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 6
... prob- lems ; also a particular description of the several instru- ments used in surveying , with their respective uses . The second section contains the mensuration of heights and distances , with a great variety of problems and prac ...
... prob- lems ; also a particular description of the several instru- ments used in surveying , with their respective uses . The second section contains the mensuration of heights and distances , with a great variety of problems and prac ...
Σελίδα 60
... prob . 2 , The angle BAF - AFE , and by theo . 11 , BA and CD are parallel . ' PROBLEM IX . PL . 1. fig . 17 . Upon a given line AB to describe a square ABCD . Make BC perpendicular and equal to AB , and from A and C , with the line AB ...
... prob . 2 , The angle BAF - AFE , and by theo . 11 , BA and CD are parallel . ' PROBLEM IX . PL . 1. fig . 17 . Upon a given line AB to describe a square ABCD . Make BC perpendicular and equal to AB , and from A and C , with the line AB ...
Σελίδα 61
... prob . 8 ) , so is CI the third proportional required . For , by cor . 1 , theo . 20 , CG : CH :: CF : CI . Or , B : A :: A : CI . PROBLEM XII . PL . 2. fig . 17 . Three right lines A , B , C given , to find a fourth proportional ...
... prob . 8 ) , so is CI the third proportional required . For , by cor . 1 , theo . 20 , CG : CH :: CF : CI . Or , B : A :: A : CI . PROBLEM XII . PL . 2. fig . 17 . Three right lines A , B , C given , to find a fourth proportional ...
Σελίδα 62
... prob . 8 ) , so is E the point of division . For , by theo . 20 , AC : CD :: AE : EB . Or , C : D :: AE :: EB . PROBLEM XV . PL . 3. fig . 3 . To describe a circle about a triangle ABC , or ( which is the same thing ) through any three ...
... prob . 8 ) , so is E the point of division . For , by theo . 20 , AC : CD :: AE : EB . Or , C : D :: AE :: EB . PROBLEM XV . PL . 3. fig . 3 . To describe a circle about a triangle ABC , or ( which is the same thing ) through any three ...
Σελίδα 63
... prob . 8 ) DE , meeting AB produced in E ; then draw CE , and ECB will be the triangle required . For the triangles ADC , AEC being upon the same base AC , and under the same parallel ED ( by cor . to theo . 13 ) , will be equal ...
... prob . 8 ) DE , meeting AB produced in E ; then draw CE , and ECB will be the triangle required . For the triangles ADC , AEC being upon the same base AC , and under the same parallel ED ( by cor . to theo . 13 ) , will be equal ...
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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.