Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit Surveying

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International Textbook Company, 1906 - Building
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Page 51 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 31 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 27 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 18 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 18 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Page 24 - ... towards the end of the table which increase by 10 units at a time, all interpolation is avoided, as with a glance at the table we can at once take out the required S or T. TABLE III. This table contains for every ten seconds of the quadrant the logarithms of the sines, cosines, tangents, and cotangents.
Page 21 - If two triangles have two sides of the one equal to two sides of the other...
Page 7 - ... in a direction opposite to that in which the hands of a clock move, and...
Page 17 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 20 - RULE. — From half the sum of the three sides subtract each side separately ; multiply the half -sum and the three remainders together ; the square root of the product is the area.

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