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" When it is said that the angle = arc , it is only meant that, is equal to the radius, the number of these units in any other angle is found by dividing the number of linear units in its arc by the number of linear units in the radius. It only remains... "
Library of Useful Knowledge: Mathematics I. - Página 64
1836 - 323 páginas
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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831 - 108 páginas
...expresses the ratio of two magnitudes. When it is said that the angle = arc , it is only meant that, is equal to the radius, the number of these units...the radius being r, one half of the circumference is rx 3. 141 59266; and one-fourth of the circumference, or the arc of a right angle, is rx 1.57079633....
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On the Study and Difficulties of Mathematics

Augustus De Morgan - 1898 - 316 páginas
...meant that, on one particular supradius position, (namely, that the angle 1 is that angle whose arc is equal to the radius,) the number of these units...for our purpose, it follows that the radius being r, one-half of the circumference is r X 3.14159266 ; and one-fourth of the circumference, or the arc of...
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Myers-Brooks Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - 1907 - 432 páginas
...table: 5. Find the ratio of the circumferences to the diameters of the coins of problem 27, p. 90. 6. It is proved in Geometry that the ratio of the circumference of any circle to its diameter is about 3|, or more accurately 3.1416. If then, the diameter of a circle...
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Myers-Brooks Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - 1907 - 448 páginas
...table : 5. Find the ratio of the circumferences to the diameters of the coins of problem 27, p. 90. 6. It is proved in Geometry that the ratio of the circumference of any circle to its diameter is about 3|, or more accurately 3. 1416. If then, the diameter of a circle...
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Myers Arithmetic for Grammar Schools

George William Myers - 1912 - 410 páginas
...their circumferences to their diameters. If no circles are at hand use the measures of the table. 4. It is proved in Geometry that the ratio of the circumference of any circle to its diameter is about 3y, or more accurately 3.1416. If, then, the diameter of a circle...
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The Silver-Burdett Arithmetics: Complete book

George Morris Philips, Robert Franklin Anderson - 1913 - 520 páginas
...CH= 3 ch., and EL = 3 ch. The Circle (For definition of terms and important facts see page 229.) 460. It is proved in geometry that the ratio of the circumference of a circle to the diameter is 3.1416, nearly. The Greek letter IT (pi) stands for this ratio ; then, if...
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