## 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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**planes**and solids have also , for the most part , been modified and rewritten . The practical geometry has been entirely recomposed , and in especial reference to the circumstances under which the problems themselves occur in practice ... Page vi

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**plane**trigonometry nothing besides the examples for exercise , of the last edition , remains in this . To give every thing essential to elemen- tary trigonometry investigated in a direct and simple manner , and en- tirely to exclude all ... Page viii

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**plane**surfaces 478 414 273 285 279 Surfaces and volumes of solid figures with**plane**boundaries .. 486 426 Interpolation of series 287 281 Scholium on piles of balls ... 289 284 The cone , cylinder , and sphere 487 427 Problems on ... Page 1

... Problem . 7. A Theorem is a demonstrative Proposition ; in which some property is asserted , and the truth of it required to be proved . Thus , when it is said that , VOL . I. B The sum of the three angles of a

... Problem . 7. A Theorem is a demonstrative Proposition ; in which some property is asserted , and the truth of it required to be proved . Thus , when it is said that , VOL . I. B The sum of the three angles of a

**plane**triangle ARITHMETIC. Page 2

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**plane**triangle is equal to two right angles , that is a Theorem , the truth of which is demonstrated by Geometry . A set or col- lection of such Theorems constitutes a Theory . 8. A Problem is a proposition or a question requiring ...### 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