A System of Land Surveying and Levelling: Wherein is Demonstrated the Theory with Numerous Practical Examples, as Applied to All Operations, Either Relative to the Land Surveyor, Or Civil and Military Engineer, Volume 1

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K. Chapman, 1815 - Surveying - 164 pages
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Page xiii - If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Page 31 - If a straight line touch a circle, the straight line drawn from the centre to the point of contact shall be perpendicular to the line touching the circle. Let...
Page xiii - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Page 42 - The decimal of ^ = -4375 ; and the logarithm of this decimal is = -1.640978 or, subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm, which, being that of a decimal fraction, must always have a negative index.
Page xii - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Page 46 - Add the logarithms of the second and third terms together, and from the sum subtract the logarithm of the first term, the remainder will be the logarithm of the fourth term.
Page 33 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.
Page 114 - Ltldvati, say what is the area of a circle, the diameter of which is measured by seven?
Page 6 - Prob. 7. Through a given point C, to draw a line parallel to a given line AB.
Page 34 - The first term of a ratio is called the antecedent, and the second term the consequent.

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