dr. RG LATHAM. Author of the " English Language,

Page 118 - Whereby an adult, previously unacquainted in the slightest degree with Latin, was enabled, in the short space of only Seven Days, to acquire so considerable a Knowledge of the Latin Language, as to translate, parse, and scan, the first book of Virgil's Royal Svo.

Page 2 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Page 117 - Series consists of the following Interlinear Translations with the Original Text, in which the quantity of the doubtful Vowels is denoted ; critical and explanatory Notes, &c. %* By means of these Works, that excellent system of Tuition is effectually restored which was established by Dean Colet, Erasmus, and Lily, at the foundation of St.

Page 118 - The PRINCIPAL ROOTS of the LATIN LANGUAGE, Simplified by a display of their Incorporation into the English Tongue; with copious notes. By Henry Hall.

Page 97 - 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 101 - THEOREM. Every section of a sphere, made by a plane, is a circle.

Page 119 - I. containing the Geometry of Plane Curves. 8vo. 18s. AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS. 8vo. 21s. AN ANALYTICAL TREATISE ON PLANE AND SPHERICAL TRIGONOMETRY AND THE ANALYSIS OF ANGULAR SECTIONS. 8vo. 12s.

Page 13 - Now, we know that the three angles of any triangle, taken together, are equal to two right angles...