A Treatise on Practical Surveying: Which is Demonstrated from Its First Principles : Wherein Every Thing that is Useful and Curious in that Art, is Fully Considered and ExplainedF. Lucas, jun. and Cushing & Jewett, J. Robinson printer, 1822 - 326 σελίδες |
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Σελίδα 48
... D. THEOREM XVIII . Triangles ABC , BCD , and parallelograms ABCF , and BDEC , having the same altitude , have the same proportion between themselves as their bases AB and BD . fig . 36 . fig . 36.11 C E g Let any aliquot part 48 THEOREMS .
... D. THEOREM XVIII . Triangles ABC , BCD , and parallelograms ABCF , and BDEC , having the same altitude , have the same proportion between themselves as their bases AB and BD . fig . 36 . fig . 36.11 C E g Let any aliquot part 48 THEOREMS .
Σελίδα 49
... bases were divided : therefore it will be as the sum of the parts in one base , is to the sum of those in the other , so will be the sum of the small triangles in the first , to the sum of the small triangles in the second triangle ...
... bases were divided : therefore it will be as the sum of the parts in one base , is to the sum of those in the other , so will be the sum of the small triangles in the first , to the sum of the small triangles in the second triangle ...
Σελίδα 50
... base BE and under the same paral- lel CD , will be equal ( by cor . to theo . 13. ) therefore ( by theo . 18. ) AB : BC :: ( BEA : BEC or BEA : BED ) : AE : ED . Q. E. D. Cor . 1. Hence also AC : AB :: AD : AE : For AC : AB :: [ AEC ...
... base BE and under the same paral- lel CD , will be equal ( by cor . to theo . 13. ) therefore ( by theo . 18. ) AB : BC :: ( BEA : BEC or BEA : BED ) : AE : ED . Q. E. D. Cor . 1. Hence also AC : AB :: AD : AE : For AC : AB :: [ AEC ...
Σελίδα 59
... base AE = the base BE . Cor . Hence it is manifest , that CD not only bisects AB , but is perpendicular to it . ( by def . 11. ) PROB . V. On a given point A , in PROBLEMS . 5.9.
... base AE = the base BE . Cor . Hence it is manifest , that CD not only bisects AB , but is perpendicular to it . ( by def . 11. ) PROB . V. On a given point A , in PROBLEMS . 5.9.
Σελίδα 69
... base AC , and under the same parallel ED ( by cor to theo . 13. ) will be equal , therefore if ABC be added to each , then ABCD = BEC . PROB . XIX , To make a triangle DFH , equal to a given five- sided figure ABCDE . fig 59 . H E fig ...
... base AC , and under the same parallel ED ( by cor to theo . 13. ) will be equal , therefore if ABC be added to each , then ABCD = BEC . PROB . XIX , To make a triangle DFH , equal to a given five- sided figure ABCDE . fig 59 . H E fig ...
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A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
Συχνά εμφανιζόμενοι όροι και φράσεις
20 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-secant co-sine Co-tang column compass contained cyphers decimal decimal fraction difference Dist divided divisor draw east edge EXAMPLE feet field-book figures four-pole chains given angle half the sum height Hence hypothenuse inches instrument latitude length logarithm measure meridian distance multiplied needle number of degrees object off-sets opposite parallel parallelogram perpendicular piece of ground plane polygon Portmarnock PROB proportion protractor quotient radius right angles right line scale of equal SCHOLIUM secant second station sect semicircle side sights sine square root stationary distance stationary line sun's suppose survey taken tang tangent thence theo theodolite THEOREM thro triangle ABC trigonometry true amplitude true azimuth two-pole chains vane variation whence