Examination Papers |
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psl.
Puis , à l'angle de la vitre , apparut un petit papier roulé qui glissa lentement et tomba au pied de la muraille . Alors elle se leva doucement , retenant son haleine , et alla ramasser le papier . Un objet mince et dur en glissa .
Puis , à l'angle de la vitre , apparut un petit papier roulé qui glissa lentement et tomba au pied de la muraille . Alors elle se leva doucement , retenant son haleine , et alla ramasser le papier . Un objet mince et dur en glissa .
psl.
Find geometrically the relation between the sine and cosine of an angle ; and show that cos10 + 3 cos20 sin30 + 2 sin10 = 1 + sin30 . 2. Show that in any triangle ( a ) a = b cos C + c cos B. b sin C a - b cos с ( b ) tan B = 3.
Find geometrically the relation between the sine and cosine of an angle ; and show that cos10 + 3 cos20 sin30 + 2 sin10 = 1 + sin30 . 2. Show that in any triangle ( a ) a = b cos C + c cos B. b sin C a - b cos с ( b ) tan B = 3.
psl.
... at infinity is the external point of bisection of a line segment . Explain whether the external bisector of an angle contains the same idea as is found in statement ( b ) . in geometry , and illustrate by deducing four other theorems.
... at infinity is the external point of bisection of a line segment . Explain whether the external bisector of an angle contains the same idea as is found in statement ( b ) . in geometry , and illustrate by deducing four other theorems.
psl.
( a ) The sides of a parallelogram are 4 in . and 6 in . and the angle between them is 36 ° 52 ' . Find its area and the length of the diagonals . ( b ) Prove ( 1 ) sin 70 ° -sin 10 ° -cos 140 ° . ( 2 ) cos - 1 2 / √5 + tan - 11 / + ...
( a ) The sides of a parallelogram are 4 in . and 6 in . and the angle between them is 36 ° 52 ' . Find its area and the length of the diagonals . ( b ) Prove ( 1 ) sin 70 ° -sin 10 ° -cos 140 ° . ( 2 ) cos - 1 2 / √5 + tan - 11 / + ...
psl.
( b ) What is the relation between the face and dihedral angles of reciprocal corners ? ( c ) Employ Euler's theorem to find the number of corners on a polyhedron composed of 8 rectangles and 16 triangles .
( b ) What is the relation between the face and dihedral angles of reciprocal corners ? ( c ) Employ Euler's theorem to find the number of corners on a polyhedron composed of 8 rectangles and 16 triangles .
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Bibliografinė informacija
| Pavadinimas | Examination Papers |
| Autorius | Queen's University (Kingston, Ont.) |
| Išleista | 1914 |
| Originalas iš | Harvardo universitetas |
| Pakeista skaitmenine forma | 31 gegužės 2007 |
| Eksportuoti šaltinį | BiBTeX EndNote RefMan |