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 Joseph Cushing, 1816 - 472 páginas |
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Página 33
... triangles , in all which any side may be called the base , and the other two the sides . 27. The perpendicular height of a triangle is a line drawn from the vertex to the base perpendicu- larly thus if the triangle ABC , be proposed ...
... triangles , in all which any side may be called the base , and the other two the sides . 27. The perpendicular height of a triangle is a line drawn from the vertex to the base perpendicu- larly thus if the triangle ABC , be proposed ...
Página 40
... angles ( by theo . 1. ) There- fore EFD + FEB are equal to two right angles ; after the same manner we prove that AEF + CFE are equal to two right angles . Q. E. D. THEOREM IV . In any triangle ABC , one of 40 THEOREMS ..
... angles ( by theo . 1. ) There- fore EFD + FEB are equal to two right angles ; after the same manner we prove that AEF + CFE are equal to two right angles . Q. E. D. THEOREM IV . In any triangle ABC , one of 40 THEOREMS ..
Página 41
... triangle ABC , one of its legs , as BC , being produced to- . wards D , it will make the external · angle ACD equal to the two internal opposite angles taken together . Viz . to B and A. fig . 23 . fig . 23 . E Thro ' C , let CE be ...
... triangle ABC , one of its legs , as BC , being produced to- . wards D , it will make the external · angle ACD equal to the two internal opposite angles taken together . Viz . to B and A. fig . 23 . fig . 23 . E Thro ' C , let CE be ...
Página 42
... triangles , ABC , DEF , there be two sides , AB , AC in the one , severally equal to DE , DF in the other , and the angle A contain- ed between the two sides in the one , equal to D in the other ; then the re- maining angles of the one ...
... triangles , ABC , DEF , there be two sides , AB , AC in the one , severally equal to DE , DF in the other , and the angle A contain- ed between the two sides in the one , equal to D in the other ; then the re- maining angles of the one ...
Página 43
... triangle a b c be equal to each other that is , ac = cb ; the angles which are opposite to those equal sides , will also be equal to each other ; viz . a = b . fig . 11 . fg . 11 . D C For let the triangle a b c be divided into two ...
... triangle a b c be equal to each other that is , ac = cb ; the angles which are opposite to those equal sides , will also be equal to each other ; viz . a = b . fig . 11 . fg . 11 . D C For let the triangle a b c be divided into two ...
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A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Sin vista previa disponible - 2021 |
Términos y frases comunes
20 perches 50 Dist ABCD acres altitude annexed Answer base bearing bisect blank line centre chains and links chord circle circumferentor Co-secant Secant Co-sine Co-tang column contained cyphers decimal decimal fraction Dep Lat difference 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 magnetical measure meridian distance multiplied needle number of degrees object off-sets parallel parallelogram perpendicular piece of ground plane Portmarnock PROB proportion protractor quotient radius right angles right line scale of equal SCHOLIUM sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance Tang tangent thence theo theodolite THEOREM thro trapezium triangle ABC trigonometry true amplitude true azimuth two-pole chains vane variation whence