Explanatory mensuration for the use of schools1871 |
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... POLYGON 44 IX . THE IRREGULAR POLYGON 47 X. OFFSETS 51 XI . THE CIRCLE . THE CIRCUMFERENCE AND DIAMETER 54 XII . THE AREA OF A CIRCLE 57 XIII . THE CHORDS OF A CIRCLE 65 XIV . THE ARC OF A CIRCLE 70 XV . THE SECTOR OF A CIRCLE 75 XVI ...
... POLYGON 44 IX . THE IRREGULAR POLYGON 47 X. OFFSETS 51 XI . THE CIRCLE . THE CIRCUMFERENCE AND DIAMETER 54 XII . THE AREA OF A CIRCLE 57 XIII . THE CHORDS OF A CIRCLE 65 XIV . THE ARC OF A CIRCLE 70 XV . THE SECTOR OF A CIRCLE 75 XVI ...
Página 5
... polygon is a figure contained by three or more sides , though it is generally the name given to a figure bounded by ... polygon are equal , and all its angles equal , then it is called a regular polygon ; but if the sides are unequal ...
... polygon is a figure contained by three or more sides , though it is generally the name given to a figure bounded by ... polygon are equal , and all its angles equal , then it is called a regular polygon ; but if the sides are unequal ...
Página 43
... a trapezoid , is £ 9 8s . 6d .; the parallel sides are 200 yds . and 119 yds . , and the perpendicular distance between them is 110 yds . Find the charge per acre . 44 VIII . THE REGULAR POLYGON . E Definitions . THE TRAPEZOID . 43.
... a trapezoid , is £ 9 8s . 6d .; the parallel sides are 200 yds . and 119 yds . , and the perpendicular distance between them is 110 yds . Find the charge per acre . 44 VIII . THE REGULAR POLYGON . E Definitions . THE TRAPEZOID . 43.
Página 44
Alfred Hiley. 44 VIII . THE REGULAR POLYGON . E Definitions . - A polygon is a figure contained by three or more sides ; and it is also called re- gular when all its sides and angles are equal . o is the centre of the polygon . OH is the ...
Alfred Hiley. 44 VIII . THE REGULAR POLYGON . E Definitions . - A polygon is a figure contained by three or more sides ; and it is also called re- gular when all its sides and angles are equal . o is the centre of the polygon . OH is the ...
Página 45
... polygon , and the quotient is the length of each side . Note 2. - To find the length of each side when the area only is given . - Divide the area by the number standing opposite its name in the preceding table ; then , the square root ...
... polygon , and the quotient is the length of each side . Note 2. - To find the length of each side when the area only is given . - Divide the area by the number standing opposite its name in the preceding table ; then , the square root ...
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Términos y frases comunes
ABCD Area of base Arithmetic avoirdupois axis centre chains chord of half circle circular ends circumference cone contains cube cubic feet cubic foot cubic inches curved surface cylinder depth diagonal dimensions divide edge EFGH ellipse equal Example 1.-Find Example 2.-The find its volume find the area Find the cost find the diameter find the height find the length Find the number Find the volume Formulæ frustum gonal half the arc hypothenuse Note 1.-To find oblique parallel sides parallelogram parallelopiped perimeter perpendicular distance perpendicular height poles polygon prism prismoid Prob pyramid quotient radius rectangle respectively rhombus right-angled triangle right-cone ring roods sector segment semicircle shape side faces slant height solid sphere square pyramid square root straight line thick trapezium trapezoid water weighs 1000 wedge weighs 1000 oz whole surface wide width yards zoid
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Página 23 - 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 118 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 63 - Or, from 8 times the chord of half the arc, subtract the chord of the whole arc, and $ of the remainder will be the length of the arc, nearly.
Página 33 - Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area.
Página 19 - A rectangle is a four-sided figure like a square, in which the sides are perpendicular to each other, but the adjacent sides are not equal. 280. A parallelogram is a foursided figure which has its opposite sides equal and parallel, but its angles not right angles. The line DE, perpendicular to the base, is called the altitude.
Página 149 - Such a work will be of value to a candidate as a test of his ability to work the Arithmetical problems he is likely to have given him to solve in his examination ; but when it is used simply as a means of cramming the pupil, it becomes pernicious. We notice Mr. Hiley has carefully arranged...