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 60
... PROBLEM VIII . PL . 2. fig . 14 . Through a given point A to draw a right line AB , parallel to a given right line CD . From the point A to any point F in the line CD draw the line AF ; with the interval FA , and one foot of the ...
... PROBLEM VIII . PL . 2. fig . 14 . Through a given point A to draw a right line AB , parallel to a given right line CD . From the point A to any point F in the line CD draw the line AF ; with the interval FA , and one foot of the ...
Página 61
... PROBLEM XI . PL . 2. fig . 16 . To find a third proportional to two given right lines A and B. Draw two indefinite blank lines CE , CD anywise to make any angle . Lay the line A from C to F , and the line B from C to G , and draw the ...
... PROBLEM XI . PL . 2. fig . 16 . To find a third proportional to two given right lines A and B. Draw two indefinite blank lines CE , CD anywise to make any angle . Lay the line A from C to F , and the line B from C to G , and draw the ...
Página 62
... PROBLEM XIV . PL . 3. fig . 2 . To divide a right line AB in the point E , so that AE shall have the same proportion to EB as two given lines C and D have . Draw an indefinite blank line AF to the extremity of the line AB , to make with ...
... PROBLEM XIV . PL . 3. fig . 2 . To divide a right line AB in the point E , so that AE shall have the same proportion to EB as two given lines C and D have . Draw an indefinite blank line AF to the extremity of the line AB , to make with ...
Página 63
... PROBLEM XVII . PL . 3. fig . 5 . To measure a given angle ABC . If the lines which include the angle be not as long as the chord of 60 ° on your scale , produce them to that or a greater ... PROBLEM XX . PL . 3. fig . 8 . PROBLEMS . 63.
... PROBLEM XVII . PL . 3. fig . 5 . To measure a given angle ABC . If the lines which include the angle be not as long as the chord of 60 ° on your scale , produce them to that or a greater ... PROBLEM XX . PL . 3. fig . 8 . PROBLEMS . 63.
Página 80
... problems . , Tangents . The line of tangents begins at the left - hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 , 30 , 45 , where there is a little brass pin just under 90 in the line of sines , because the sine of 90 ° is ...
... problems . , Tangents . The line of tangents begins at the left - hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 , 30 , 45 , where there is a little brass pin just under 90 in the line of sines , because the sine of 90 ° is ...
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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.