## 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 Republic |

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12 feet 18 inches 20 feet 9 inches acres altitude angle arch base body breadth bricks bushels called cask centre cents chord circle circular circumference cone contain convex surface cube cubic feet cubic inches cylinder decimal depth describe diagonal diameter difference distance divide draw equal fall feet 6 inches feet in length figure find the area find the solidity foot frustum give given given line half head inscribed less lever mean measure miles minute multiply parallel pendulum perches perpendicular piece plane poles polygon pounds PROBLEM pyramid quotient radius raised rectangle regular Required the area right angles rods roof RULE RULE.—Multiply seconds segment side space specific gravity sphere square feet square root square yards superficial thickness third timber triangle velocity vibrations wall weight whole width wine gallons

### Popular passages

Page 11 - ... 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...

Page 78 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.

Page 26 - 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.

Page 61 - 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...

Page 27 - BD the two triangles ABD, BDC, have all the sides of the one equal to the corresponding...

Page 30 - 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.

Page 66 - 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.

Page 20 - 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.

Page 87 - 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.

Page 8 - 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.