A Treatise of Practical Surveying, ...1808 - 440 páginas |
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Página 17
... thro ' the centre , and terminating on either side of the circumference ; and it divides the circle and circumference into two equal parts called semicir- cles ; and is double the radius , as AB or DE . fig . 8 . 18. The circumference ...
... thro ' the centre , and terminating on either side of the circumference ; and it divides the circle and circumference into two equal parts called semicir- cles ; and is double the radius , as AB or DE . fig . 8 . 18. The circumference ...
Página 19
... thro ' the other end : thus BK is the tangent of the arc HB . fig . 8 . 25. And the line which terminates the tan- gent , that is CK , is called the secant of the arc HB . fig . 8 . 26. What an arc wants of a quadrant is call- ed the ...
... thro ' the other end : thus BK is the tangent of the arc HB . fig . 8 . 25. And the line which terminates the tan- gent , that is CK , is called the secant of the arc HB . fig . 8 . 26. What an arc wants of a quadrant is call- ed the ...
Página 28
... of its legs , as BC , being produced towards D , it will make the external angle ACD equal to the two internal opposite angles taken fogether . Viz . to B and A. fig . 3 . . Plate I. Thro ' C , let CE be Thro ' 28 GEOMETRICAL.
... of its legs , as BC , being produced towards D , it will make the external angle ACD equal to the two internal opposite angles taken fogether . Viz . to B and A. fig . 3 . . Plate I. Thro ' C , let CE be Thro ' 28 GEOMETRICAL.
Página 29
Robert Gibson . Plate I. Thro ' C , let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ...
Robert Gibson . Plate I. Thro ' C , let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE ; the angle ECD = B ( by part 3. of the last theo . ) and again , since AC cuts the same parallels , the angle ACEA ...
Página 34
... thro ' the points A , B , D ; then the angle DAB is measured by half the arc BKD ( by cor . 1. theo . 7. ) viz . the chord of BK is the measure of the angle BAD ; therefore ( by cor . to the last ) BE the half of BD is the sine of BAD ...
... thro ' the points A , B , D ; then the angle DAB is measured by half the arc BKD ( by cor . 1. theo . 7. ) viz . the chord of BK is the measure of the angle BAD ; therefore ( by cor . to the last ) BE the half of BD is the sine of BAD ...
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A Treatise of Practical Surveying: Which Is Demonstrated From Its First ... Robert Gibson Sin vista previa disponible - 2018 |
Términos y frases comunes
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-fecant Secant Co-fine Co-tang column contained cyphers decimal decimal fraction diameter difference Dift Diſt distance line divided draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument latitude logarithm measure meridian distance method multiplied needle number of degrees object off-sets parallel parallelogram perpendicular piece of ground plane Plate pole Portmarnock PROB protractor quotient radius right angles right line scale of equal second station sect semicircle side sights sine square root stationary distance stationary line sun's survey taken tangent thence theo theodolite thro trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation Vulgar Fraction whence ΙΟ
Pasajes populares
Página 32 - 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 199 - ... that triangles on the same base and between the same parallels are equal...
Página 94 - 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 23 - Four quantities are said to be in proportion when the product of the extremes is equal to that of the means : thus if A multiplied by D, be equal to B multiplied by C, then A is said to be to B as C is to D.
Página 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 37 - ABDE+ACGF the sum of the squares —BKLH-\-KCML, the sum of the two parallelograms or square BCMH; therefore the sum of the squares on AB and AC is equal to the square on BC.
Página 24 - Things that are equal to one and the same thing, are equal to each other. 2. Every whole is greater than its part. % 3. Every whole is equal to all its parts taken together. 4 If to equal things, equal things be added, the whole will be equal. 5. If from equal things, equal things be deducted the remainders will be equal.
Página 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Página 182 - VI. To find the content of a triangular piece of ground, Multiply the base by half the perpendicular, or the perpendicular by half the base ; or take half the product of the base into the perpendicular. The reason hereof is plain, from cor.
Página 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.