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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Αποτελέσματα 6 - 10 από τα 88.
Σελίδα 45
... drawn from any one given point to another . 2. That a right line may be produced or con- tinued at pleasure . 3. That from any centre and with any radius , the circumference of a circle may be described . 4. It is also required that the ...
... drawn from any one given point to another . 2. That a right line may be produced or con- tinued at pleasure . 3. That from any centre and with any radius , the circumference of a circle may be described . 4. It is also required that the ...
Σελίδα 47
... drawn from one point , on the same side of a right line ; all the angles made by these lines will be equal to two right lines . 2. And all the angles which can be made about a point , will be equal to four right angles . THEO . II . PL ...
... drawn from one point , on the same side of a right line ; all the angles made by these lines will be equal to two right lines . 2. And all the angles which can be made about a point , will be equal to four right angles . THEO . II . PL ...
Σελίδα 49
... drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B , ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ( by part . 2. of the last . ) Therefore ECD ...
... drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B , ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ( by part . 2. of the last . ) Therefore ECD ...
Σελίδα 51
... drawn right lines to the extremeties of the given one , they with it will form an isosceles triangle . THEO . VII ... draw the line ACE : then the angle ECD CAD , + CDA ; ( by theo . 4. ) but since AC = CD being radii of the same circle ...
... drawn right lines to the extremeties of the given one , they with it will form an isosceles triangle . THEO . VII ... draw the line ACE : then the angle ECD CAD , + CDA ; ( by theo . 4. ) but since AC = CD being radii of the same circle ...
Σελίδα 52
... drawn from the centre to the extremities of the chord , then since CA CB , the angles CAB = CBA ( by the lemma . ) But the triangles ADC , BDC are right angled ones , since the line CD is a perpendicular ; and so the angle ACD = DCB ...
... drawn from the centre to the extremities of the chord , then since CA CB , the angles CAB = CBA ( by the lemma . ) But the triangles ADC , BDC are right angled ones , since the line CD is a perpendicular ; and so the angle ACD = DCB ...
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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.