An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1835 - 288 páginas |
Dentro del libro
Resultados 1-5 de 13
Página 124
... supposing each of the equal sides to be 1 foot 4 inches , and the length of the prism 15 feet . Ans . 69.282ft . PROBLEM IV .. To find the convex surface of a cylinder . RULE . † Multiply the periphery or circumference of the base , by ...
... supposing each of the equal sides to be 1 foot 4 inches , and the length of the prism 15 feet . Ans . 69.282ft . PROBLEM IV .. To find the convex surface of a cylinder . RULE . † Multiply the periphery or circumference of the base , by ...
Página 140
... supposing the perpendicular height to be 17.14508 inches ? Ans . 3.1006 feet . ' PROBLEM XI . To find the solidity of a prismoid . RULE . * To the sum of the areas of the two ends add four times the area of a section parallel to and ...
... supposing the perpendicular height to be 17.14508 inches ? Ans . 3.1006 feet . ' PROBLEM XI . To find the solidity of a prismoid . RULE . * To the sum of the areas of the two ends add four times the area of a section parallel to and ...
Página 143
... supposing it to be a perfect sphere ? Ans . 198944286.35235 sq . miles . 4. The diameter of a sphere is 21 inches ; what is the convex superficies of that segment of it whose height is 4 inches ? Ans . 296.8812 inches . 5. What is the ...
... supposing it to be a perfect sphere ? Ans . 198944286.35235 sq . miles . 4. The diameter of a sphere is 21 inches ; what is the convex superficies of that segment of it whose height is 4 inches ? Ans . 296.8812 inches . 5. What is the ...
Página 144
... supposing it to be perfectly spherical , and its diameter 7957 miles ? Ans . 263858149120 miles . Then , by the property of the circle , dx - x - y2 . But the general expression for the fluxion of any solid is py'x ; and therefore by ...
... supposing it to be perfectly spherical , and its diameter 7957 miles ? Ans . 263858149120 miles . Then , by the property of the circle , dx - x - y2 . But the general expression for the fluxion of any solid is py'x ; and therefore by ...
Página 161
... supposing both of them to be globular , as they are very nearly . The surfaces of all similar solids are to each other as the squares of their like dimensions ; such as diameters , circumferences , like linear sides , & c . & c . And ...
... supposing both of them to be globular , as they are very nearly . The surfaces of all similar solids are to each other as the squares of their like dimensions ; such as diameters , circumferences , like linear sides , & c . & c . And ...
Otras ediciones - Ver todas
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.