A System of Geometry and Trigonometry: Together with a Treatise on Surveying; Teaching Various Ways of Taking the Survey of a Field; Also to Protract the Same and Find the Area. Likewise, Rectangular Surveying; Or, an Accurate Method of Calculating the Area of Any Field Arithmetically, Without the Necessity of Plotting It. To the Whole are Added Several Mathematical Tables ... with a Particular Explanation ... and the Manner of Using Them ... |
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Página 14
A Diagonal is a Line drawn between two oppo . site Angles ; as the Line AB . Fig .
21 . 49. Figures which consist of more than four Sides are called Polygons ; if the
Sides are equal to each other they are called regular Polygons , and are ...
A Diagonal is a Line drawn between two oppo . site Angles ; as the Line AB . Fig .
21 . 49. Figures which consist of more than four Sides are called Polygons ; if the
Sides are equal to each other they are called regular Polygons , and are ...
Página 15
To erect a Perpendicular from the end , or any part of a given Line . Fig . 24 .
Open the Dividers to any convenient distance , as from D to A , and with one foot
on the Point D , from which the Perpendicular is to be erected , describe an Arch ,
as ...
To erect a Perpendicular from the end , or any part of a given Line . Fig . 24 .
Open the Dividers to any convenient distance , as from D to A , and with one foot
on the Point D , from which the Perpendicular is to be erected , describe an Arch ,
as ...
Página 46
Draw a Line to represent a Meridian or North and South Line , from which lay off
the Bearing or Course of the first Side of the Field , with a Protractor or from a
Line of Chords ; and from a Scale of equal Parts measure the length of the Side
and ...
Draw a Line to represent a Meridian or North and South Line , from which lay off
the Bearing or Course of the first Side of the Field , with a Protractor or from a
Line of Chords ; and from a Scale of equal Parts measure the length of the Side
and ...
Página 64
The Line 3 C represents the Sum of the Eastings made by the first and second
Courses , which is 45.12 , the second number in the first Departure Column ; if to
this you add 20.74 the length of the Line 2 B you have 65.86 , which is the
second ...
The Line 3 C represents the Sum of the Eastings made by the first and second
Courses , which is 45.12 , the second number in the first Departure Column ; if to
this you add 20.74 the length of the Line 2 B you have 65.86 , which is the
second ...
Página 72
Join two opposite Corners of the Field as D and G , with the Line DG ( which you
may judge to , be near the partition Line ) and find the Area of the part DEFG ,
which suppose may want 140 Rods of the quantity proposed to be cut off .
Measure ...
Join two opposite Corners of the Field as D and G , with the Line DG ( which you
may judge to , be near the partition Line ) and find the Area of the part DEFG ,
which suppose may want 140 Rods of the quantity proposed to be cut off .
Measure ...
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SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Sin vista previa disponible - 2016 |
SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Sin vista previa disponible - 2016 |
Términos y frases comunes
according accurately added Angle Angled Triangle Arch Base Bearing calculated called Circle Co-Sine Sine Compass contained Course Decimals describe Diagonal Difference directions Dist Distance divided double draw drawn Elongation equal EXAMPLE Field FIELD BOOK Figure find the Angle find the Area four fourth give given greater half hand Hypothenuse known Land Left Leg BC length less Line Links Logarithms manner measuring method Minutes multiply Natural Sines Needle North North Areas Note observe opposite parallel particular Perpendicular PLATE Plot Point practice preceding PROBLEM Product Proportion protract Quotient Radius Remainder represent Right Angled Roods Rule Secant Co-Secant seen Side Sine Co-Sine Sine Sine Sine Square Square Root Star Station subtract Surveying Surveyor Table Tang Tangent Co-Secant Secant third Trapezoid Triangle TRIGONOMETRY true whole
Pasajes populares
Página 28 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Página 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 6 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Página 24 - In this case the" hypothenuse may be found by the square root without finding the angles ; according to the following PROPOSITION. IN EVERY RIGHT ANGLED TRIANGLE, THE SUM OF THE SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OF THE HYPOTHENUSE. In the above EXAMPLE, the square of AB 78.7 is 6193.69, the square of BC 89 is 7921 ; these added make 14114,69 the square root of which is nearest 119.
Página 40 - Field work and protraction are truly taken and performed ; if not, an error must have been committed in one of them : In such cases make a second protraction ; if this agrees with the former, it is to be presumed the fault is in the Field work ; a re-survey must then be taken.
Página 33 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Página 6 - Therefore all radii of the same circle are equal. 13. The diameter of a circle is a right line drawn from one side of the circumference to the other, passing through the centre ; and it divides the circle into two equal parts, called semicircles ; as AB or DE.
Página 40 - Let his attention first be directed to the map, and inform him that the top is north, the bottom south, the right hand east, and the left hand west.
Página 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Información bibliográfica
| Título | A System of Geometry and Trigonometry: Together with a Treatise on Surveying; Teaching Various Ways of Taking the Survey of a Field; Also to Protract the Same and Find the Area. Likewise, Rectangular Surveying; Or, an Accurate Method of Calculating the Area of Any Field Arithmetically, Without ... |
| Autor | Abel Flint |
| Compilado por | Abel Flint |
| Editor | Oliver D. Cooke, 1804 |
| Procedencia del original | Universidad de Michigan |
| Digitalizado | 29 Mayo 2007 |
| Largo | 168 páginas |
| Exportar cita | BiBTeX EndNote RefMan |