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 σελίδες |
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Σελίδα 48
... sides AB , AC in the one severally equal to DE , DF in the other , and the angle A contained be- tween the two sides in the one equal to D in the other ; then the remaining angles of the one will be severally equal to those of the other ...
... sides AB , AC in the one severally equal to DE , DF in the other , and the angle A contained be- tween the two sides in the one equal to D in the other ; then the remaining angles of the one will be severally equal to those of the other ...
Σελίδα 49
... sides of a triangle abc be equal to each other , that is , ac = cb , the angles which are opposite to those equal sides will also be equal to each other ; viz . a = b . For let the triangle abc be divided into two triangles acd , dcb ...
... sides of a triangle abc be equal to each other , that is , ac = cb , the angles which are opposite to those equal sides will also be equal to each other ; viz . a = b . For let the triangle abc be divided into two triangles acd , dcb ...
Σελίδα 51
... side is the sine of the opposite angle . Let the circle ADB be drawn through the points A , B , D ; then the angle ... sides of a parallelogram are equal ; for it has been proved that , ABCD being a parallelogram , AB will be CD , and AD ...
... side is the sine of the opposite angle . Let the circle ADB be drawn through the points A , B , D ; then the angle ... sides of a parallelogram are equal ; for it has been proved that , ABCD being a parallelogram , AB will be CD , and AD ...
Σελίδα 52
... side , BC , or BCMH , is equal to the sum of the squares made on the other two sides AB and AC , that is , ABDE and ACGF . Through A draw AKL perpendicular to the hypothenuse BC , join AH , AM , DC , and BG ; in the triangles BDC , ABH ...
... side , BC , or BCMH , is equal to the sum of the squares made on the other two sides AB and AC , that is , ABDE and ACGF . Through A draw AKL perpendicular to the hypothenuse BC , join AH , AM , DC , and BG ; in the triangles BDC , ABH ...
Σελίδα 53
... side given to find the other ; the square root of the difference of the squares of the hypothenuse and given side will be the required side . THEOREM XV . PL . 1. fig . 33 . In all circles the chord of 60 degrees is always equal in ...
... side given to find the other ; the square root of the difference of the squares of the hypothenuse and given side will be the required side . THEOREM XV . PL . 1. fig . 33 . In all circles the chord of 60 degrees is always equal in ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Σελίδα 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.
Σελίδα 163 - RULE. From half the sum of the three sides subtract each side severally.
Σελίδα 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.
Σελίδα 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.
Σελίδα 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Σελίδα 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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.