A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. Particularly Adapted to the Use of SchoolsKimber & Richardson, 1814 - 346 páginas |
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Página 7
... triangles , quadrilaterals , circles , and ellipes ; also , the method of protracting a survey , and finding its area by dividing it into triangles and trapeziums SECT . II . Containing three different rules for finding the areas of ...
... triangles , quadrilaterals , circles , and ellipes ; also , the method of protracting a survey , and finding its area by dividing it into triangles and trapeziums SECT . II . Containing three different rules for finding the areas of ...
Página 26
... triangle is a figure bounded by three straight lines , as ABC , Fig . 6 . 15. An equilateral triangle has its three sides equal to each other , as A , Fig . 7 . 16. An isosceles triangle has only two of its sides equal , as B , Fig . 8 ...
... triangle is a figure bounded by three straight lines , as ABC , Fig . 6 . 15. An equilateral triangle has its three sides equal to each other , as A , Fig . 7 . 16. An isosceles triangle has only two of its sides equal , as B , Fig . 8 ...
Página 27
... triangle has one obtuse angle , as C , Fig . 10 . 20. An acute angled triangle has all its angles acute , as ABC , Fig . 6 . 21. Acute and obtuse angled triangles are called oblique angled triangles . 22. Any plane figure bounded by ...
... triangle has one obtuse angle , as C , Fig . 10 . 20. An acute angled triangle has all its angles acute , as ABC , Fig . 6 . 21. Acute and obtuse angled triangles are called oblique angled triangles . 22. Any plane figure bounded by ...
Página 31
... triangle of any three right lines D , E and F , of which any two together must be greater than the third , Fig . 25 . Make A B equal to D ; with the centre A and distance equal to E , describe an arc , and with the centre B and distance ...
... triangle of any three right lines D , E and F , of which any two together must be greater than the third , Fig . 25 . Make A B equal to D ; with the centre A and distance equal to E , describe an arc , and with the centre B and distance ...
Página 34
... triangle , except the three an- gles , are given , the others are determined . 2. The periphery of every circle is supposed to be di- vided into 360 equal parts , called degrees ; each de- gree into 60 equal parts , called minutes ; and ...
... triangle , except the three an- gles , are given , the others are determined . 2. The periphery of every circle is supposed to be di- vided into 360 equal parts , called degrees ; each de- gree into 60 equal parts , called minutes ; and ...
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere Sin vista previa disponible - 2016 |
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Página 97 - To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately.
Página 43 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Página 34 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
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Página 85 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.
Página 25 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Página 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Página 91 - PROBLEM I. To find the area of a parallelogram; whether it be a square, a rectangle, a rhombus, or a rhomboides. RULE.* Multiply the length by the perpendicular height, and the product will be the area.
Página 96 - If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC (Fig.