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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Seite 32
... 23 ° 20 ' 9.63459 The half sum of the two unknown Angles , The half difference
between them , 71 ° 40 / 23 20 95 00 Add , gives the greater Angle ACB Subtract
, gives the lesser Angle ABC 48 20 The Side BC may be found by CASE I or II .
... 23 ° 20 ' 9.63459 The half sum of the two unknown Angles , The half difference
between them , 71 ° 40 / 23 20 95 00 Add , gives the greater Angle ACB Subtract
, gives the lesser Angle ABC 48 20 The Side BC may be found by CASE I or II .
Seite 33
length of the longest Side , will give the greater Segment ; and this half Difference
subtracted from the half Sum will give the lesser Segment . The Triangle being
thus divided becomes two Right Angled Triangles , in which the Hypothenuse ...
length of the longest Side , will give the greater Segment ; and this half Difference
subtracted from the half Sum will give the lesser Segment . The Triangle being
thus divided becomes two Right Angled Triangles , in which the Hypothenuse ...
Seite 64
... which being multiplied by 49.15 the length of the Line 3 , 1 which represents
the Southing made by the fourth Course , will gill give double the Area of the
Trapezoid 1 ED 3 . The number thus produced is 7858.1020 , which is to be
placed for ...
... which being multiplied by 49.15 the length of the Line 3 , 1 which represents
the Southing made by the fourth Course , will gill give double the Area of the
Trapezoid 1 ED 3 . The number thus produced is 7858.1020 , which is to be
placed for ...
Seite 65
EF , which is the Southing of the fifth Course , as corrected in balancing , and the
same as the Line 1 , 4will give double the Area of the Parallelogram 1EF4 , which
is 9166.7040 the second number in the Column of South Areas . From the Line ...
EF , which is the Southing of the fifth Course , as corrected in balancing , and the
same as the Line 1 , 4will give double the Area of the Parallelogram 1EF4 , which
is 9166.7040 the second number in the Column of South Areas . From the Line ...
Seite 128
... under or over the Degrees and against the Minutes will be the Natural Sine
required . The reverse of this will give the Degrees and Minutes corresponding to
any Natural Sine . Note . As the size of the Type on which this Table is printed did
...
... under or over the Degrees and against the Minutes will be the Natural Sine
required . The reverse of this will give the Degrees and Minutes corresponding to
any Natural Sine . Note . As the size of the Type on which this Table is printed did
...
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SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Keine Leseprobe verfügbar - 2016 |
SYSTEM OF GEOMETRY & TRIGONOME Abel 1765-1825 Flint,George Gillet,Frederick a. P. (Frederick Augu Barnard Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
according accurately added Angle Arch Base Bearing calculated called Chains 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 Land Left Leg BC length less Line Links Logarithms manner measuring method Minutes multiply Natural Sines Needle North North Areas Note number of Degrees observe opposite parallel particular Perpendicular PLATE Plot Point practice preceding PROBLEM Product Proportion protract Quotient Radius Remainder represent Right Angled Rods 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
Beliebte Passagen
Seite 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.
Seite 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Bibliografische Informationen
| Titel | 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/in | Abel Flint |
| Zusammengestellt von | Abel Flint |
| Verlag | Oliver D. Cooke, 1804 |
| Original von | University of Michigan |
| Digitalisiert | 29. Mai 2007 |
| Länge | 168 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |