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 páginas |
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Página 35
... difference of the affirmative and negative indices must be taken for the index to the logarithm of the quotient . Likewise when 1 has been borrowed in the left - hand place of the decimal part of the logarithm , add it to the index of ...
... difference of the affirmative and negative indices must be taken for the index to the logarithm of the quotient . Likewise when 1 has been borrowed in the left - hand place of the decimal part of the logarithm , add it to the index of ...
Página 38
... difference is the index of the product , which difference must be considered of the same kind with the greater , or that which was made the minuend . EXAMPLES . 1. What is the second power of 3.874 ? Log . of 3.874 0.588160 Index = 2 ...
... difference is the index of the product , which difference must be considered of the same kind with the greater , or that which was made the minuend . EXAMPLES . 1. What is the second power of 3.874 ? Log . of 3.874 0.588160 Index = 2 ...
Página 39
... difference is -1 , the index of the product . 5. To find the 4th power of .09163 . 6. To find the 2d power of 6.05987 . 7. To find the cube of 3.07146 . 8. To find the 7th power of 1.09684 . 9. To find the 365th power of 1.0045 ...
... difference is -1 , the index of the product . 5. To find the 4th power of .09163 . 6. To find the 2d power of 6.05987 . 7. To find the cube of 3.07146 . 8. To find the 7th power of 1.09684 . 9. To find the 365th power of 1.0045 ...
Página 53
... difference of the squares of the hypothenuse and given side will be the required side . THEOREM XV . PL . 1. fig . 33 . In all circles the chord of 60 degrees is always equal in length to the radius . Thus in the circle AEBD , if the ...
... difference of the squares of the hypothenuse and given side will be the required side . THEOREM XV . PL . 1. fig . 33 . In all circles the chord of 60 degrees is always equal in length to the radius . Thus in the circle AEBD , if the ...
Página 66
... difference in the texture and pores of the two metals causes the parts to adhere less together , di- minishes the wear , and promotes uniformity in their motion . The truth of the work is ascertained by the smoothness and equality of ...
... difference in the texture and pores of the two metals causes the parts to adhere less together , di- minishes the wear , and promotes uniformity in their motion . The truth of the work is ascertained by the smoothness and equality of ...
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Términos y frases comunes
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
Pasajes populares
Página 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Página 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.
Página 163 - RULE. From half the sum of the three sides subtract each side severally.
Página 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.
Página 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.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 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.
Página 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.