A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 2
... 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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
... triangles be identical , or equal in all respects . C F 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 the ...
... triangles be identical , or equal in all respects . C F 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 the ...
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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