| Multiply diameter by | 0.7071. |
| Or multiply circumference by | 0.2251. |
| Or divide circumference by | 4.4428. |
TO FIND SIDE OF AN EQUAL SQUARE—
| Multiply diameter by | 0.8862. |
| Or divide diameter by | 1.1284. |
| Or multiply circumference by | 0.2821. |
| Or divide circumference by | 3.545. |
SQUARE—
| A side multiplied by | 1.4142 equals diameter of its circumscribing circle. | ||
| A side multiplied by | 4.443 equals circumference of its circumscribing circle. | ||
| A side multiplied by | 1.128 equals diameter | } | of an equal circle. |
| A side multiplied by | 3.545 equals circumference | ||
| A side multiplied by | 1.273 equals circle inches | ||
TO FIND THE AREA OF A CIRCLE—
| Multiply circumference by one-quarter of the diameter. | |
| Or multiply the square of diameter by | 0.7854. |
| Or multiply the square of circumference by | .07958. |
| Or multiply the square of 1⁄2 diameter by | 3.1416. |
Contents of cylinder = area of end × length. Contents of wedge = area of base × 1⁄2 altitude. Surface of cylinder = area of both ends × length × circumference. Surface of sphere = diameter squared × 3.1416, or = diameter × circumference. Contents of sphere = diameter cubed × .5236. Contents of pyramid or cone, right or oblique, regular or irregular = area of base × 1⁄3 altitude. Area of triangle = base × 1⁄2 altitude. Area of parallelogram = base × altitude. Area of trapezoid = altitude × 1⁄2 the sum of parallel sides.
ROMAN TABLE.
| I. | denotes | One. |
| II. | „ | Two. |
| III. | „ | Three. |
| IV. | „ | Four. |
| V. | „ | Five. |
| VI. | „ | Six. |
| VII. | „ | Seven. |
| VIII. | „ | Eight. |
| IX. | „ | Nine. |
| X. | „ | Ten. |
| XI. | „ | Eleven. |
| XII. | „ | Twelve. |
| XIII. | „ | Thirteen. |
| XIV. | „ | Fourteen. |
| XV. | „ | Fifteen. |
| XVI. | „ | Sixteen. |
| XVII. | „ | Seventeen. |
| XVIII. | „ | Eighteen. |
| XIX. | „ | Nineteen. |
| XX. | „ | Twenty. |
| XXX. | „ | Thirty. |
| XL. | „ | Forty. |
| L. | „ | Fifty. |
| LX. | „ | Sixty. |
| LXX. | „ | Seventy. |
| LXXX. | „ | Eighty. |
| XC. | „ | Ninety. |
| C. | „ | One hundred. |
| D. | „ | Five hundred. |
| M. | „ | One thousand. |
| X̅. | „ | Ten thousand. |
| M̅. | „ | One million. |