A Treatise of Practical Surveying, ...1808 - 440 σελίδες |
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Αποτελέσματα 1 - 5 από τα 36.
Σελίδα 21
... Parallel lines are such as are equidistant from each other , as AB , CD . fig . 9 . 33 , A figure is a space bounded by a line or lines . If the lines be right it is called a recti- lineal figure , if curved it is called a curvilineal ...
... Parallel lines are such as are equidistant from each other , as AB , CD . fig . 9 . 33 , A figure is a space bounded by a line or lines . If the lines be right it is called a recti- lineal figure , if curved it is called a curvilineal ...
Σελίδα 22
... parallels have the same height , since all the perpendiculars are equal from the nature of parallels . 43. Any figure of four sides is called a quadri- lateral figure . 44. Quadrilateral figures whose opposite sides . are parallel , are ...
... parallels have the same height , since all the perpendiculars are equal from the nature of parallels . 43. Any figure of four sides is called a quadri- lateral figure . 44. Quadrilateral figures whose opposite sides . are parallel , are ...
Σελίδα 24
... parallel , be produced towards their nearest distance , they will intersec each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is a proposition , wherein something NOTES . 24 GEOMETRY .
... parallel , be produced towards their nearest distance , they will intersec each other . 9. Things which mutually agree with each other , are equal . NOTES . A theorem is a proposition , wherein something NOTES . 24 GEOMETRY .
Σελίδα 27
... parallels , as GH does AB and CD . ( fig . 22. ) then , 1. Their external angles are equal to each other , that is , GEB CFH . 2. The alternate angles will be equal , that is , AEF EFD and BEF - CFE . 3. The external angle will be equal ...
... parallels , as GH does AB and CD . ( fig . 22. ) then , 1. Their external angles are equal to each other , that is , GEB CFH . 2. The alternate angles will be equal , that is , AEF EFD and BEF - CFE . 3. The external angle will be equal ...
Σελίδα 28
... parallel to CD , they may be con- sidered as one broad line , crossed by another line , as GH ; ( then by the last theo . ) GEB⇒CFH , and AEG HFD . 2. Also GEBAEF , and CFH - EFD ; but GEB = CFH ( by part 1. of this theo . ) therefore ...
... parallel to CD , they may be con- sidered as one broad line , crossed by another line , as GH ; ( then by the last theo . ) GEB⇒CFH , and AEG HFD . 2. Also GEBAEF , and CFH - EFD ; but GEB = CFH ( by part 1. of this theo . ) therefore ...
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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.