Elementary text book for young surveyors and levellers |
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Page v
... heights and distances subjects , which may be fully understood , without the student being in the smallest degree enlightened as to the best methods of practical surveying adopted in the present day . And whatever small portion of their ...
... heights and distances subjects , which may be fully understood , without the student being in the smallest degree enlightened as to the best methods of practical surveying adopted in the present day . And whatever small portion of their ...
Page x
... height are given . when the three sides are given To find the area of a Quadrilateral right angled figure To find the area of a Trapezoid • 19 20 21 • 22 • 23 23 • 24 To find the area of a parallelogram whose angles are not right angles ...
... height are given . when the three sides are given To find the area of a Quadrilateral right angled figure To find the area of a Trapezoid • 19 20 21 • 22 • 23 23 • 24 To find the area of a parallelogram whose angles are not right angles ...
Page xiii
... height of an object , when the base is accessible When the base is inaccessible , but when DB can be measured away from the object in a line with the observer and the object When the line DB cannot be measured 131 • 132 • 133 . 134 ...
... height of an object , when the base is accessible When the base is inaccessible , but when DB can be measured away from the object in a line with the observer and the object When the line DB cannot be measured 131 • 132 • 133 . 134 ...
Page 17
... height , are equal to each other ; i.e. , the pa- B D E C rallelogram ABCD = the parallelogram DBCE ; and the triangle ABC = the triangle CFE . ( Euclid I , 35-38 . ) 6. In every right - angled triangle , the square of the hypothenuse ...
... height , are equal to each other ; i.e. , the pa- B D E C rallelogram ABCD = the parallelogram DBCE ; and the triangle ABC = the triangle CFE . ( Euclid I , 35-38 . ) 6. In every right - angled triangle , the square of the hypothenuse ...
Page 18
... of both ; i.e. , if there be two triangles whose bases and perpendiculars are as follows : the one base 40 , the other 20 ; the one height 30 , and 18 USEFUL THEOREMS . To construct a Trapezium, having the sides and diagonal given.
... of both ; i.e. , if there be two triangles whose bases and perpendiculars are as follows : the one base 40 , the other 20 ; the one height 30 , and 18 USEFUL THEOREMS . To construct a Trapezium, having the sides and diagonal given.
Other editions - View all
Elementary Text Book for Young Surveyors and Levellers with Copious Field ... Henry James Castle No preview available - 2019 |
Elementary Text Book for Young Surveyors and Levellers With Copious Field ... Henry James Castle No preview available - 2019 |
Common terms and phrases
2nd gate A. R. P. Answer angle of bearing angle of elevation base line bisect broad arrow centre chain surveying chains 50 links CHAP CHECK ANGLES check line circle circumferentor clamp corner correct cross customary determined diagonal DIAGRAM distance ditch divided draw equal Euclid EXAMPLE fence field book field notes flag gate post given angle given line given point half degrees hedge height horizontal inch interior angles intersection join Lancashire length line AC long scale mark meridian line motion needle number of degrees object observation offsets perpendicular placed plot pond protractor Required the true right angles right-angled triangle river road roods round screws similar triangles spirit level square chains square feet statute acres statute measure taken telescope theodolite top of bank trapezium triangle ABC true bearing true north vertical whole instrument width Wiltshire Wood
Popular passages
Page 111 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 160 - LEVELLING is the art of representing the inequalities of the earth's surface, and of determining the relative heights of any number of points above or below a line, equidistant, at every point, from the centre of the earth.
Page 17 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 8 - To describe a square upon a given straight line. Let AB be the given straight line : it is required to describe a square upon AB.
Page 102 - The existence of parallax is determined by moving the eye about, when looking through the telescope, observing whether the cross wires change their position, and are flittering and undefined. To correct this error, first adjust the eye-piece, by means of the moveable eye-piece tube, till you can perceive the cross wire clearly defined, and sharply marked against any white object.
Page 23 - C will be found 9, the square root on D. For the square root of 144 : Set 1 on C to 10 on D ; then against 144 on C will be found the square root 12 on D. 42. To find the area of a board or plank : The rule is, to multiply the length by the breadth, the product will be the area ; therefore, by the sliding rule, Set 12 on B against the breadth in inches on A ; then...
Page 16 - E, the adjacent angles CEA, AED; these angles are together equal to two right angles. (i. 13.) Again, because the straight line DE makes with AB...
Page 28 - To find the area of a circle. Rule — Multiply the square of the diameter by .7854; or the square of the radius by 3.1416; or the square of the circumference by .07958. Find the area of a piston 20 in. in diam. Answer— 20!
Page 8 - To draw a straight line at right angles to a given straight line, from a given point in the same. Let AB be the given straight line, and C the given point in it : it is required to draw from the point C a straight line at right angles to AB.
Page 23 - 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. Multiply the half sum and the three remainders together, and extract the square root of the product.