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 42
... secant of the arc HB , fig . 8 . 24. What an arc wants of a quadrant is called the comple- ment thereof : thus DH is the complement of the arc HB , fig . 8 . 25. And what an arc wants of a semicircle is called the sup- * For the ...
... secant of the arc HB , fig . 8 . 24. What an arc wants of a quadrant is called the comple- ment thereof : thus DH is the complement of the arc HB , fig . 8 . 25. And what an arc wants of a semicircle is called the sup- * For the ...
Página 43
... secant of the arc itself : thus FH is the sine , DI the tangent , and CI the secant of the arc DH : or they are the co - sine , co - tangent , or co - secant of the arc HB , fig . 8 . 27. The sine of the supplement of an arc is the same ...
... secant of the arc itself : thus FH is the sine , DI the tangent , and CI the secant of the arc DH : or they are the co - sine , co - tangent , or co - secant of the arc HB , fig . 8 . 27. The sine of the supplement of an arc is the same ...
Página 57
... secant , and CI its co- secant . Fig . 8 . 1. The cosine of an arc is to the sine as the radius is to the tangent . 2. The radius is to the tangent of an arc as the cosine of it is to the sine . 3. The sine of an arc is to its cosine as ...
... secant , and CI its co- secant . Fig . 8 . 1. The cosine of an arc is to the sine as the radius is to the tangent . 2. The radius is to the tangent of an arc as the cosine of it is to the sine . 3. The sine of an arc is to its cosine as ...
Página 64
... secants with any radius . On the line AB , let a semicircle ADB be described ; let CDF be drawn perpendicular to this line from the centre C ; and the tangent BE perpendicular to the end of the diameter ; let the quadrants AD , DB be ...
... secants with any radius . On the line AB , let a semicircle ADB be described ; let CDF be drawn perpendicular to this line from the centre C ; and the tangent BE perpendicular to the end of the diameter ; let the quadrants AD , DB be ...
Página 68
... L. Each of these scales , from the great extensiveness of its use , is called the line of lines . 2. Two lines of chords , marked cнo . or c . 3. Two lines of secants , marked SEC . or s . A line of polygons 68 MATHEMATICAL.
... L. Each of these scales , from the great extensiveness of its use , is called the line of lines . 2. Two lines of chords , marked cнo . or c . 3. Two lines of secants , marked SEC . or s . A line of polygons 68 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.