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... a circle . Find a point on the circle from which perpendiculars to the chords are propor- the lengths of the chords . tional to 9. In any quadrilateral , skew or plane , prove Queen's University Examinations : April , 1911 .
... a circle . Find a point on the circle from which perpendiculars to the chords are propor- the lengths of the chords . tional to 9. In any quadrilateral , skew or plane , prove Queen's University Examinations : April , 1911 .
Pagina
... plane , prove that the sum of the squares on the sides is greater than the sum of the squares on the diagonals by four times the square on the join of the middle points of the diagonals . 10. Show that the medians of a tetrahedron pass ...
... plane , prove that the sum of the squares on the sides is greater than the sum of the squares on the diagonals by four times the square on the join of the middle points of the diagonals . 10. Show that the medians of a tetrahedron pass ...
Pagina
... plane from a point in the plane . 2. Develop formulae to find the number of faces , edges and corners , in any polyhedron , given the number of faces at a corner , and the number of sides to a face ; and apply to the regular ...
... plane from a point in the plane . 2. Develop formulae to find the number of faces , edges and corners , in any polyhedron , given the number of faces at a corner , and the number of sides to a face ; and apply to the regular ...
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... plane p = y + аT , SаT = 0 . - 6. ( a ) Show that S ( p - y ) ( y ) a2 is tangent to a circle at the point p . ( b ) If π is fixed , find the perpendicular upon the line determined by p . 7. In the ellipse with equation Spop = 1 , find ...
... plane p = y + аT , SаT = 0 . - 6. ( a ) Show that S ( p - y ) ( y ) a2 is tangent to a circle at the point p . ( b ) If π is fixed , find the perpendicular upon the line determined by p . 7. In the ellipse with equation Spop = 1 , find ...
Pagina
... plane , and T is a variable point in the plane . On OT , OP is taken so that TP = TA . Find the locus of P , and show that the parallel plane at distance 20A is asymptotic . FINAL HONOURS . FINITE DIFFERENCES . 1. Find the value.
... plane , and T is a variable point in the plane . On OT , OP is taken so that TP = TA . Find the locus of P , and show that the parallel plane at distance 20A is asymptotic . FINAL HONOURS . FINITE DIFFERENCES . 1. Find the value.
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