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 |
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Página 9
... length but no breadth . 3. A Superficies or Surface , called also Area , has length and breadth , but no thickness . 4. A Solid has length , breadth and thickness . 5. A Right Line is the shortest that can be drawn between two Points ...
... length but no breadth . 3. A Superficies or Surface , called also Area , has length and breadth , but no thickness . 4. A Solid has length , breadth and thickness . 5. A Right Line is the shortest that can be drawn between two Points ...
Página 10
... length , as so many Inches or Feet , & c . but is always to be reckoned as being the 360th part of the Circum- ference of any Circle , without regarding the big- ness of the Circle . 15. An Arch or Arc of a Circle is any part of the ...
... length , as so many Inches or Feet , & c . but is always to be reckoned as being the 360th part of the Circum- ference of any Circle , without regarding the big- ness of the Circle . 15. An Arch or Arc of a Circle is any part of the ...
Página 11
... length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig . 7 . is the greatest possible Sine , or Sine of 90 Degrees . 22. The Versed Sine of an Arch is that part of the Diameter or ...
... length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig . 7 . is the greatest possible Sine , or Sine of 90 Degrees . 22. The Versed Sine of an Arch is that part of the Diameter or ...
Página 12
... length of the including Lines ; for all Arches described on the same Point , and inter- cepted by the same Right Lines , contain exactly the same number of Degrees , whether the Radius be longer or shorter . 29. The Sine , Tangent or ...
... length of the including Lines ; for all Arches described on the same Point , and inter- cepted by the same Right Lines , contain exactly the same number of Degrees , whether the Radius be longer or shorter . 29. The Sine , Tangent or ...
Página 13
... a Figure bounded by four Sides , two of which are parallel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a Right Angled 47. A Trapezium is a Figure bounded by four un- Trapezium . GEOMETRY . 13.
... a Figure bounded by four Sides , two of which are parallel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a Right Angled 47. A Trapezium is a Figure bounded by four un- Trapezium . GEOMETRY . 13.
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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.