An Introduction to Mensuration and Practical Geometry
Kimber & Sharpless, 1835 - Measurement - 288 pages
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9 inches ABCD abscissa added angle answer axis base body breadth called centre chord circle circular circumference cone conjugate contained convex cube cubic curve cutting cylinder decimal Demon depth describe diameter difference dimensions distance divide double drawn ellipse equal EXAMPLES fall feet 6 inches figure find the area foot formed frustrum gallons girth give given greater half half the arc height length less mean measure middle minute Multiply nearly Note opposite ordinate parallel perpendicular plane polygon PROBLEM proportion pyramid quotient radius Required the area right angled roof rule segment side similar solidity sphere square root stands superficies supposing surface taken thickness third transverse diameter triangle twice versed sine wall wheel whole wine yard
Page 119 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved.
Page 7 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Page 88 - ... 11.701 ft. 74. A right-angled triangle has its base 16 rods, and its perpendicular 12 rods, and a triangle is cut off from it by a line parallel to its base, of which the area is 24 rods. Required the sides of that triangle. Ans. 8, 6, and 10 rods. 75. There is a circular pond whose area is 5028f square feet, in the middle of which stood a pole 100 feet high ; now, the pole having been broken off, it was observed that the top portion resting on the stump just reached the brink of the pond. What...
Page 20 - In a right-angled triangle, the side opposite to the right angle, is called the hypothenuse ; and the other two sides are called the legs, and sometimes the base and perpendicular : thus, A, B is the base, B, C perpendicular, and A, C hypothenuse.
Page 78 - When the quotient arising from the versed sine divided by the diameter, has a remainder or fraction after the third place of decimals ; having taken the area...
Page 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Page 21 - 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.
Page 260 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 54 - To find the area of a rectangular board, whose length is 12-^ feet, and breadth 9 inches. Ans. 9f feet.
Page 96 - As the conjugate diameter is to the transverse, So is the square root of the difference of the squares of the ordinate and semi-conjugate, To the distance between the ordinate and centre.