A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
From inside the book
Results 1-5 of 26
Page 293
... parallelogram is a quadrilateral which has both its pairs of opposite sides parallel . And it takes the following particular names , viz . rectangle , square , rhombus , rhomboid . 38. A rectangle is a parallelogram , having a right ...
... parallelogram is a quadrilateral which has both its pairs of opposite sides parallel . And it takes the following particular names , viz . rectangle , square , rhombus , rhomboid . 38. A rectangle is a parallelogram , having a right ...
Page 305
... parallelogram are equal to each other ; and the diagonal divides it into two equal triangles . LET ABCD be a parallelogram , of which the diagonal is BD ; then will its opposite sides and angles be equal to each other , and the diagonal ...
... parallelogram are equal to each other ; and the diagonal divides it into two equal triangles . LET ABCD be a parallelogram , of which the diagonal is BD ; then will its opposite sides and angles be equal to each other , and the diagonal ...
Page 306
... parallelograms , and ABC , ABF , two triangles , standing on the same base AB , and between the same parallels AB , DE ; then will the paral- lelogram ABCD be equal to the parallelogram ABEF , and the triangle ABC equal to the triangle ...
... parallelograms , and ABC , ABF , two triangles , standing on the same base AB , and between the same parallels AB , DE ; then will the paral- lelogram ABCD be equal to the parallelogram ABEF , and the triangle ABC equal to the triangle ...
Page 307
... parallelogram of the same base and 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 ...
... parallelogram of the same base and 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 ...
Page 308
... 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 ABCD is the half of it . THEOREM XXX . The sum of ...
... 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 ABCD is the half of it . THEOREM XXX . The sum of ...
Other editions - View all
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