Euclidian Geometry |
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Page 236
... diagonals of a quadrilateral bisect each other , the figure is a parallelogram . 38. Draw lines through the angular points of a paral- lelogram which shall form another parallelogram double the former . 39. If equal triangles are ...
... diagonals of a quadrilateral bisect each other , the figure is a parallelogram . 38. Draw lines through the angular points of a paral- lelogram which shall form another parallelogram double the former . 39. If equal triangles are ...
Page 238
... diagonals . 58. Draw an isosceles triangle having each of the angles at the base half as large again as the vertical angle . 59. Bisect a parallelogram by a straight line passing through a given point . 60. Prove that the diagonals of a ...
... diagonals . 58. Draw an isosceles triangle having each of the angles at the base half as large again as the vertical angle . 59. Bisect a parallelogram by a straight line passing through a given point . 60. Prove that the diagonals of a ...
Page 242
... diagonal of a square ABCD , cut off AE equal to one - fourth of AC , and join BE , DE . Shew that the figure ... diagonals of a quadrilateral cut each other at right angles , prove that the squares described on two opposite sides ...
... diagonal of a square ABCD , cut off AE equal to one - fourth of AC , and join BE , DE . Shew that the figure ... diagonals of a quadrilateral cut each other at right angles , prove that the squares described on two opposite sides ...
Page 245
... = 2 sq . on RQ + 2 sq . on QT . 22. The squares on the lines drawn from any given point to the extremities of one diagonal of a rectangle are together equal to the squares on the lines drawn to GEOMETRICAL EXERCISES . 245.
... = 2 sq . on RQ + 2 sq . on QT . 22. The squares on the lines drawn from any given point to the extremities of one diagonal of a rectangle are together equal to the squares on the lines drawn to GEOMETRICAL EXERCISES . 245.
Page 246
... diagonal . 23. The base of a triangle is fixed , and the sum of the squares on the sides is constant ; determine the locus of the vertex . 24. In every parallelogram the squares on the sides are together equal to the squares on the ...
... diagonal . 23. The base of a triangle is fixed , and the sum of the squares on the sides is constant ; determine the locus of the vertex . 24. In every parallelogram the squares on the sides are together equal to the squares on the ...
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Common terms and phrases
Algebra ATHENĈUM base Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater Hence inscribed intersecting isosceles triangle LAPB Latin Let ABC line bisecting locus Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively rhombus right angles Schools Second Edition segment Similarly squares on AC straight line drawn straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex