A System of Geometry and Trigonometry: With a Treatise on Surveying ... in Which, Also, the Principles of Rectangular Surveying ... are Fully Explained: with a Complete Series of Mathematical Tables, and the Necessary Explanations
Cooke & Company, 1830 - 284 sider
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Acres Rood Rods added ARITHM chains and links circle column headed column of north compass contained angle Cosime Cosine Cotang course and distance decimal diagonal diameter difference diurnal motion Doub double area double the area Draw the line east or west equal FIELD BOOK figure find the angle find the area GEORGE GILLET given number given side hypothenuse inches land latitude and departure leg AB leg BC length logarithms magnetic needle measure meridian distance multiplier NATURAL SINEs north areas NotE number of acres number of degrees opposite perpendicular plot PROBLEM proportion protract quotient radius remainder rhombus right angled triangle rod chains RULE secant side BC south areas square chains square links square root station stationary lines subtract surveyor Tang tangent trapezium trapezoid triangle ABC trigonometry
Side 2 - IDE, of the said District, hath deposited in this office, the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " Inductive Grammar, designed for beginners. By an Instructer." In conformity to the act of the Congress of the United States...
Side 48 - West ; add them together. 3. If both are North or South, but one East and the other West; subtract their sum from 180 degrees. 4. If both are North or South, and both East or West ; add together 90 degrees...
Side 2 - ... for the encouragement of learning by securing the copies of Maps, charts, and books, to the Authors and Proprietors of such copies during the times therein mentioned, and extending the benefits thereof to the arts of designing, engraving and etching historical and other prints.
Side 15 - NB The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right-hand column, belong to the degrees below.
Side 9 - The tangent of an arc is a right line touching the circumference, and drawn perpendicular to the diameter ; and is terminated by a line drawn from the centre through the other end of the arc ; thus BK is the tangent of the arc BH.
Side 8 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
Side 30 - By the Square Root. In this Case the Hypothenuse may be found by the Square Root, without finding the Angles; according to the following PROPOSITION. In every Right Angled Triangle, the Sum of the Squares of the two Legs is equal to the Square of the Hypothenuse. In the above EXAMPLE, the Square of AB 78.7 is...
Side 81 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.
Side 9 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the O's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N. 1 2 3 4 5...