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 Fine 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 ...O. D. Cooke, 1813 - 168 páginas |
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Página 9
... side , but make the Angles on each side equal , then those Angles are called Right Angles ; and the Line CD is said to be Perpendicular to the other Line . 8. An Obtuse Angle is greater than a Right Angles as ADE . Fig . 3 . 9. An Acute ...
... side , but make the Angles on each side equal , then those Angles are called Right Angles ; and the Line CD is said to be Perpendicular to the other Line . 8. An Obtuse Angle is greater than a Right Angles as ADE . Fig . 3 . 9. An Acute ...
Página 10
... side of the Circumference to the other , pass- ing through the Centre ; and it divides the Circle into two equal parts , called Semicircles ; as AB or DE . Fig . 5 . 14. The Circumference of every Circle is suppos- ed to be divided into ...
... side of the Circumference to the other , pass- ing through the Centre ; and it divides the Circle into two equal parts , called Semicircles ; as AB or DE . Fig . 5 . 14. The Circumference of every Circle is suppos- ed to be divided into ...
Página 12
... sides 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 ...
... sides 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 ...
Página 13
... Side is generally called the Base and the other two , Legs . 39. In a Right Angled Triangle the longest Side is called the Hypothenuse , and the other two , Legs , or Base and Perpendicular . Note . The three Angles of every Triangle ...
... Side is generally called the Base and the other two , Legs . 39. In a Right Angled Triangle the longest Side is called the Hypothenuse , and the other two , Legs , or Base and Perpendicular . Note . The three Angles of every Triangle ...
Página 14
... Sides are called Polygons ; if the sides are equal to each other they are called regular Polygons , and are some- times named from the number of their Sides , as Penta- gon or Hexagon , a Figure of five or six Sides , & c . if . the ...
... Sides are called Polygons ; if the sides are equal to each other they are called regular Polygons , and are some- times named from the number of their Sides , as Penta- gon or Hexagon , a Figure of five or six Sides , & c . if . the ...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Sin vista previa disponible - 2017 |
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Sin vista previa disponible - 2017 |
Pasajes populares
Página 26 - 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 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 8 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 25 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 25 - The solution of this CASE depends on the following PROPOSITION. In every Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them. Add this half difference to half the Sum of the Angles and you will have the greater Angle ; and...
Página 8 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
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 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.