The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesHarper, 1832 - 348 páginas |
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Página 82
... object of what is called Plane Trigo- nometry , because the six parts considered here are in the same plane it is also denominated Rectilineal Trigonometry . The second question belongs to Spherical Trigonometry , wherein the six parts ...
... object of what is called Plane Trigo- nometry , because the six parts considered here are in the same plane it is also denominated Rectilineal Trigonometry . The second question belongs to Spherical Trigonometry , wherein the six parts ...
Página 110
... object fixed . in the extreme point of the line to be measured ; this is a di- rection for the hinder chainman to govern the foremost one by , in order that the distance may be measured in a right line ; for if the hinder chainman ...
... object fixed . in the extreme point of the line to be measured ; this is a di- rection for the hinder chainman to govern the foremost one by , in order that the distance may be measured in a right line ; for if the hinder chainman ...
Página 120
... object be set at B , draw yourself backward to any convenient distance C , so that B may cover A ; from B , lay off any other distance by the river's side to E , and complete the parallelogram EBCD : stand at D , and cause a mark to be ...
... object be set at B , draw yourself backward to any convenient distance C , so that B may cover A ; from B , lay off any other distance by the river's side to E , and complete the parallelogram EBCD : stand at D , and cause a mark to be ...
Página 121
... object to take your view to : then having placed your instru- ment horizontally ( which is easily done by turning the box so that the ends of the needle may be equidistant from its bottom , and it traverses or plays freely ) turn the ...
... object to take your view to : then having placed your instru- ment horizontally ( which is easily done by turning the box so that the ends of the needle may be equidistant from its bottom , and it traverses or plays freely ) turn the ...
Página 122
... object stood , as at B , for your second station , and send him forward to the next angle of the field , as at C ; and having placed the instrument in a horizon- tal direction , with the sights directed to the object at C , and the ...
... object stood , as at B , for your second station , and send him forward to the next angle of the field , as at C ; and having placed the instrument in a horizon- tal direction , with the sights directed to the object at C , and the ...
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Términos y frases comunes
ABCD acres altitude arch azimuth base bearing blank line centre chains and links circle circumferentor co-sine column compasses contained cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance method multiplied needle nonius number of degrees object observed offsets opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal SCHOLIUM screw secant sect sector semicircle side square root station stationary distance subtract suppose survey taken tangent theo theodolite THEOREM third trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Página 49 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 163 - RULE. From half the sum of the three sides subtract each side severally.
Página 41 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 97 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 24 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.