## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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**segment**is any part of a circle bounded by an arc and its chord . 21. A semicircle is half the circle , or a**segment**cut off by a diameter . The half circumference is sometimes called the Semicircle . 22. A sector is any part of a ... Page 295

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**segment**, or an arc , is that which is contained by two lines , drawn from any point in the opposite or supplemental part of the circum- ference , to the extremities of the arc , and containing the arc between them . 65. An angle at the ... Page 311

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**segments**of the base , or of the two lines , or distances , included between the extremes of the base and the perpendicular . LET ABC be any triangle , having CD perpendicu lar to AB ; then will the difference of the squares of AC , BC ... Page 312

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**segments**of the base , is equal to the square of one of the equal sides of the triangle . LET ABC be the isosceles triangle , and CD a line drawn from the vertex to any point D in the base : then will the square of AC be equal to the ... Page 316

... half the arc AB ( th . 48 ) ; it follows , by equal subtraction , that the differ- ence , or angle BAC , must be measured by half the arc BC , which it stands upon . THEOREM L. All angles in the same

... half the arc AB ( th . 48 ) ; it follows , by equal subtraction , that the differ- ence , or angle BAC , must be measured by half the arc BC , which it stands upon . THEOREM L. All angles in the same

**segment**of a 316 GEOMETRY .### Other editions - View all

### Common terms and phrases

ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence