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altitude angle base bearing called circle circumference column complement computed correction corresponding cosine cotangent course cubic decimal departure determine diameter difference difference of latitude direction distance divided draw drawn earth east edge entire equal equator example feet field figure four Geometry given greater ground half height Hence horizontal hypothenuse inches latitude length less logarithm longitude manner means measured meridian method middle miles minutes Multiply natural object observed obtain opposite parallel perpendicular places plane pole portion positive preceding PROBLEM Prop proportional quadrant radius remaining represent Required right-angled triangle rods RULE sailing scale secant ship side similar sine solidity spherical triangle square station subtract surface survey tang tangent Theorem third triangle ABC vertical yards
Página 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Página 54 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 83 - Also, similar pyramids are to each other as the cubes of their homologous edges (Geom., Prop.
Página 72 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Página 123 - A=gThat is, the difference between the true and the apparent level, is nearly equal to the square of the distance divided by the diameter of the earth. Ex. 1. What is the difference between the true and the apparent level, for a distance of one English mile, supposing the earth to be 7940 miles in diameter?
Página 17 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 63 - To find the area of an irregular polygon. RULE. Draw diagonals dividing the polygon into triangles, and find the sum of the areas of these triangles.
Página 47 - ... upon a scale of 100 rods to an inch, in which case the side AB will be represented by 4.32 inches; or we may construct it upon a scale of 200 rods to an inch; that is, 100 rods to...