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 5
... and clear course of Surveying : how far I have succeeded in it must be determined by the impartial reader . The steps I have taken to render the whole evident and familiar are as follow : - In section the first ( Part the First ) you.
... and clear course of Surveying : how far I have succeeded in it must be determined by the impartial reader . The steps I have taken to render the whole evident and familiar are as follow : - In section the first ( Part the First ) you.
Σελίδα 10
... taken from 6 . 7 × 3 , or 7. 3 , denotes that 7 is to be multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 :: 4 : 6 , shows that 2 is to 3 as 4 is to 6 . 6 +4 = 10 , shows that the sum of 6 and 4 is equal to 10 . √3 ...
... taken from 6 . 7 × 3 , or 7. 3 , denotes that 7 is to be multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 :: 4 : 6 , shows that 2 is to 3 as 4 is to 6 . 6 +4 = 10 , shows that the sum of 6 and 4 is equal to 10 . √3 ...
Σελίδα 28
... taken kinds of geometrical series . But the logarithms most convenient for common uses are those adapted to a geometrical series increasing in a tenfold progres- sion , as in the last of the foregoing examples . ` In the geometrical ...
... taken kinds of geometrical series . But the logarithms most convenient for common uses are those adapted to a geometrical series increasing in a tenfold progres- sion , as in the last of the foregoing examples . ` In the geometrical ...
Σελίδα 35
... taken from the decimals is taken as -1 , which when added to 2 , the index of the dividend , leaves 1 for the index of the quotient ; that is , 2—1—1 . Example 2. Divide 15.31 by 46.75 . Log . of 15.31 Log . of 46.75 Quotient = .3275 ...
... taken from the decimals is taken as -1 , which when added to 2 , the index of the dividend , leaves 1 for the index of the quotient ; that is , 2—1—1 . Example 2. Divide 15.31 by 46.75 . Log . of 15.31 Log . of 46.75 Quotient = .3275 ...
Σελίδα 36
... taken from 10 ; but if the index exceed 9 , it must be taken from 19. - It is frequently used in the rule of Proportion and Trigonometrical calculations , to change subtractions into additions . * * When the index is negative add it to ...
... taken from 10 ; but if the index exceed 9 , it must be taken from 19. - It is frequently used in the rule of Proportion and Trigonometrical calculations , to change subtractions into additions . * * When the index is negative add it to ...
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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.