The Elements of Surveying and Geodesy

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Longmans, Green and Company, 1915 - Geodesy - 244 pages

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Page 49 - 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 172 - Thus the sines of the angles of a spherical triangle are proportional to the sines of the opposite sides.
Page 172 - The sum of the three angles of a spherical triangle exceeds two right angles by an angle which bears the same proportion to four right angles that the area of the triangle bears to the surface of the hemisphere.
Page 12 - In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle 59 THEOREM 30.
Page 81 - ... perpendicular to the plane of the instrument. If the reflected image drops, the glass is leaning backward; if it rises, forward. The adjustment is made by means of a key on the back, the latter being turned to the left if the image is dropping, and to the right if rising. The reflecting surface of the horizon glass should be perpendicular to the plane of the instrument. To test this, put in the telescope and point it towards a star, holding the instrument vertical, then move the instrument until...
Page 137 - She was also gratified by receiving a most affectionate and sympathizing letter from him, in his own hand, within a few weeks of her death. The interest felt about her on the continent of Europe, as well as in the United States of America, was indeed as warm and nearly as general as in her own country.
Page 32 - J{s(s — a) (s — b) (s — c)} gives the area of a triangle when the lengths of the three sides are known.
Page 180 - ... azimuth circle ; AB is a telescope mounted on Fig. 13. a horizontal axis and capable of two motions, one in altitude parallel to the circle abc, and the other in azimuth parallel to EFG. Hence it can be easily brought to bear upon any object. At m, under the eye glass of the telescope, is a small mirror placed at an angle of 45 with the axis of the telescope, by means of which the image of the object is reflected upwards, so as to be conveniently presented to the eye of the observer. At d is...
Page 121 - Theodolite. line of the telescope, so that when the bubble is in the centre of its run the collimation line of the telescope is horizontal. The vertical circle g is fixed to the horizontal axis upon which the telescope revolves, and rotates with the telescope. It is usually divided into four quadrants, and is read by the verniers h,h. When the line of collimation...
Page 128 - ... out in such a way as to eliminate, as far as possible, the element of subjective judgment by different interviewers.

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