An essay on mechanical geometry, explanatory of a set of models

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Page 6 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 13 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Page 25 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Page 26 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 14 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Page 39 - A right circular cone is often called a cone of revolution, because it can be generated by the revolution of a right-angled triangle about one of its shorter sides.
Page 12 - POSTULATES. 1. LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any distance from that centre.
Page 67 - Multiply half the circumference by half the diameter, and the product will be the area. Or, divide the product of the whole circumference and diameter -by 4, and the quotient will be the area. 2. Multiply the square of the diameter by .7854, and the product will be the area.
Page 86 - ... reafonable creatures •, for though we all call ourfelves fo, becaufe we are born to it if we pleafe, yet we may truly fay Nature gives us but the...
Page 42 - SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have...

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