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 : Compiled from Various AuthorsOliver D. Cooke, 1804 - 168 páginas |
Dentro del libro
Resultados 6-10 de 47
Página 17
... Side being given . Fig . 34 . Suppose the Side BC 98 ; the Angle at B C GEOMETRY . 17.
... Side being given . Fig . 34 . Suppose the Side BC 98 ; the Angle at B C GEOMETRY . 17.
Página 18
... Side BC 98 ; the Angle at B 45 ° 15 ′ , the Angle at D 108 ° 30 ′ , consequently the other An- gle 26 ° 15 ' . Draw the Side BC in length 98 ; on the Point B make an Angle of 45 ... side to C ; from C , with the longest Side , 18 GEOMETRY .
... Side BC 98 ; the Angle at B 45 ° 15 ′ , the Angle at D 108 ° 30 ′ , consequently the other An- gle 26 ° 15 ' . Draw the Side BC in length 98 ; on the Point B make an Angle of 45 ... side to C ; from C , with the longest Side , 18 GEOMETRY .
Página 19
... Side , describe Arches intersecting each other at D , and draw the Lines AD and DC . PROBLEM XVIII . To describe a ... Sides may be found in the following Treatise on SURVEYING TRIGONOMETRY . TRIG RIGONOMETRY is that part of practical GE ...
... Side , describe Arches intersecting each other at D , and draw the Lines AD and DC . PROBLEM XVIII . To describe a ... Sides may be found in the following Treatise on SURVEYING TRIGONOMETRY . TRIG RIGONOMETRY is that part of practical GE ...
Página 20
... Sides and Angles of Tri- angles are measured ; whereby three things being giv en , either all Sides or Sides and Angles , a fourth may be found ; either by measuring with a Scale and Dividers , according to the PROBLEMS in GEOMETRY , or ...
... Sides and Angles of Tri- angles are measured ; whereby three things being giv en , either all Sides or Sides and Angles , a fourth may be found ; either by measuring with a Scale and Dividers , according to the PROBLEMS in GEOMETRY , or ...
Página 21
... Sides are made Radius , the other Sides acquire different names , which are either Sines , Tangents or Secants . As the Sides and Angles of Triangles bear a certain proportion to each other , two Sides and one Angle , or one Side and ...
... Sides are made Radius , the other Sides acquire different names , which are either Sines , Tangents or Secants . As the Sides and Angles of Triangles bear a certain proportion to each other , two Sides and one Angle , or one Side and ...
Otras ediciones - Ver todas
System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
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.