Mensuration for Beginners: With Numerous ExamplesMacmillan and Company, 1869 - 296 páginas |
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Página 26
... difference , and extract the square . root of the product . 61. Examples . ( 1 ) The hypotenuse is 10 feet , and one side is 8 feet . The square of 10 is 100 , and the square of 8 is 64 ; take 64 from 100 , and the remainder is 36 ; the ...
... difference , and extract the square . root of the product . 61. Examples . ( 1 ) The hypotenuse is 10 feet , and one side is 8 feet . The square of 10 is 100 , and the square of 8 is 64 ; take 64 from 100 , and the remainder is 36 ; the ...
Página 27
... difference ; therefore if the square of 408 be divided by 578 , the quotient will be the difference of the hypotenuse and the other side . In this way we find that the differ- ence of the hypotenuse and the other side is 288 . Thus the ...
... difference ; therefore if the square of 408 be divided by 578 , the quotient will be the difference of the hypotenuse and the other side . In this way we find that the differ- ence of the hypotenuse and the other side is 288 . Thus the ...
Página 28
... difference is 288. Add and divide by 2 ; thus we obtain 433 , which is the hypotenuse . Subtract 433 from 578 and we obtain 145 , which is the other side . ( 2 ) Each side of an equilateral triangle is 1 foot re- quired the height of ...
... difference is 288. Add and divide by 2 ; thus we obtain 433 , which is the hypotenuse . Subtract 433 from 578 and we obtain 145 , which is the other side . ( 2 ) Each side of an equilateral triangle is 1 foot re- quired the height of ...
Página 29
... difference between the hypotenuse and the other side is 625 feet : find the hypotenuse and the other side . 19. A ladder 25 feet long stands upright against a wall : find how far the bottom of the ladder must be pulled out from the wall ...
... difference between the hypotenuse and the other side is 625 feet : find the hypotenuse and the other side . 19. A ladder 25 feet long stands upright against a wall : find how far the bottom of the ladder must be pulled out from the wall ...
Página 49
... inner is 480 feet : find the breadth of the road . 20. The difference between the diameter and the cir- cumference of a circle is 10 feet : find the diameter . T. M. 4 IX . ARC OF A CIRCLE . B 114. Let EXAMPLES . VIII . 49.
... inner is 480 feet : find the breadth of the road . 20. The difference between the diameter and the cir- cumference of a circle is 10 feet : find the diameter . T. M. 4 IX . ARC OF A CIRCLE . B 114. Let EXAMPLES . VIII . 49.
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Términos y frases comunes
12 feet 12 inches 20 inches 24 feet 9 inches ABCD acres breadth centre chains chord of half circle circumference cubic feet cubic foot cubic inches curved surface diagonal distance divided edge ends Examples feet 6 inches feet 9 feet long feet respectively find the area find the cost find the height find the length Find the number find the radius find the volume following dimensions frustum half the arc height 2 feet hypotenuse inches long inches wide multiply number of cubic parallel sides parallelogram perimeter perpendicular plane parallel polygon prism prismoid pyramid radii radius of base rectangle rectangular parallelepiped rectilineal figure regular polygon rhombus right angles right circular cone right circular cylinder Rule of Art sector segment shew slant height solid solve some exercises sphere square feet square inches square root square yard superficial primes Suppose trapezoid wedge whole surface yards 1 foot yards 2 feet
Pasajes populares
Página 4 - 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.
Página 124 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 17 - 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 line BC. In BC take any point g D, and join AD ; at the point A in the straight line AD, make the angle DAE equal to the angle
Página 74 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area.
Página 18 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. Let AB be the given straight line, which may be produced to any length both ways, and let c be a point without it.
Página 7 - 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.
Página 4 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Página 272 - The content of a cistern is the sum of two cubes whose edges are 10 inches and 2 inches, and the area of its base is the difference of two squares whose sides are 1¿ and If feet.
Página 155 - To the areas of the two ends of the frustum add the square root of their product ; multiply the sum by the height of the frustum ; and one-third of the product will be the volume.
Página 230 - Add into one sum 39 times the square of the bung diameter, 25 times the square of the head diameter, and 26 times the product of the...