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 29
... half the sum of the spaces AD and Ad will be 0.1+ and the half diff . + + 0.001 0.00001 0.0000001 3 5 7 0.01 0.0001 0.000001 Which reduced will stand thus , & c . 0.00000001 & c . 8 , 0.1000000000000,0.0050000000000 Sum of these ...
... half the sum of the spaces AD and Ad will be 0.1+ and the half diff . + + 0.001 0.00001 0.0000001 3 5 7 0.01 0.0001 0.000001 Which reduced will stand thus , & c . 0.00000001 & c . 8 , 0.1000000000000,0.0050000000000 Sum of these ...
Σελίδα 49
... sum is double to either of them , that is , DAC + ADC is double to CAD , and therefore ECD is double to CAD ; after ... half the arc it subtends or stands on . Fig . 26 . Cor . 2. Hence all angles at the circumference of a circle which stand ...
... sum is double to either of them , that is , DAC + ADC is double to CAD , and therefore ECD is double to CAD ; after ... half the arc it subtends or stands on . Fig . 26 . Cor . 2. Hence all angles at the circumference of a circle which stand ...
Σελίδα 52
... half of the square ABDE ( by cor . 2 , theo . 12 ) , and the triangle ABH is half the parallelogram BKLH . The same way it may be proved that the square ACGF is equal to the parallelogram KCLM . So ABDE + ACGF the sum of the squares ...
... half of the square ABDE ( by cor . 2 , theo . 12 ) , and the triangle ABH is half the parallelogram BKLH . The same way it may be proved that the square ACGF is equal to the parallelogram KCLM . So ABDE + ACGF the sum of the squares ...
Σελίδα 53
... sum of the other two angles is 120 degrees ( by cor . 1 , theo . 5 ) ; but since AC = CB , the angle CAB = CBA ( by lemma preceding theo . 7 ) ; consequently each of them will be 60 , the half of 120 degrees , and the three angles will ...
... sum of the other two angles is 120 degrees ( by cor . 1 , theo . 5 ) ; but since AC = CB , the angle CAB = CBA ( by lemma preceding theo . 7 ) ; consequently each of them will be 60 , the half of 120 degrees , and the three angles will ...
Σελίδα 96
... half the logarithm of the sum of the squares of the two sides will be the logarithm of the hypothenuse . Thus , * The sum of squares , as before , is 124609 ; its log . is 5.095549 , the half of which is 2.547774 ; and the corresponding ...
... half the logarithm of the sum of the squares of the two sides will be the logarithm of the hypothenuse . Thus , * The sum of squares , as before , is 124609 ; its log . is 5.095549 , the half of which is 2.547774 ; and the corresponding ...
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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.