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 292
... angle , and the straight lines are said to be perpen- dicular to one another . 26. An oblique angle is that which is made by two oblique lines ; and is either less or greater than a right angle . Of oblique angles , that which is less ...
... angle , and the straight lines are said to be perpen- dicular to one another . 26. An oblique angle is that which is made by two oblique lines ; and is either less or greater than a right angle . Of oblique angles , that which is less ...
Page 293
... 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 acute . 36. A figure of four sides and angles ...
... 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 acute . 36. A figure of four sides and angles ...
Page 294
... angle , or its vertex , to the opposite side , called the base . V de 57. In a right - angled triangle , the side opposite the right angle is called the hypothenuse ; and the other two sides are called the legs , and sometimes the base ...
... angle , or its vertex , to the opposite side , called the base . V de 57. In a right - angled triangle , the side opposite the right angle is called the hypothenuse ; and the other two sides are called the legs , and sometimes the base ...
Page 295
... angle on a 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 ...
... angle on a 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 ...
Page 296
... angles are equal to one another . 11. Angles that have equal measures , or arcs , are equal . THEOREM I. * If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other , the ...
... angles are equal to one another . 11. Angles that have equal measures , or arcs , are equal . THEOREM I. * If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other , 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