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 297
... bisects the vertical angle of an isosceles triangle , bisects the base , and is also perpendicular to it . Cor . 2. Hence too it appears , that every equilateral triangle , is also equi- angular , or has all its angles equal . THEOREM ...
... bisects the vertical angle of an isosceles triangle , bisects the base , and is also perpendicular to it . Cor . 2. Hence too it appears , that every equilateral triangle , is also equi- angular , or has all its angles equal . THEOREM ...
Page 307
... bisects the three parallelo- grams AC , EG , HG ( th . 22 ) ; therefore , the whole triangle DAB being equal to the whole triangle DCB , and the parts DEI , IHB , respectively equal to the parts DGI , IFB , the remaining parts AI , IC ...
... bisects the three parallelo- grams AC , EG , HG ( th . 22 ) ; therefore , the whole triangle DAB being equal to the whole triangle DCB , and the parts DEI , IHB , respectively equal to the parts DGI , IFB , the remaining parts AI , IC ...
Page 308
... bisects , or equally divides , the parallelogram AF , and ABCD is the half of it . THEOREM XXX . The sum of all the rectangles contained under one whole line , and the several parts of another line , any way divided , is equal to the ...
... bisects , or equally divides , the parallelogram AF , and ABCD is the half of it . THEOREM XXX . The sum of all the rectangles contained under one whole line , and the several parts of another line , any way divided , is equal to the ...
Page 312
... bisecting it into the two equal parts AD , DB ; then will the sum of the squares of AC , CB , be equal to twice the sum ... bisect each other ; and the sum of their squares is equal to the sum of the squares of all the four sides of the ...
... bisecting it into the two equal parts AD , DB ; then will the sum of the squares of AC , CB , be equal to twice the sum ... bisect each other ; and the sum of their squares is equal to the sum of the squares of all the four sides of the ...
Page 313
... bisect both the chord and the arc of the chord . LET AB be any chord in a circle , and CD a line drawn from the ... bisecting any chord at right angles , passes through the centre of the circle . THEOREM XLII . If more than two equal ...
... bisect both the chord and the arc of the chord . LET AB be any chord in a circle , and CD a line drawn from the ... bisecting any chord at right angles , passes through the centre of the circle . THEOREM XLII . If more than two equal ...
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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