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 páginas |
Dentro del libro
Resultados 1-5 de 98
Página 29
... 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 perpendicularly : thus if the triangle ABC , be propos- ed ...
... 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 perpendicularly : thus if the triangle ABC , be propos- ed ...
Página 36
... right angles ( by theo . 1. ) Therefore 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 36 THEOREMS .
... right angles ( by theo . 1. ) Therefore 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 36 THEOREMS .
Página 37
... 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 . B A fig . 23 . E Ņ 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 . B A fig . 23 . E Ņ Thro ' C , let CE be ...
Página 38
... triangle ABC be supposed to be laid on the triangle DEF , so as to make the points A and B co- incide with D and E , which they will do , because AB = DE ( by the hypothesis ) ; and since the angle A = D , the line AC will fall along DF ...
... triangle ABC be supposed to be laid on the triangle DEF , so as to make the points A and B co- incide with D and E , which they will do , because AB = DE ( by the hypothesis ) ; and since the angle A = D , the line AC will fall along DF ...
Página 39
... 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 . For let the triangle a b c be divided into two tri- angles a cd ...
... 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 . For let the triangle a b c be divided into two tri- angles a cd ...
Otras ediciones - Ver todas
A Treatise of Practical Surveying: Which is Demonstrated From Its First ... Robert Gibson Sin vista previa disponible - 2021 |
Términos y frases comunes
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