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 30
... fourth by 7 , & c . , and let these quotients be written orderly under one another ; add them together , and their sum will be a logarithm . To this logarithm add the logarithm of the next less number , and the sum will be the logarithm ...
... fourth by 7 , & c . , and let these quotients be written orderly under one another ; add them together , and their sum will be a logarithm . To this logarithm add the logarithm of the next less number , and the sum will be the logarithm ...
Página 36
... fourth term , or answer . Or , -add together the arithmetical complement of the loga- rithm of the first term , and the logarithms of the second and third terms ; the sum , rejecting 10 from the index , will be the logarithm of the fourth ...
... fourth term , or answer . Or , -add together the arithmetical complement of the loga- rithm of the first term , and the logarithms of the second and third terms ; the sum , rejecting 10 from the index , will be the logarithm of the fourth ...
Página 37
... fourth proportional to 98.45 , 1.969 , and 347.2 . 98.45 : Log . = € 1.993216 347.2 :: Log . = 2.540580 1.969 : Log . = 0.294246 2.834826 Answer = 6.944 = 0.841610 3d . What number will have the same proportion to .8538 as .3275 has to ...
... fourth proportional to 98.45 , 1.969 , and 347.2 . 98.45 : Log . = € 1.993216 347.2 :: Log . = 2.540580 1.969 : Log . = 0.294246 2.834826 Answer = 6.944 = 0.841610 3d . What number will have the same proportion to .8538 as .3275 has to ...
Página 38
... fourth proportional to .05764 , .7186 , and .34721 , by logarithms . Ans . 4.328681 . 6. Find a fourth proportional to 12.687 , 14.065 , and 100.979 , by logarithms . Ans . 112.0263 . Ans . 16.7051 . Ans . .8240216 . 7. Find a mean ...
... fourth proportional to .05764 , .7186 , and .34721 , by logarithms . Ans . 4.328681 . 6. Find a fourth proportional to 12.687 , 14.065 , and 100.979 , by logarithms . Ans . 112.0263 . Ans . 16.7051 . Ans . .8240216 . 7. Find a mean ...
Página 40
... fourth root of .967845 , by logarithms . Ans . .9918624 . 7. To find the cube root of 2.987635 . Ans . 1.440265 . 8. To find the cube root of 3.14159 Ans . .6827842 . 9. To find the value of ( .001234 ) . Ans . .0115047 . 10. To find ...
... fourth root of .967845 , by logarithms . Ans . .9918624 . 7. To find the cube root of 2.987635 . Ans . 1.440265 . 8. To find the cube root of 3.14159 Ans . .6827842 . 9. To find the value of ( .001234 ) . Ans . .0115047 . 10. To find ...
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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.