A Treatise of Practical Surveying, ... |
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Página 39
Plate 1 . whole line into its external part , viz , AC into AB , will be equal to that of
the other line into its external part , viz , AE into AD . fig . 35 . Let the lines DC , BE
be drawn in me two triangles ABE , ADC ; the angle AEB = ACD ( by cor . 2. theo
...
Plate 1 . whole line into its external part , viz , AC into AB , will be equal to that of
the other line into its external part , viz , AE into AD . fig . 35 . Let the lines DC , BE
be drawn in me two triangles ABE , ADC ; the angle AEB = ACD ( by cor . 2. theo
...
Página 50
Plate II . PRO B. IX . Upon a given line AB to describe a square ABCD . plate I. fig
. 17 . Make BC perpendicular and equal to AB ; and from A and C , with the line
AB , or BC , let two arcs , be described , cutting each other in D ) ; from whence to
...
Plate II . PRO B. IX . Upon a given line AB to describe a square ABCD . plate I. fig
. 17 . Make BC perpendicular and equal to AB ; and from A and C , with the line
AB , or BC , let two arcs , be described , cutting each other in D ) ; from whence to
...
Página 78
Plate V. When an angle is required , we use this proportion , viz . As the side that
is made the radius , is to radius , So is the other given side , to its name . Thus if
the legs were given to find the angle A , and if AB be made the radius , it will be ...
Plate V. When an angle is required , we use this proportion , viz . As the side that
is made the radius , is to radius , So is the other given side , to its name . Thus if
the legs were given to find the angle A , and if AB be made the radius , it will be ...
Página 108
Plate V. An angle of altitude may be also taken by any of the instruments used in
surveying ; as shall be particularly shewn , when we treat of their descriptions
and uses . Most quadrants have a pair of sights fixed on the edge AC , with small
...
Plate V. An angle of altitude may be also taken by any of the instruments used in
surveying ; as shall be particularly shewn , when we treat of their descriptions
and uses . Most quadrants have a pair of sights fixed on the edge AC , with small
...
Página 112
Plate V. fig . 21 . In the triangle ABC there is given , ABE the complement of EAB
to 90 ° , which is 34 ° 45 ' . ACB the difference of the given angles 24 ° 00 ' . The
side AB . 250. Required BC . This is performed as case 2. of oblique angular ...
Plate V. fig . 21 . In the triangle ABC there is given , ABE the complement of EAB
to 90 ° , which is 34 ° 45 ' . ACB the difference of the given angles 24 ° 00 ' . The
side AB . 250. Required BC . This is performed as case 2. of oblique angular ...
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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 |