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 41
Required the degrees and minutes in the angle whose tangent is 10.47464 . Ans . 71 ° 28 ' . ... It has on one side , a diagonal scale , and also the lines of chords , sines , tangents , and secants , with several others .
Required the degrees and minutes in the angle whose tangent is 10.47464 . Ans . 71 ° 28 ' . ... It has on one side , a diagonal scale , and also the lines of chords , sines , tangents , and secants , with several others .
Página 42
The line of tangents , marked Tan . begins at the left hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 ... The tangent of arcs above 45 ° are therefore counted backward on the line , and are found at the same points of the line ...
The line of tangents , marked Tan . begins at the left hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 ... The tangent of arcs above 45 ° are therefore counted backward on the line , and are found at the same points of the line ...
Página 53
As the sum of the two given sides , Is to their difference ; So is the tangent of half the sum of the two unknown angles , To the tangent ' of half their difference . * This half difference of the two unknown angles , added to their ...
As the sum of the two given sides , Is to their difference ; So is the tangent of half the sum of the two unknown angles , To the tangent ' of half their difference . * This half difference of the two unknown angles , added to their ...
Página 55
Extend the compasses from 218 , the sum of the sides , to 38 , their difference , on the line of numbers , and apply this extent to the line of tangents from 45 ° to the left hand ; then keeping the left leg of the compasses fixed ...
Extend the compasses from 218 , the sum of the sides , to 38 , their difference , on the line of numbers , and apply this extent to the line of tangents from 45 ° to the left hand ; then keeping the left leg of the compasses fixed ...
Página 61
51 , be made radius ; then the other leg AB will represent the tangent , of the arc BG , or angle C , and the hypothenuse AC the secant of it . = ( AC + AB + BC ) x ( 1 ( AC + AB + BC ) – BC ) ; therefore AB X AC : 1 ( AC + AB + BC ) ...
51 , be made radius ; then the other leg AB will represent the tangent , of the arc BG , or angle C , and the hypothenuse AC the secant of it . = ( AC + AB + BC ) x ( 1 ( AC + AB + BC ) – BC ) ; therefore AB X AC : 1 ( AC + AB + BC ) ...
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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 |