The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this ArtE. Duyckinck, 1821 - 544 σελίδες |
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Σελίδα 47
... degrees as the arc HB does ; so if the arc HB is 60 degrees , the angle HCB is an angle of 60 degrees . Hence angles are greater or less according as the arc described about the angular point , and terminated by the two sides , contains ...
... degrees as the arc HB does ; so if the arc HB is 60 degrees , the angle HCB is an angle of 60 degrees . Hence angles are greater or less according as the arc described about the angular point , and terminated by the two sides , contains ...
Σελίδα 56
... degrees , therefore 180 -the given angle will be equal to the sum of the other two ; or 180 - the sum of two given an- gles gives the other one . Cor . 2. In every right angled triangle , the two acute angles are = 90 degrees , or to ...
... degrees , therefore 180 -the given angle will be equal to the sum of the other two ; or 180 - the sum of two given an- gles gives the other one . Cor . 2. In every right angled triangle , the two acute angles are = 90 degrees , or to ...
Σελίδα 63
... degrees is always equal in length to the radius . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn : then AB - CB — AC . In the triangle ABC , the angle ACB is 60 de- grees , being measured by ...
... degrees is always equal in length to the radius . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn : then AB - CB — AC . In the triangle ABC , the angle ACB is 60 de- grees , being measured by ...
Σελίδα 77
... degrees , at the point A , of the line AB , suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius , ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from ...
... degrees , at the point A , of the line AB , suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius , ( by cor . theo . 15. ) and with that distance from A , as a centre , describe a circle from ...
Σελίδα 78
... degrees , as re- quired . If the given angle be more than 90 ° , take its half ( or divide it into any two parts less than 90 ) and lay them after each other on the arc , which is described with the chord of 60 degrees ; through the ...
... degrees , as re- quired . If the given angle be more than 90 ° , take its half ( or divide it into any two parts less than 90 ) and lay them after each other on the arc , which is described with the chord of 60 degrees ; through the ...
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ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal diagonal difference of latitude Dist 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 Logarithms measure meridian distance multiplied Natural Co-sines natural number natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole PROB proportional protractor Quadrant quotient radius rhombus right angles right line screw Secant sect semicircle side square root station subtract survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
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Σελίδα 246 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 58 - 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 231 - RULE. From half the sum of the three sides subtract each side severally.
Σελίδα 45 - 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 14 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Σελίδα 5 - His method is founded on these three considerations: 1st, that the sum of the logarithms of any two numbers is the logarithm of the product of...
Σελίδα 91 - ... scale. Given the length of the sine, tangent, or secant of any degrees, to find the length of the radius to that sine, tangent, or secant.
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.
Σελίδα 30 - Then, because the sum of the logarithms of numbers, gives the logarithm of their product ; and the difference of the logarithms, gives the logarithm of the quotient of the numbers ; from the above two logarithms, and the logarithm of 10, which is 1, we may obtain a great many logarithms, as in the following examples : EXAMPLE 3.
Σελίδα 211 - At 170 feet distance from the bottom of a tower, the angle of its elevation was found to be 52° 30' : required the altitude of the tower ? Ans.