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 24
... given number have been used , proceed in the same manner to find decimals , adding , to find each figure , two ciphers , or if the given number end in an interminate decimal , the two figures that would next arise from its continuation ...
... given number have been used , proceed in the same manner to find decimals , adding , to find each figure , two ciphers , or if the given number end in an interminate decimal , the two figures that would next arise from its continuation ...
Página 25
... given number are exhausted . Then find the greatest cube number contained in the first period , and place the cube root of it in the quotient . Subtract its cube from the first period , and bring down the next three figures ; divide the ...
... given number are exhausted . Then find the greatest cube number contained in the first period , and place the cube root of it in the quotient . Subtract its cube from the first period , and bring down the next three figures ; divide the ...
Página 27
... given number , whether it be greater or less , and call it the assumed cube . 2. Then say , by the Rule of Three , as the sum of the given number and double the assumed cube is to the sum of the as- sumed , and double the given number ...
... given number , whether it be greater or less , and call it the assumed cube . 2. Then say , by the Rule of Three , as the sum of the given number and double the assumed cube is to the sum of the as- sumed , and double the given number ...
Página 28
... given or inva- riable number must be raised , in order to produce all the common or natural numbers , therefore by assuming xa , then by squaring xoaa hence a2 = a , and consequently by division a = 1 , from whence it is evi- dent that ...
... given or inva- riable number must be raised , in order to produce all the common or natural numbers , therefore by assuming xa , then by squaring xoaa hence a2 = a , and consequently by division a = 1 , from whence it is evi- dent that ...
Página 33
... given logarithm therein , — likewise for particular rules concerning the indices , the reader will consult Table 1 , with its explanation at the end of this treatise . MULTIPLICATION . Two or more numbers being given , to find their ...
... given logarithm therein , — likewise for particular rules concerning the indices , the reader will consult Table 1 , with its explanation at the end of this treatise . MULTIPLICATION . Two or more numbers being given , to find their ...
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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.