An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1835 - 288 páginas |
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Página ix
... polygon , To find the diameter and circumference of a circle , . To find the length of any arc of a circle , To find the area of a circle , ... 51 F 54 57 59 60 61 64 67 70 73 76 ... 80 82 83 84 86 .... To find the area of a sector of a ...
... polygon , To find the diameter and circumference of a circle , . To find the length of any arc of a circle , To find the area of a circle , ... 51 F 54 57 59 60 61 64 67 70 73 76 ... 80 82 83 84 86 .... To find the area of a sector of a ...
Página 20
... polygons . 42. Polygons having five sides , are called pentagons ; those of six sides , hexagons ; those of seven , heptagons ; and so on . 43. A regular polygon is that whose angles as well as sides are all equal . 44. The base of any ...
... polygons . 42. Polygons having five sides , are called pentagons ; those of six sides , hexagons ; those of seven , heptagons ; and so on . 43. A regular polygon is that whose angles as well as sides are all equal . 44. The base of any ...
Página 37
... polygon may be formed of 24 sides ; and by another bisection a polygon of 48 sides ; and so on . PROBLEM XXI . To inscribe a square , or an octagon , in a given circle . A E H B C For the square . 1. Draw the diameters BD and AC ...
... polygon may be formed of 24 sides ; and by another bisection a polygon of 48 sides ; and so on . PROBLEM XXI . To inscribe a square , or an octagon , in a given circle . A E H B C For the square . 1. Draw the diameters BD and AC ...
Página 38
... polygon of 20 sides may be formed ; and by another bisection a polygon of 40 sides ; and so on . * Besides the figures here constructed , and those arising from thence by continual bisections , or taking the differences , no other ...
... polygon of 20 sides may be formed ; and by another bisection a polygon of 40 sides ; and so on . * Besides the figures here constructed , and those arising from thence by continual bisections , or taking the differences , no other ...
Página 39
... polygon of any proposed number of sides . D G 2 B F E 1. From the point A , with the distance AF , describe the semicircle FBG , which divide into as many equal parts Ga , aB , Bc , & c . as the polygon is to have sides . * 2. From A to ...
... polygon of any proposed number of sides . D G 2 B F E 1. From the point A , with the distance AF , describe the semicircle FBG , which divide into as many equal parts Ga , aB , Bc , & c . as the polygon is to have sides . * 2. From A to ...
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Términos y frases comunes
12 feet 9 inches ABCD abscissa ADBA altitude Avoirdupois axis base Bisect breadth cask centre chord of half circumference cone conjugate diameter convex surface cube root cubic inches cylinder decimal Demon distance divided draw the line ellipse equal EXAMPLES feet 6 inches feet 9 figure find the area find the solidity fluxion foot frustrum girth give the solidity given line greater end half the arc head diameter horse power hyperbola length less end linear side measure minute multiply the sum ordinate parabola parallel pentagon perpendicular plane polygon PROBLEM proportion pyramid quotient radius regular polygon Required the area Required the solidity right angled right line segment sine of half slant height SLIDING RULE solid content solidity required specific gravity sphere spheroid square feet square root thickness transverse diameter trapezium triangle ullage velocity versed sine water wheel wheel wine gallons yard
Pasajes populares
Página 119 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved.
Página 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.
Página 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...
Página 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.
Página 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...
Página 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Página 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.
Página 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.
Página 54 - To find the area of a rectangular board, whose length is 12-^ feet, and breadth 9 inches. Ans. 9f feet.
Página 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.