A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page 302
... parallel lines , the outward angle is equal to the inward oppo- site one , on the same side ; and the two inward angles , on the same side , are toyether equal to two right angles . LET the line EF cut the two parallel lines AB , CD ...
... parallel lines , the outward angle is equal to the inward oppo- site one , on the same side ; and the two inward angles , on the same side , are toyether equal to two right angles . LET the line EF cut the two parallel lines AB , CD ...
Page 305
... parallel . LET ABCD be a quadrangle , having the opposite sides equal , namely , the side AB equal to DC , and AD equal to BC ; then shall these equal sides be also parallel , and the figure a parallelogram . B For , let the diagonal BD ...
... parallel . LET ABCD be a quadrangle , having the opposite sides equal , namely , the side AB equal to DC , and AD equal to BC ; then shall these equal sides be also parallel , and the figure a parallelogram . B For , let the diagonal BD ...
Page 306
... parallels , are equal to each other . LET ABCD , ABEF , be two 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 ...
... parallels , are equal to each other . LET ABCD , ABEF , be two 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 ...
Page 307
... parallel , is equal to half a parallelogram , whose base is the sum of those two sides , and its altitude the perpendicular dis- tance between them . с H LET ABCD - be the trapezoid , having its two sides AB , DC , parallel ; and in AB ...
... parallel , is equal to half a parallelogram , whose base is the sum of those two sides , and its altitude the perpendicular dis- tance between them . с H LET ABCD - be the trapezoid , having its two sides AB , DC , parallel ; and in AB ...
Page 308
... parallel to AD , to which they are equal ( th . 22 ) . Then the whole rectangle AC is made up of all the other rectangles AG , EH , FC : but these rectangles are contained by AD and AE , EG and EF , FH and FB ; which are equal to the ...
... parallel to AD , to which they are equal ( th . 22 ) . Then the whole rectangle AC is made up of all the other rectangles AG , EH , FC : but these rectangles are contained by AD and AE , EG and EF , FH and FB ; which are equal to 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