## A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |

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Page 291

The extremities of lines , and their mutual

The extremities of lines , and their mutual

**intersections**, are called points . A point , therefore , has no dimensions , but position only . 12. A straight line , or a right line , is that which preserves , at all its points , the same ... Page 298

THEOREM V. A E When two lines

THEOREM V. A E When two lines

**intersect**each other , the opposite angles are equal . LET the two lines AB , CD ,**intersect**in the point E ; then will the angle AEC be equal to the angle BED , and the angle AED equal to the angle CEB . Page 312

Let ABCD be a parallelogram , whose diagonals

Let ABCD be a parallelogram , whose diagonals

**intersect**each other in E : then AE will be equal to EC , and BE to ED ; and the sum of the squares of AC , BD , will be equal to the sum of the squares of AB , BC , CD , DA . Page 313

34 , the diagonals of a rhombus

34 , the diagonals of a rhombus

**intersect**at right angles . THEOREM XLI . А D E If a line , drawn through or from the centre of a circle , bisect a chord , it will be perpendicular to it ; or , if it be perpendicular to the chord ... Page 319

E B The angle formed , within a circle , by the

E B The angle formed , within a circle , by the

**intersection**of two chords , is measured by half the sum of the two intercepted arcs . Let the two chords AB , CD ,**intersect**at the point E : then the angle AEC , or DEB , is measured by ...### What people are saying - Write a review

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A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |

### Common terms and phrases

added algebraic angle answer applied arithmetical base called centre circle coefficients common compound contained continued cube decimal denominator denote describe diameter difference distance divided division divisor double draw drawn equal equation EXAMPLES expression extremes factors figure former four fraction functions give given greater half hence interest intersection join latter length less manner means measure meeting method Multiply obtained operation opposite parallel parallelogram perpendicular plane position principal PROBLEM proportional quantity question quotient radius ratio rectangle Reduce remainder respectively result right angles root rule sides signs simple solution square subtract successive supposing taken THEOREM third triangle Whence whole yards