A Treatise on Surveying,: Containing the Theory and Practice: : to which is Prefixed a Perspicuous System of Plane Trigonometry. : The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. : Particularly Adapted to the Use of SchoolsKimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 - 206 páginas |
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Página 26
When a straight line stands on another straight line , so as to incline to neither side , but makes the angles on each side equal , then each of those angles is called a right angle and ... 9 : in which the side AC opposite to the + 19.
When a straight line stands on another straight line , so as to incline to neither side , but makes the angles on each side equal , then each of those angles is called a right angle and ... 9 : in which the side AC opposite to the + 19.
Página 29
At a given point A , in a right line EF , to erect a per . pendicular , Fig . 19 . From the point A , lay off on each side , the equal distances AC , AD ; from C and D , as GEOMETRY . 29 Geometrical Problems,
At a given point A , in a right line EF , to erect a per . pendicular , Fig . 19 . From the point A , lay off on each side , the equal distances AC , AD ; from C and D , as GEOMETRY . 29 Geometrical Problems,
Página 44
... So is the given side , To the required side . * * DEMONSTRATION . Let ABC , Fig . 40 , be any plane triangle ; take Note 1. - The proportions in trigonometry are worked by BF = AC , and upon AB let fall the perpendiculars CD and FE ...
... So is the given side , To the required side . * * DEMONSTRATION . Let ABC , Fig . 40 , be any plane triangle ; take Note 1. - The proportions in trigonometry are worked by BF = AC , and upon AB let fall the perpendiculars CD and FE ...
Página 45
In the triangle ABC , there are given the angle A = 32 ° 15 ' , the angle B = 114 ° 24 ' , and consequently the angle C = 33 ° 21 ' , and the side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 .
In the triangle ABC , there are given the angle A = 32 ° 15 ' , the angle B = 114 ° 24 ' , and consequently the angle C = 33 ° 21 ' , and the side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 .
Página 46
... 1.99123 11.95060 9.74017 To AC 162.3 2.21043 As sine of C 33 ° 21 9.74017 Is to sine of A 32 ° 15 ' So is AB 98 . ... the supplement of the angle B ; that extent will reach , on the line of numbers , from 98 to 162 , the side AC .
... 1.99123 11.95060 9.74017 To AC 162.3 2.21043 As sine of C 33 ° 21 9.74017 Is to sine of A 32 ° 15 ' So is AB 98 . ... the supplement of the angle B ; that extent will reach , on the line of numbers , from 98 to 162 , the side AC .
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Términos y frases comunes
ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Co-sine Co-tang column Construction contained corresponding Courses decimal Deg Dist DEMONSTRATION describe difference distance divide division draw east equal EXAMPLES feet figures find the area given given angle given area given side greater half hand height hypothenuse join latitude and departure length less logarithm measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius ratio rectangle remainder Required the area right angle right line root RULE running scale Secant side side AC sine square station subtract survey taken Tang Tangent triangle ABC twice
Información bibliográfica
| Título | A Treatise on Surveying,: Containing the Theory and Practice: : to which is Prefixed a Perspicuous System of Plane Trigonometry. : The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. : Particularly Adapted to the Use of Schools |
| Autor | John Gummere |
| Colaboradores | John Richardson, Thomas H. Palmer, Kimber & Sharpless |
| Edición | 3 |
| Editor | Kimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 |
| Procedencia del original | Biblioteca Pública de Nueva York |
| Digitalizado | 12 Abr. 2011 |
| Largo | 206 páginas |
| Exportar cita | BiBTeX EndNote RefMan |