## 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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**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 something ... Page 161

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**triangle**, in which the ranks exceed each other by an equal number of men : if the first rank consist of one man only , and the difference between the ranks be also 1 , then its form is that of an equilateral**triangle**; and when the ... Page 292

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**triangle**: and it receives particular denominations from the relations of its sides and angles . When defined according to its sides , it is equilateral , isosceles , or scalene . 30. An equilateral**triangle**is that whose three sides ... Page 293

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**triangle**is that which has one right angle . All other**triangles**are oblique - angled , and are either obtuse or acute . 34. An obtuse - angled**triangle**has one obtuse angle . 35. An acute - angled**triangle**has all its three angles ... Page 296

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**triangles**be identical , or equal in all respects . C F A B D E For conceive the**triangle**ABC to be applied to , or placed on , the**triangle**DEF , in such a manner that the point C may coincide with the point F , and the side AC with ...### Other editions - View all

### Common terms and phrases

a₁ ABCD algebraic annum arithmetical arithmetical progression base bisect centre circle circumference coefficients common difference compound compound interest cosec cube root decimal denominator denote diagonal diameter distance divided dividend division divisor draw drawn equal equiangular EXAMPLES expression factors figure fraction geometrical geometrical progression given number greater hence inscribed integer intersection least common multiple length less lineation logarithms method Multiply number of terms parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radius ratio rectangle Reduce remainder result right angles rule Scholium sides signs solution square root straight line subtract tangent THEOREM third triangle ABC vulgar fraction Whence whole yards