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1831 Nov. 22
Posology
Euclids Imperfections
to give expression to your angle, you take any greater number of those parts, you have then in a wedge wedge but your wedge has a different boundary, a boundary constituted by the remainder of the circle: the arc of it having for its boundaries the two other sides of the lines that formed the boundaries of your first wedge.
The circle being then divided into 360 parts; the number of these parts contained in that the circle that bounds your angle is the number of degrees spoken of as contained in that same angle: for example an angle of 45 degrees is an angle the two constituent sides of which terminate respectively in 45 out of the 360 degrees into which your circle is considered as divided
Note for those for conveying a clear and correct conception of an angle, a right line will be better adapted than a curve line: for by the idea a curve line, the mind is led to a complicated description on the subject of the relation borne by the different species of curves, to one another, and to a right line: and, for this, the wedge, the base of which is a c portion of the , or the wedge which is the basis of the correspondent portion of a circumscribed polygon may, either of them, serve. This , you have a right lined triangle, off which [in the case, the this case the of the inscribed wedge or say sector,] the base is the second of the circle, and the two sides the line by the meeting of which at the ends a triangle — an isosceles species of triangle — namely that called an isosceles triangle — is formed.
Note however that though the sector is then , denominated, secant is apparently d:: for by it the circle is actually cut, [+] Take a Chester cheese [+] The form of a Chestern cheese is the an exemplification of that of solid species of solid called a cylinder. Take one of these cylinders & apply a knife to it at right angles to the upper circular surface of the cylinder, in such manner as to cut through the cheese in that same direction with the line which the knife has drawn in that surface is a secant of that circle: and is likewise the line direction at the bottom of the cylinder in the place at which that same has been cut through.
Of To this same circular
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Identifier: | JB/135/160/001"JB/" can not be assigned to a declared number type with value 135. |
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1831-11-22 |
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135 |
posology |
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jeremy bentham |
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46278 |
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