Elementary Geometry ... |
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Side 57
... Shew that the angles of an equiangular triangle are equal to two - thirds of a right angle . 6. Find the magnitude ... Shew that three regular hexagons can be placed so as to have a common point , and fill up the space round that point ...
... Shew that the angles of an equiangular triangle are equal to two - thirds of a right angle . 6. Find the magnitude ... Shew that three regular hexagons can be placed so as to have a common point , and fill up the space round that point ...
Side 58
... Shew that a trapezium may be divided into a parallelogram and a triangle . 19. The diagonals of any parallelogram will bisect one another . 20. The diagonals of a rhombus will bisect one another at right angles . 21. If two straight ...
... Shew that a trapezium may be divided into a parallelogram and a triangle . 19. The diagonals of any parallelogram will bisect one another . 20. The diagonals of a rhombus will bisect one another at right angles . 21. If two straight ...
Side 94
... shew the modifications which the theorem undergoes when the triangle is not right - angled . THEOREM IO . In an obtuse - angled triangle the square on the side sub- tending the obtuse angle is greater than the squares on the sides ...
... shew the modifications which the theorem undergoes when the triangle is not right - angled . THEOREM IO . In an obtuse - angled triangle the square on the side sub- tending the obtuse angle is greater than the squares on the sides ...
Side 97
... Shew that the triangles EBC , EDC will be equivalent . 9. ABCD is a parallelogram , and O any point within it , shew that the triangles OAB , OCD are together equiva- lent to half the parallelogram . IO . On the same supposition if ...
... Shew that the triangles EBC , EDC will be equivalent . 9. ABCD is a parallelogram , and O any point within it , shew that the triangles OAB , OCD are together equiva- lent to half the parallelogram . IO . On the same supposition if ...
Side 98
... Shew that the sum of the squares on the lines joining the angular points of a square to any point within it is double of the sum of the squares on the perpendiculars from that point on the sides . 14. If the sides of a quadrilateral ...
... Shew that the sum of the squares on the lines joining the angular points of a square to any point within it is double of the sum of the squares on the perpendiculars from that point on the sides . 14. If the sides of a quadrilateral ...
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AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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