Euclidian Geometry |
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Page 232
... rhombus has all its sides equal , but its angles are not right angles . A rhomboid has its opposite sides equal to each other , but all its sides are not equal nor its angles right angles . A trapezoid is a four - sided figure which has ...
... rhombus has all its sides equal , but its angles are not right angles . A rhomboid has its opposite sides equal to each other , but all its sides are not equal nor its angles right angles . A trapezoid is a four - sided figure which has ...
Page 238
... rhombus is equal to half the rect- angle contained by the 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 ...
... rhombus is equal to half the rect- angle contained by the 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 ...
Page 239
Francis Cuthbertson. 60. Prove that the diagonals of a rhombus bisect one another at right angles . 61. If the opposite angles of a rhombus are together equal to two right angles , the figure is a square . 62. Bisect a triangle by a ...
Francis Cuthbertson. 60. Prove that the diagonals of a rhombus bisect one another at right angles . 61. If the opposite angles of a rhombus are together equal to two right angles , the figure is a square . 62. Bisect a triangle by a ...
Page 255
... rhombus . Can a circle be described about a rhombus ? 5. Describe a parallelogram about a circle , having an angle equal to a given angle . 6. If a parallelogram be described about a circle , it will be equilateral . 7. Determine the ...
... rhombus . Can a circle be described about a rhombus ? 5. Describe a parallelogram about a circle , having an angle equal to a given angle . 6. If a parallelogram be described about a circle , it will be equilateral . 7. Determine the ...
Page 259
... rhombus equal and equiangular to a given parallelogram . 18. Of all equal and equiangular parallelograms shew that the rhombus has the least perimeter . 19. Produce a straight line which is divided into two parts to a point such that ...
... rhombus equal and equiangular to a given parallelogram . 18. Of all equal and equiangular parallelograms shew that the rhombus has the least perimeter . 19. Produce a straight line which is divided into two parts to a point such that ...
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Common terms and phrases
Algebra Arithmetic base BEGINNERS Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle John's College Latin Let ABC line bisecting locus magnitudes Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane PROBLEM produced Professor proportional PROPOSITION radius ratio rect rectangle rectangle contained rectilineal figure regular polygon render respectively revised rhombus right angles Schools Second Edition segment Similarly squares on AC straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares Uppingham School vertex
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Page 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Page 15 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.