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
... 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 , and BC be made its base , then if from the vertex A ...
... 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 , and BC be made its base , then if from the vertex A ...
Página 48
... base AB , and between the same parallels with the pa- rallelogram ABCD , is half the parallelogram . Cor . 3. It is ... bases and between the same parallels , are equal to one another , that is , if BD = GH , and the lines BH and AF ...
... base AB , and between the same parallels with the pa- rallelogram ABCD , is half the parallelogram . Cor . 3. It is ... bases and between the same parallels , are equal to one another , that is , if BD = GH , and the lines BH and AF ...
Página 49
... bases and between the same parallels , are equal , seeing ( by cor . 2. theo . 12. ) they are the halves of their respective parallelograms . THEOREM XIV . In every right - angled triangle , ABC , the square of the hypotheneus or ...
... bases and between the same parallels , are equal , seeing ( by cor . 2. theo . 12. ) they are the halves of their respective parallelograms . THEOREM XIV . In every right - angled triangle , ABC , the square of the hypotheneus or ...
Página 50
... base and perpendicular , will be the hypothenuse . Cor . 2. Having the hypothenuse and one leg given to find the other ; the square root of the difference of the squares of the hypothenuse and given leg , will be the required leg ...
... base and perpendicular , will be the hypothenuse . Cor . 2. Having the hypothenuse and one leg given to find the other ; the square root of the difference of the squares of the hypothenuse and given leg , will be the required leg ...
Página 52
... 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 . 4 fig . 36 . F c E g Let any 52 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 . 4 fig . 36 . F c E g Let any 52 THEOREMS .
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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