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 Seiten |
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Seite 12
... equal in length to each other . Fig . 9 . 33. An Isoceles Triangle has two of its sides equal , and the other longer or shorter . Fig . 10 . 34. A Scalene Triangle has three unequal Sides . Fig . 11 . 35. A Right Angled Triangle has one ...
... equal in length to each other . Fig . 9 . 33. An Isoceles Triangle has two of its sides equal , and the other longer or shorter . Fig . 10 . 34. A Scalene Triangle has three unequal Sides . Fig . 11 . 35. A Right Angled Triangle has one ...
Seite 13
... Angled Triangles are called Oblique Angled Triangles , or simply Oblique Trian- gles ; in all which the bottom Side is ... Triangle being added together will amount to 180 Degrees ; con- sequently the two Acute Angles of a Right Angled ...
... Angled Triangles are called Oblique Angled Triangles , or simply Oblique Trian- gles ; in all which the bottom Side is ... Triangle being added together will amount to 180 Degrees ; con- sequently the two Acute Angles of a Right Angled ...
Seite 16
... Triangle required . PROBLEM IX . To make a Right Angled Trian- gle , the Hypothenuse and Angles being given . Fig . 30 . Suppose the Hypothenuse GA 25 Rods or Chains , the Angle at C 35 ° 30 ′ and consequently the Angle at A 54 ° 30 ...
... Triangle required . PROBLEM IX . To make a Right Angled Trian- gle , the Hypothenuse and Angles being given . Fig . 30 . Suppose the Hypothenuse GA 25 Rods or Chains , the Angle at C 35 ° 30 ′ and consequently the Angle at A 54 ° 30 ...
Seite 17
... Triangle will be completed . Note . The length of the two Legs may be found by measuring them upon the same Scale of equal parts from which the Hypothenuse was taken . PROBLEM X. To make a Right Angled Triangle , the Angles and one Leg ...
... Triangle will be completed . Note . The length of the two Legs may be found by measuring them upon the same Scale of equal parts from which the Hypothenuse was taken . PROBLEM X. To make a Right Angled Triangle , the Angles and one Leg ...
Seite 18
... Angle of 45 ° 15 ′ ; on the point C make an Angle of 26 ° 15 ' , and draw the Lines BD and CD . PROBLEM XIV . To make an Oblique Angled Triangle , two sides and an Angle opposite to one of them being given . Fig . 35 . Suppose the Side ...
... Angle of 45 ° 15 ′ ; on the point C make an Angle of 26 ° 15 ' , and draw the Lines BD and CD . PROBLEM XIV . To make an Oblique Angled Triangle , two sides and an Angle opposite to one of them being given . Fig . 35 . Suppose the Side ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
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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.