The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 σελίδες |
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Σελίδα 59
... bases . Q. E. D. Note . Wherever there are several quantities connected with the sign ( :) the conclusion is al ... base BE and under the same parallel CD , will be equal ( by cor . to theo . 13. ) therefore ( by theo . 18 ) AB : BC ...
... bases . Q. E. D. Note . Wherever there are several quantities connected with the sign ( :) the conclusion is al ... base BE and under the same parallel CD , will be equal ( by cor . to theo . 13. ) therefore ( by theo . 18 ) AB : BC ...
Σελίδα 66
... base AE = the base BE . Cor . Hence it is manifest , that CD not only bi- sects AB , but is perpendicular to it , ( by def . 11. ) PROB . V. PL . 2. fig . 11 . On a given point A , in a right line EF , to erect a perpen- dicular . From ...
... base AE = the base BE . Cor . Hence it is manifest , that CD not only bi- sects AB , but is perpendicular to it , ( by def . 11. ) PROB . V. PL . 2. fig . 11 . On a given point A , in a right line EF , to erect a perpen- dicular . From ...
Σελίδα 73
... base AC , and under the same parallel ED , ( by cor . to theo . 13. ) will be equal , therefore if ABC be added to each , then ABCD = BEC , PROB . XIX . PL . 3. fig . 7 . To make a triangle DFH , equal to a given five - sided figure ...
... base AC , and under the same parallel ED , ( by cor . to theo . 13. ) will be equal , therefore if ABC be added to each , then ABCD = BEC , PROB . XIX . PL . 3. fig . 7 . To make a triangle DFH , equal to a given five - sided figure ...
Σελίδα 104
... base and per pendicular . = PL . 5. Fig . 4 . In the right angled triangle ABC , suppose the angle A 46 ° . 30. and consequently the angle C 43 ° . 30. ( by cor . 2. theo . 5. ) ; and AC 250 parts , ( as feet , yards , miles , & c ...
... base and per pendicular . = PL . 5. Fig . 4 . In the right angled triangle ABC , suppose the angle A 46 ° . 30. and consequently the angle C 43 ° . 30. ( by cor . 2. theo . 5. ) ; and AC 250 parts , ( as feet , yards , miles , & c ...
Σελίδα 108
... Base = 172.088750 Perpend . 181.343500 CASE II . The base and angles given ; to find the perpendicular and hy . , pothenuse . PL . 5. fig . 5 . In the triangle ABC there is the angle A 42o 20 , and of course the angle C 47 ° 40 ′ ( by ...
... Base = 172.088750 Perpend . 181.343500 CASE II . The base and angles given ; to find the perpendicular and hy . , pothenuse . PL . 5. fig . 5 . In the triangle ABC there is the angle A 42o 20 , and of course the angle C 47 ° 40 ′ ( by ...
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acres altitude Answer arch base bearing blank line centre chains and links circle circle of latitude circumferentor Co-sec Co-tang column compasses contained decimal difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given angle given number half the sum Horizon glass hypothenuse inches instrument latitude length logarithm measure meridian distance minutes multiplied natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole pole star PROB proportion protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect semicircle side sights square root station stationary distance subtracted survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Δημοφιλή αποσπάσματα
Σελίδα 52 - 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 39 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Σελίδα 18 - DISTINGUISH the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points shew the number of figures the root will consist of. 2. " FIND the greatest square number in the first, or left hand period...
Σελίδα 120 - 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 31 - 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.
Σελίδα 87 - On the line of lines make the lateral distance 10, a transverse distance between 8 on one leg, and 6 on the other leg. On the line of sines make the lateral distance 90, a transverse distance from 45 to 45 ; or from 40 to 50 ; or from 30 to 60 ; or from the sine of any degree to their complement.
Σελίδα 7 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 82 - ... longer than the intermediate adjacent ones, these are whole degrees ; the shorter ones, or those of the third order, are 30 minutes. From the centre, to 60 degrees, the line of sines is divided like the line of tangents ; from 60 to 70, it is divided only to every degree ; from 70 to 80, to every two degrees ; from 80 to 90, the division must be estimated by the eye.