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 294
... altitude of a figure is a perpendicular let fall from an 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 ...
... altitude of a figure is a perpendicular let fall from an 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 ...
Page 306
... altitude , are equal . For the altitude is the same as the perpendicular or distance between the two parallels , which is every where equal , by the definition of parallels . Cor . 2. Parallelograms , or triangles , having equal bases ...
... altitude , are equal . For the altitude is the same as the perpendicular or distance between the two parallels , which is every where equal , by the definition of parallels . Cor . 2. Parallelograms , or triangles , having equal bases ...
Page 307
... altitude , because the altitude is the perpendicular distance between the parallels , which is every where equal , by the definition of parallels . Cor . 2. If the base of a parallelogram be half that of a triangle , of the same ...
... altitude , because the altitude is the perpendicular distance between the parallels , which is every where equal , by the definition of parallels . Cor . 2. If the base of a parallelogram be half that of a triangle , of the same ...
Page 308
... altitude , are equal ( cor . 2 , th . 25 ) , the parallelogram DG is equal to the parallelogram HE , and the triangle CGB is equal to the triangle CHB ; consequently the line BC bisects , or equally divides , the parallelogram AF , and ...
... altitude , are equal ( cor . 2 , th . 25 ) , the parallelogram DG is equal to the parallelogram HE , and the triangle CGB is equal to the triangle CHB ; consequently the line BC bisects , or equally divides , the parallelogram AF , and ...
Page 324
... altitude of a triangle or a parallelogram is the perpendicular distance ( or simply the distance , def . 50 ) of the vertex of the triangle , or the opposite side of the parallelogram from the base . 83. Two pairs of magnitudes are said ...
... altitude of a triangle or a parallelogram is the perpendicular distance ( or simply the distance , def . 50 ) of the vertex of the triangle , or the opposite side of the parallelogram from the base . 83. Two pairs of magnitudes are said ...
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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