A System of Geometry and Trigonometry: With a Treatise on Surveying; in which the Principles of Rectangular Surveying, Without Plotting, are Explained

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Belknap & Hamersley, 1838 - Geometry - 334 pages
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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 . NOTE.
Page 36 - 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 35 - Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them.
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 52 - OF PROTRACTING FIELDS. Without drawing parallel lines at the end of each side, a field may be protracted by the angles made by the several sides ; and the angle made between any two sides may be found by the following RULES. RULE 1. If the course or bearing of one of the sides is north and the other south, one east and the other west, subtract the less course from the greater.
Page 105 - By turning the latter round to the right or to the left, as the case may be...
Page 161 - O's, points or dots are introduced instead of the 0'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'.
Page 11 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.
Page 10 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.

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