Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and Concise System of Geometry and Mensuration : Adapted to the Use of Schools and Academies in the American RepublicB. Bannan, 1849 - 144 páginas |
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Página 75
... cone is a solid described by the revolu- tion of a right - angled triangle about one of its legs , which remains fixed ; as A B C. Fig . 5 . A 6. A pyramid is a solid whose sides are all triangles meeting in a point at the ver- tex ...
... cone is a solid described by the revolu- tion of a right - angled triangle about one of its legs , which remains fixed ; as A B C. Fig . 5 . A 6. A pyramid is a solid whose sides are all triangles meeting in a point at the ver- tex ...
Página 81
... cone . 1. What is the convex surface of the cone whose vertex is C , the diameter A D of its base being 8.5 feet , and the side CA , 50 feet ? Thus , first 3.1416 x 8.5 = 26.7036 = cir- cumference of base . Then 26-7036 x 50 ÷ 2-667-59 ...
... cone . 1. What is the convex surface of the cone whose vertex is C , the diameter A D of its base being 8.5 feet , and the side CA , 50 feet ? Thus , first 3.1416 x 8.5 = 26.7036 = cir- cumference of base . Then 26-7036 x 50 ÷ 2-667-59 ...
Página 82
... cone is 40 feet , and the height 50 feet ; required the solidity . Thus , 402x07958 1600 x07958 127.328 = area of base . 50 Then 127-328 x 3 6366.4 4 = 2122-1333 feet . Ans . 5. The circumference of the base of a cone is 10 feet , and ...
... cone is 40 feet , and the height 50 feet ; required the solidity . Thus , 402x07958 1600 x07958 127.328 = area of base . 50 Then 127-328 x 3 6366.4 4 = 2122-1333 feet . Ans . 5. The circumference of the base of a cone is 10 feet , and ...
Página 83
... cone , the diameter of the greater end being 4 feet , that of the less end 2 , and the altitude 9 feet ? Ans . 65.9736 feet . 5. What is the solidity of the frustum of a cone , the circum- ference of the greater end being 20 feet , and ...
... cone , the diameter of the greater end being 4 feet , that of the less end 2 , and the altitude 9 feet ? Ans . 65.9736 feet . 5. What is the solidity of the frustum of a cone , the circum- ference of the greater end being 20 feet , and ...
Página 84
... cone is 2513-28 feet , and the diameter 20 feet ; what is the altitude ? Ans . 24 feet . PROBLEM 15 . To find the surface of a regular pyramid . RULE . - Multiply the perimeter of the base by half the slant height , and the product will ...
... cone is 2513-28 feet , and the diameter 20 feet ; what is the altitude ? Ans . 24 feet . PROBLEM 15 . To find the surface of a regular pyramid . RULE . - Multiply the perimeter of the base by half the slant height , and the product will ...
Términos y frases comunes
12 feet 18 inches 20 feet 30 inches 9 inches acres altitude ameter base breadth bung diameter bushels cask centre chains chord circumference cone contain convex surface cube root cubic feet cubic foot cubic inches cylinder decimal depth describe diagonal distance divide a given equilateral triangle feet 6 inches feet in length feet long find the area find the solidity frustum girt given circle given line half head diameter hypotenuse inclined plane lever line A B measure miles parallel parallelogram pendulum perches perpendicular poles pounds PROBLEM pulley pyramid quotient radius rectangle regular polygon Required the area Required the content required the length required the number Required the solidity rhombus right angles rods RULE RULE.-Divide RULE.-Multiply the area segment slant height solid content solid feet specific gravity sphere square feet square root square yards straight line thickness ullage velocity versed sine vulgar fraction weight wine gallons
Pasajes populares
Página 13 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Página 80 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Página 28 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join AD; and at the point A, in the straight line AD, make (I.
Página 63 - To find the circumference of a circle when the diameter is given, or the diameter when the circumference is given. RULE. — Multiply the diameter by 3.1416...
Página 29 - BD the two triangles ABD, BDC, have all the sides of the one equal to the corresponding...
Página 32 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Página 68 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.
Página 22 - If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal.
Página 89 - To find the solidity of a sphere or globe.. RULE.* "... Multiply the cube of the diameter by .5236, and the product will be the solidity.
Página 10 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.