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 (Google eBook)
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A B and C D acre angle A B D angle B A C angular point arc A C arithm bisect boundary calculating centre circumference circumscribing circle construct the triangle crooked line diagonal diameter difference dimensions distance divided double the angle draw ellipse equal to A B example Example.—Required the area fences field figure given point half inch intersection isoceles triangle join lands length line A B mark measured multiply Natural Numbers offsets opposite parallel ruler parallel to A B parallelogram perpendicular to A B polygon PROBLEM proof lines PROPORTIONAL protraction quotient radius ratio rectangle right angles right line segment semicircle semiperimeter station lines straight line subtract Table Theor THEOREM trapezium Trapezoids triangle ABC Trigonometry Vulgar Fraction whole
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 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 46 - 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 50 - 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 35 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.
Page 118 - Ltldvati, say what is the area of a circle, the diameter of which is measured by seven?
Page 7 - Prob. 7. Through a given point C, to draw a line parallel to a given line AB.