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Table of Contents

APPENDIX XI. ON HORNER’S METHOD OF SOLVING EQUATIONS.

1

Various exceptions may arise when an equation has two nearly equal roots. But I do not here introduce algebraical difficulties; and a student might give himself a hundred examples, taken at hazard, without much chance of lighting upon one which gives any difficulty.

2

This form might be also applied to the integer portions; but it is hardly needed in such instances as usually occur. See the article Involution and Evolution in the Supplement to the Penny Cyclopædia.

3

After the second step, the trial will rarely fail to give the true figure.

APPENDIX XII. RULES FOR THE APPLICATION OF ARITHMETIC TO GEOMETRY.

1

A four-sided figure, which has two sides parallel, and two sides not parallel.

2

The right angle is divided into 90 equal parts called degrees, each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds. Thus, 2° 15′ 40″ means 2 degrees, 15 minutes, and 40 seconds.

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