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 67
... very clean before the pen is put away . These directions are equally applicable to the ink point of the compasses , only observing , that when an arch or circle is to be described of more than an inch radius DRAWING INSTRUMENTS . 67.
... very clean before the pen is put away . These directions are equally applicable to the ink point of the compasses , only observing , that when an arch or circle is to be described of more than an inch radius DRAWING INSTRUMENTS . 67.
Página 68
... inch radius , the point should be so bent that the blades of the pen may be nearly perpendicular to the paper , and both ... inches when opened ; and a foot sector is two feet long when opened to its greatest extent . scribing the lines ...
... inch radius , the point should be so bent that the blades of the pen may be nearly perpendicular to the paper , and both ... inches when opened ; and a foot sector is two feet long when opened to its greatest extent . scribing the lines ...
Página 69
... inches . 2. A line of latitudes . 3. A line of hours . 4. A line of inclination of meridians . 5. A line of chords . On the other face , three logarithmic scales , namely , one of numbers , one of sines , and one of tangents : these are ...
... inches . 2. A line of latitudes . 3. A line of hours . 4. A line of inclination of meridians . 5. A line of chords . On the other face , three logarithmic scales , namely , one of numbers , one of sines , and one of tangents : these are ...
Página 72
... inches ) , re- quired the sine and tangent of 28 ° 30 ′ to that radius . - Solution . Open the sector so that the transverse distance of 90 and 90 on the sines , or of 45 and 45 on the tangents , may be equal to the given radius , viz ...
... inches ) , re- quired the sine and tangent of 28 ° 30 ′ to that radius . - Solution . Open the sector so that the transverse distance of 90 and 90 on the sines , or of 45 and 45 on the tangents , may be equal to the given radius , viz ...
Página 74
... inch . Hence a variety of scales is useful to lay down lines of any required length , and of a convenient proportion with respect to the size of the draw- ing . If none of the scales happen to suit the ... inches , the 74 MATHEMATICAL.
... inch . Hence a variety of scales is useful to lay down lines of any required length , and of a convenient proportion with respect to the size of the draw- ing . If none of the scales happen to suit the ... inches , the 74 MATHEMATICAL.
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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.