# 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

B. Bannan, 1849 - 144 sider

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### Innhold

 equal to each other both in area 35 On a given line to form a regular octa 41 The area of a square being given 47 Artificers work 98 Cisterns 104
 Vaulted and arched roofs 111 by falling from any given height 112 gravity 118 To find the quantity of water dis 127 Inclined Plane 133

### Populĉre avsnitt

Side 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...
Side 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.
Side 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.
Side 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...
Side 29 - BD the two triangles ABD, BDC, have all the sides of the one equal to the corresponding...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.