## 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 |

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Page 6 - 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...

Page 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.

Page 52 - 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...

Page 6 - ... 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.

Page 9 - 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.

Page 13 - 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.

Page 12 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.

Page 34 - 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...

Page 85 - 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°.

Page 3 - 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...