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 136
... the other into links of the chain . Instead of the latter are sometimes placed the centesimals of a yard , or three feet into 100 equal parts . SECTION II . MENSURATION OF HEIGHTS AND DISTANCES . 1st 136 LIST OF INSTRUMENTS .
... the other into links of the chain . Instead of the latter are sometimes placed the centesimals of a yard , or three feet into 100 equal parts . SECTION II . MENSURATION OF HEIGHTS AND DISTANCES . 1st 136 LIST OF INSTRUMENTS .
Σελίδα 137
... height is required , and holding it perpendicular , so that the plummet may neither swing from it , nor lie on it ... HEIGHTS . 137 Mensuration of Heights.
... height is required , and holding it perpendicular , so that the plummet may neither swing from it , nor lie on it ... HEIGHTS . 137 Mensuration of Heights.
Σελίδα 138
... height of the steeple . The figure is constructed and wrought , in all respects , as Case 2 of right - angled trigonometry ; only there must be a line drawn parallel to and beneath AB , of 5 feet , for the observer's height , to ...
... height of the steeple . The figure is constructed and wrought , in all respects , as Case 2 of right - angled trigonometry ; only there must be a line drawn parallel to and beneath AB , of 5 feet , for the observer's height , to ...
Σελίδα 139
... height of the observer . Their sum is 117.8 or 118 feet , the height of the steeple re- quired . PROBLEM II PL . 5. fig . 20 . To find the height of a perpendicular object , on a horizontal plane , by having the length of the shadow ...
... height of the observer . Their sum is 117.8 or 118 feet , the height of the steeple re- quired . PROBLEM II PL . 5. fig . 20 . To find the height of a perpendicular object , on a horizontal plane , by having the length of the shadow ...
Σελίδα 140
... height of the object . By Construction . Draw an indefinite blank line AD at any point in which A makes the angles EAB of 55 ° 15 ' , and EAC of 31 ° 15 ' ; lay 250 from A to B ; from B draw the perpendicular BE ( by prob . 7 of ...
... height of the object . By Construction . Draw an indefinite blank line AD at any point in which A makes the angles EAB of 55 ° 15 ' , and EAC of 31 ° 15 ' ; lay 250 from A to B ; from B draw the perpendicular BE ( by prob . 7 of ...
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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.