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 7
In the demonstrations , therefore , throughout this work , the student is supposed to be acquainted with the * Each of these works has lately gone through a new edition , in which considerable additions are stated to have been made .
In the demonstrations , therefore , throughout this work , the student is supposed to be acquainted with the * Each of these works has lately gone through a new edition , in which considerable additions are stated to have been made .
Página 8
... by introducing the necessary geometrical definitions and problems , and by giving plain and concise rules , entirely detached from the demonstrations ; the latter being placed in the form of notes at the bottom of the page .
... by introducing the necessary geometrical definitions and problems , and by giving plain and concise rules , entirely detached from the demonstrations ; the latter being placed in the form of notes at the bottom of the page .
Página 44
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 , which 44 PLANE TRIGONOMETRY .
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 , which 44 PLANE TRIGONOMETRY .
Página 45
When one of the angles is obtuse , the demonstration is the same . Hence it appears , that in any plane triangle , the sides are to one another as the sines of their opposite angles . * This 98 may express so many feet , or yards ...
When one of the angles is obtuse , the demonstration is the same . Hence it appears , that in any plane triangle , the sides are to one another as the sines of their opposite angles . * This 98 may express so many feet , or yards ...
Página 48
As the side opposite the given angle , Is to the other given side , So is the sine of the angle opposite the former , To the sine of the angle opposite the latter . * * This is evident from the demonstration of the rule in the precedAdd ...
As the side opposite the given angle , Is to the other given side , So is the sine of the angle opposite the former , To the sine of the angle opposite the latter . * * This is evident from the demonstration of the rule in the precedAdd ...
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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 |