# Elements of Plane and Solid Geometry: And of Plane and Spherical Trigonometry ; to which is Added Mensuration, Surveying, and Navigation

Harper, 1867 - Geometry - 283 pages

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### Contents

 Solid Angles 103 Solid Geometry 109 Spherical Geometry 123 Elements of Plane Trigonometry 1331GG 133
 Supplying OmissionsOffsets 235240 235 LevelingTopography 251259 251 Navigation 261283 261

### Popular passages

Page 8 - If two triangles have two sides of the one equal to two sides of the...
Page 15 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 35 - THE Angle formed by a Tangent to a Circle, and a Chord drawn from the Point of Contact, is Equal to the Angle in the Alternate Segment.
Page 22 - If a straight line be divided into any two parts, the square on the whole line is...
Page 60 - The areas or spaces of circles are to each other as the squares of their diameters or of their radii.
Page 103 - A cone is a solid figure described by the revolution of a rightangled triangle about one of the sides containing the right angle, which side remains fixed.
Page 87 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Page 44 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Page 45 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.