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We will debate as to whether this equality of parts exists in all parallelograms, trapeziums, and like figures. Sometimes we will endeavor to guess at the result of the experiment before we make it, and sometimes to find out the reasons why it should result as it does. Geometry for my pupil is only the art of using the rule and compass well.
No. 9 monitor has another set of geometrical definitions on the same principle, as a perpendicular line, a horizontal line, an oblique line, parallel lines, curved lines, diverging or converging lines, an obtuse angle, a circle. No. 10 a different set of geometrical shapes, viz. sociles-triangles, scolene-triangles, rectangle, rhomb, rhomboid, trapezoid, trapeziums, ellipse or oval.
Our scales were, generally speaking, so large that spaces from four to five leagues square were not omitted. We observed this degree of precision that we might not add the uncertainty of the measure of triangles, trapeziums, and the sinuosities of the coasts, to the uncertainty of geographical statements. Surface Pop. Possessions of the Spanish Americans : 371,380 : 16,785,000.
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