Practical Surveying: A Text-book for Students Preparing for Examinations Or for Survey-work in the Colonies

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C. Lockwood and Son, 1889 - Surveying - 272 pages

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Page 86 - If two triangles have two sides of the one equal to two sides of the...
Page 89 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon...
Page 85 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Page 61 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 85 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16.
Page 92 - In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle.
Page 116 - In any plane triangle, as the sum of the sides about the vertical angle is to their difference, so is the tangent of half the sum of the angles at the base to the tangent of half their difference.
Page 85 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 127 - As the sum of the two given sides Is to their difference, So is the tangent of half the sum of their opposite angles To the tangent of half the difference of the same angles.
Page 85 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

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