 | William Hawney - 1820 - 336 Seiten
...spheroid : Then 'Ife2 : Nn» :: A&2 : a*2, by section XV. p. 127, (hat is, Ds : d3 :: A62 : ab2 ; but all circles are to each other as the squares of their radii. Now, the solidity of the sphere may be imagined to be constituted of an infinite number of circles,... | |
 | Anthony Nesbit - 1824 - 476 Seiten
...proportion to each other, as the radii or diameters of the circles. (Em. IV. 8 &9.) THEOREM XVIII. Circles are to each other as the squares of their radii, diameters, or circumferences. (Em, IV. 35. ) THEOREM XIX. Similar polygons described in circles, are to each other, as the circles... | |
 | Anthony Nesbit - 1847 - 492 Seiten
...proportion to each other, as the radii or diameters of the circles. (Em. IV. 8 & 9.) THEOREM XVIII. Circles are to each other as the squares of their radii, diameters, or circumferences. (Em. IV. 35.) THEOREM XIX. \ Similar polygons described in circles are to each other, as the circles... | |
 | James Stewart Eaton - 1857 - 376 Seiten
...the area is divided by .785398, the quotient will be the square of the diameter. 5. The areas of two circles are to each other as the squares of their radii, diameters or circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled triangle is equal to the sum... | |
 | Horatio Nelson Robinson - 1859 - 348 Seiten
...right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 1. The two sides of a right-angled triangle are 3 and 4 feet ; what is the length of the hypotenuse... | |
 | Horatio Nelson Robinson - 1860 - 444 Seiten
...class relating to circles, may be solved by means of the following property : — The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. NOTE. — This property of the circle is only a particular case of a more general principle, viz. :... | |
 | James Stewart Eaton - 1868 - 356 Seiten
...the area is divided by .785398, the quotient will be the square of the diameter. 10. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 376. Of an equilateral triangle? Of the perpendicular drawn from the vertical angle of an equilateral... | |
 | Anthony Nesbit - 1870 - 578 Seiten
...proportion to each other as the radii, or diameters, of the circles (Em. iv. 8, 9). THEOREM XVIII. Circles are to each other as the squares of their radii, diameters, or circumferences (Em. iv. 35). THEOREM XIX. Similar polygons described in circles are to each other as the circles in... | |
 | Horatio Nelson Robinson - 1888 - 372 Seiten
...right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 1. The two sides of a right-angled triangle are 3 and 4 feet ; what is the length of the hypotenuse... | |
 | Horatio Nelson Robinson - 1892 - 428 Seiten
...is equal to the square root of the sum of the squares of the other two sides. III. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. IV. The base or perpendicular of a right-angled triangle is equal to the square root of the difference... | |
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The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 1. The two sides of a right-angled triangle are 3 and 4 feet ; what is the length of the hypotenuse ? ANALYSIS. Squaring OPERATION. 
