# A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Likewise, Rectangular Surveying ... To the Whole are Added, Several Mathematical Tables, Necessary for Solving Questions in Trigonometry and Surveying ...

O. D. Cooke & Company, 1825 - Geometry - 241 pages

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### Contents

 Section 1 3 Section 2 5 Section 3 8 Section 4 9 Section 5 34 Section 6 36 Section 7 37 Section 8 38
 Section 12 69 Section 13 79 Section 14 1 Section 15 20 Section 16 34 Section 17 56 Section 18 80 Section 19 82

 Section 9 40 Section 10 56 Section 11 57
 Section 20 117 Section 21 122 Section 22

### Popular passages

Page 30 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 2 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape.
Page 35 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Page 34 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 10 - 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 2 - ... an act 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 40 - ... radius, which is 10, and the remainder will be the logarithm of double the area of the triangle. Find, from the table, the number answering to this logarithm, and divide it by 2 ; the quotient will be the required area (Geom.
Page 82 - ... which, compared with that of the same line in the former survey, shows the difference. But if one corner cannot be seen from the other, run the line according to the given bearing, and observe the nearest distance between the line so run and the corner: then...
Page 11 - The chord of an arc of 60 degrees is equal in length to the radius of the circle of which the arc is a part. 17. The segment of a circle is a part of a circle cut off by a chord.
Page 10 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.