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Pagina 7
... angles and circumdiameter ; and from it show when the radius is real , zero , or imaginary . • 5. Two circles touch three others . Show how the cen- tres of similitude and radical axis of the two are related to the radical centre and ...
... angles and circumdiameter ; and from it show when the radius is real , zero , or imaginary . • 5. Two circles touch three others . Show how the cen- tres of similitude and radical axis of the two are related to the radical centre and ...
Pagina 9
... angles between the lines ax2 + 2hxy + by2 = 0 . 3. The chord of the circle 7 ( x2 + y2 ) -17x - 23y + 6 = 0 intercepted on the line 3x + 2y = 6 subtends a right angle at the origin . 4. Show that the locus of the point of intersection ...
... angles between the lines ax2 + 2hxy + by2 = 0 . 3. The chord of the circle 7 ( x2 + y2 ) -17x - 23y + 6 = 0 intercepted on the line 3x + 2y = 6 subtends a right angle at the origin . 4. Show that the locus of the point of intersection ...
Pagina 9
... at the point 4 , where & is the eccentric angle of the ellipse . 8. The focal lines to any point on an ellipse are equally inclined to the normal at that point . PRELIMINARY HONOURS . TRIGONOMETRY I. 1. Draw the graph of.
... at the point 4 , where & is the eccentric angle of the ellipse . 8. The focal lines to any point on an ellipse are equally inclined to the normal at that point . PRELIMINARY HONOURS . TRIGONOMETRY I. 1. Draw the graph of.
Pagina 10
... angle , change the cosine formula to a form adapted to logarithms ; and use the result to find c when a = 20 , b = 30 , C = 42 ° 18 ′ . 5. The sides of a quadrilateral in order are 10 , 17 , 14 , 16 ; and the angle between the diagonals ...
... angle , change the cosine formula to a form adapted to logarithms ; and use the result to find c when a = 20 , b = 30 , C = 42 ° 18 ′ . 5. The sides of a quadrilateral in order are 10 , 17 , 14 , 16 ; and the angle between the diagonals ...
Pagina
... angle of a three - faced corner in terms of the face angles . ( b ) Find the dihedral angle of a regular octahedron . 3. Find R , p , r for the regular icosahedron in terms of an edge . 4. If an equilateral cone and an equilateral ...
... angle of a three - faced corner in terms of the face angles . ( b ) Find the dihedral angle of a regular octahedron . 3. Find R , p , r for the regular icosahedron in terms of an edge . 4. If an equilateral cone and an equilateral ...
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