A Treatise of Practical Surveying, ...1808 - 440 σελίδες |
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Σελίδα 18
... perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . , The sines on the same diameter increase till they come to the centre , and so become the ra- dius ...
... perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . , The sines on the same diameter increase till they come to the centre , and so become the ra- dius ...
Σελίδα 19
... perpendicular to the end of the diameter , and is terminated by a line drawn from the centre 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 ...
... perpendicular to the end of the diameter , and is terminated by a line drawn from the centre 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 ...
Σελίδα 22
... perpendicular height of a triangle is a line drawn from the vertex to the base perpen- dicularly thus if the triangle ABC , be propos- ed , and BC be made its base , then if from the vertex A the perpendicular AD be drawn to BC , the ...
... perpendicular height of a triangle is a line drawn from the vertex to the base perpen- dicularly thus if the triangle ABC , be propos- ed , and BC be made its base , then if from the vertex A the perpendicular AD be drawn to BC , the ...
Σελίδα 32
... perpendicular CD on the chord AB , it will bisect it in the point D. fig . 29 . Let the lines CA and CB be drawn from the centre to the extremities of the chord , then since CA = CB , the angle CAB CBA ( by the lem- ma . ) But the ...
... perpendicular CD on the chord AB , it will bisect it in the point D. fig . 29 . Let the lines CA and CB be drawn from the centre to the extremities of the chord , then since CA = CB , the angle CAB CBA ( by the lem- ma . ) But the ...
Σελίδα 33
... perpendicular to a chord , bisects that chord at right angles ; there- fore , conversely , a line bisecting a chord at right angles must pass through the centre , and conse- quently be a diameter . THE O. IX . If from the centre of a ...
... perpendicular to a chord , bisects that chord at right angles ; there- fore , conversely , a line bisecting a chord at right angles must pass through the centre , and conse- quently be a diameter . THE O. IX . If from the centre of a ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 199 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 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.
Σελίδα 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.
Σελίδα 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 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.
Σελίδα 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Σελίδα 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.
Σελίδα 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.