A Treatise of Practical Surveying, ...1808 - 440 σελίδες |
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Σελίδα
... heights and distances . The third section gives an account of the chains and measures used in Great - Britain an Ireland ; methods of surveying and of taking inaccessible distances by the chain only , with some necessary problems ; also ...
... heights and distances . The third section gives an account of the chains and measures used in Great - Britain an Ireland ; methods of surveying and of taking inaccessible distances by the chain only , with some necessary problems ; also ...
Σελίδα 22
... height of the triangle ABC , standing on BC as its base . fig . 16 . Hence all triangles between the same parallels have the same height , since all the perpendiculars are equal from the nature of parallels . 43. Any figure of four ...
... height of the triangle ABC , standing on BC as its base . fig . 16 . Hence all triangles between the same parallels have the same height , since all the perpendiculars are equal from the nature of parallels . 43. Any figure of four ...
Σελίδα 75
... Heights and Distances . Plane Trigonometry S the science of measuring the sides and an- parts , viz . into rectangular and oblique angular trigonometry , because every triangle is either right- angled or oblique ; therefore we shall ...
... Heights and Distances . Plane Trigonometry S the science of measuring the sides and an- parts , viz . into rectangular and oblique angular trigonometry , because every triangle is either right- angled or oblique ; therefore we shall ...
Σελίδα 106
... heights and dis- tances . And first , OF OF HEIGHTS . Plate V. TH HE instrument of least 106 PLANE TRIGONOMETRY . Having thus gone through plane trigonometry, ...
... heights and dis- tances . And first , OF OF HEIGHTS . Plate V. TH HE instrument of least 106 PLANE TRIGONOMETRY . Having thus gone through plane trigonometry, ...
Σελίδα 107
... heights , is a quadrant , divided into 90 equal parts or degrees ; and those may be subdivided into halves , quarters ... height is re- quired ; and holding it perpendicular , so that the plummet may neither swing from it , nor lie on it ...
... heights , is a quadrant , divided into 90 equal parts or degrees ; and those may be subdivided into halves , quarters ... height is re- quired ; and holding it perpendicular , so that the plummet may neither swing from it , nor lie on it ...
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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.