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 11
... suppose unity or any one thing to be divided into any assigned number of equal parts , this number is called the de- nominator ; and if we choose to take any number Sect PART I Decimal Fractions Involution and Evolu-
... suppose unity or any one thing to be divided into any assigned number of equal parts , this number is called the de- nominator ; and if we choose to take any number Sect PART I Decimal Fractions Involution and Evolu-
Σελίδα 54
... suppose that to be 4g , which will be contained twice in AB , and three times in BD , the parts Ag , gB , Bh , hi , and iD being all equal , and let the lines gC , hC , and iC be drawn : then ( by cor . to theo . 13 ) all the small ...
... suppose that to be 4g , which will be contained twice in AB , and three times in BD , the parts Ag , gB , Bh , hi , and iD being all equal , and let the lines gC , hC , and iC be drawn : then ( by cor . to theo . 13 ) all the small ...
Σελίδα 58
... suppose one triangle be laid on the other , the sides will mutually agree with each other , and therefore be equal ; if we consider these two triangles to be made of the same three given lines , they are manifestly one and the same ...
... suppose one triangle be laid on the other , the sides will mutually agree with each other , and therefore be equal ; if we consider these two triangles to be made of the same three given lines , they are manifestly one and the same ...
Σελίδα 62
... suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius ( by cor . theo . 15 ) , and with that distance from A as a centre , describe a circle from the line AB ; take 45 degrees , the quantity of ...
... suppose of 45 degrees . From a scale of chords take 60 degrees , for 60 ° is equal to the radius ( by cor . theo . 15 ) , and with that distance from A as a centre , describe a circle from the line AB ; take 45 degrees , the quantity of ...
Σελίδα 72
... ( suppose 60 ° ) is found thus . Make the given radius , suppose two inches , a transverse dis- tance to 45 and 45 at the beginning of the scale of upper tan- gents ; and then the required number 60 ° may be taken from this scale . Given ...
... ( suppose 60 ° ) is found thus . Make the given radius , suppose two inches , a transverse dis- tance to 45 and 45 at the beginning of the scale of upper tan- gents ; and then the required number 60 ° may be taken from this scale . Given ...
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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.