A Treatise of Practical Surveying, ... |
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Página 32
Hence an angle in a segment greater than a semicircle is less than a right angle ;
thus ADB is measured by half the arc AB , but as the arc AB is less than a
semicircle , therefore half the arc AB , or the angle ADB is less than half a
semicircle ...
Hence an angle in a segment greater than a semicircle is less than a right angle ;
thus ADB is measured by half the arc AB , but as the arc AB is less than a
semicircle , therefore half the arc AB , or the angle ADB is less than half a
semicircle ...
Página 62
Their difference is Multiply by .07 the remaining figures 35 .07 Product To which
add the first log . 2.45 8.09899 Their sum is 3.09901 Because the given number
consists of 6 places , change the last index to 5 , which is one less than the
places ...
Their difference is Multiply by .07 the remaining figures 35 .07 Product To which
add the first log . 2.45 8.09899 Their sum is 3.09901 Because the given number
consists of 6 places , change the last index to 5 , which is one less than the
places ...
Página 63
Or , because the whole number consists of two figures , the index of the log . must
be one less , and is therefore 1.56229 , as before . EX AMPLE II . What are the
logs . of 6543 , 654.3 , 65.43 , 6.543 , .6543 , .06543 and .006543 ? 6543
3.81578 ...
Or , because the whole number consists of two figures , the index of the log . must
be one less , and is therefore 1.56229 , as before . EX AMPLE II . What are the
logs . of 6543 , 654.3 , 65.43 , 6.543 , .6543 , .06543 and .006543 ? 6543
3.81578 ...
Página 82
The first and third terms in the foregoing proportions , being of a like nature , and
those of the second and fourth being also like to each other ; and the proportions
being direct ones , it , follows , that if the third term be greater or less than the ...
The first and third terms in the foregoing proportions , being of a like nature , and
those of the second and fourth being also like to each other ; and the proportions
being direct ones , it , follows , that if the third term be greater or less than the ...
Página 133
... or less , may , and the sum of these half chains , or links , will give the base , as
before . If the inclined side of the hill be a plane surface , the angle of the hill's
inclination may be taken , and the slant height may be measured on the surface ...
... or less , may , and the sum of these half chains , or links , will give the base , as
before . If the inclined side of the hill be a plane surface , the angle of the hill's
inclination may be taken , and the slant height may be measured on the surface ...
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Términos y frases comunes
acres angle Answer base bearing called centre chains chord circle Co-fine Co-ſecant Co-tang column contained decimal difference Dift direct Diſt distance divided draw drawn east edge equal EXAMPLE feet field field-book figures four four-pole give given greater ground half height Hence inches laid land length less logarithm manner measure meridian method multiplied needle object observe off-sets opposite parallel parallelogram perches perpendicular plane Plate pole PROB proportion quantity quotient radius reduce remainder right angles right line root scale Secant sect side sights sine square station stationary suppose survey taken tangent theo third triangle triangle ABC true turn variation whence whole
Pasajes populares
Página 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.
Página 199 - ... that triangles on the same base and between the same parallels are equal...
Página 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.
Página 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.
Página 95 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 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.
Página 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.
Página 36 - XIII. •All parallelograms on the same or equal bases and between the same parallels...
Página 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.
Página 35 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Información bibliográfica
| Título | A Treatise of Practical Surveying, ... |
| Autor | Robert Gibson |
| Publicado | 1808 |
| Procedencia del original | Universidad de Michigan |
| Digitalizado | 29 Mayo 2007 |
| Largo | 440 páginas |
| Exportar cita | BiBTeX EndNote RefMan |