## Mensuration of Lines, Areas, Surfaces, and Volumes ...1856 |

### From inside the book

Results 1-5 of 15

Page vii

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**divided**by π 8 , and the cube root of the result extracted ; then the formula will stand thus : - D = - } + S6 WI ποδ { which gives the diameter , Suppose , in the second place , that the weight and diameter of the sphere were known ... Page 1

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**divided**in the points G , H , I. PROBLEM 2 . G H I B To divide a line A B in the same proportion as a given line CD . Draw AH , in any direction , equal to CD , and place upon it AI , IK , KL , & c . , equal to CE , a EF , FG , & c ... Page 29

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**divided**by the diameter of the circle . The Catenary . The arc AD B = 2 √ D C2 + 2 D C.t where t is the tension at D. DC + t + ND C2 + 2 D C.t BC AC = log . t B MENSURATION OF SUPERFICES OR SURFACES . TABLE OF SQUARE UNITS MENSURATION ... Page 33

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**divided**by its perpendicular , and the base is 8 feet ; what is the area ? Section 8 . 20. The area of a triangle is equal to the perpendicular added to 7 , and the base is equal to 5 ; find the perpendicular and area . 21. The area of ... Page 35

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**divided**into triangles whose areas may be found by Prob . 1 . PROBLEM 3 . To find the area of a parallelogram . Rule . - Multiply the base ( A B ) by the per- A pendicular ( EF ) be- tween the sides , and the product will be the area ...### Other editions - View all

### Common terms and phrases

15 feet 9 feet 9 inches angle and area ANSWERS TO EXAMPLES base centre of gravity chains circle is equal circumscribed circles common interval cone cubic feet cubic foot curve in Example cylinder diameter and height displacement distance divided ellipse EXAMPLES IN PROB feet 6 inches feet 9 feet pitch find its area find its volume find the angle find the area Find the centre Find the diameter find the length Find the volume Find the weight foot length formula horizontal line inches diameter inches length internal diameters knots per hour line A B measured metacentric parabola paraboloid perpendicular PROBLEM radius revolutions per minute Riga fir Rule.-Multiply ship Simpson's rule solid solid of revolution square feet square yards straight line three sides tons versed sine vertical section vessel volume and surface

### Popular passages

Page xv - LET it be granted that a straight line may be drawn from any one point to any other point.

Page xiii - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.

Page xii - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VIII. " A plane angle is the inclination of two lines to one " another in a plane, which meet together, but are not

Page xv - An oblong is that which has all its angles right angles, but has not all its sides equal.

Page xii - When several angles are at one point B, any one of them is expressed by three letters, of which the letter that is at vertex of the angle, that is, at the point in which the straight lines that contain the angle meet one another, is put between the other two letters, and one of these two is somewhere upon one of those straight...

Page xii - A plane rectilineal angle is the inclination of two straight lines to one another, -which meet together, but are not in the same straight line.

Page xiv - Of three-sided figures, an equilateral triangle is that which has three equal sides.

Page xvi - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Page xiii - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle. 17. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page xvi - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.