The First Six Books of the Elements of Euclid: And Propositions I-XXI of Book XI, and an Appendix on the Cylinder, Sphere, Cone, Etc., with Copious Annotations and Numerous ExercisesHodges, Figgis, & Company, 1885 - 312 σελίδες |
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Σελίδα ix
... Parallelograms , Definitions , · • · Propositions 1. - XLVIII . , Questions for Examination , Exercises , · BOOK II . Theory of Rectangles , Definitions , · Propositions 1. - XIV . , Questions for Examination , Exercises , • · PAGE 1 ...
... Parallelograms , Definitions , · • · Propositions 1. - XLVIII . , Questions for Examination , Exercises , · BOOK II . Theory of Rectangles , Definitions , · Propositions 1. - XIV . , Questions for Examination , Exercises , • · PAGE 1 ...
Σελίδα 3
... Parallelogram 29 Parallel lines Perpendicular " " 99 T = In addition to these we shall employ the usual symbols + , - , & c . of Algebra , and also the sign of congruence , namely = . This symbol has been introduced by the illustrious ...
... Parallelogram 29 Parallel lines Perpendicular " " 99 T = In addition to these we shall employ the usual symbols + , - , & c . of Algebra , and also the sign of congruence , namely = . This symbol has been introduced by the illustrious ...
Σελίδα 4
... PARALLELOGRAMS . DEFINITIONS . THE POINT . I. A point is that which has position but not dimen- sions . A geometrical magnitude which has three dimensions , that is , length , breadth , and thickness , is a solid ; that which has two ...
... PARALLELOGRAMS . DEFINITIONS . THE POINT . I. A point is that which has position but not dimen- sions . A geometrical magnitude which has three dimensions , that is , length , breadth , and thickness , is a solid ; that which has two ...
Σελίδα 44
... distance , they are said to be PARALLEL . DEF . II . - A parallelogram is a quadrilateral , both pairs of whose opposite sides are parallel . DEF . m . - The right line joining either 44 [ BOOK I. THE ELEMENTS OF EUCLID .
... distance , they are said to be PARALLEL . DEF . II . - A parallelogram is a quadrilateral , both pairs of whose opposite sides are parallel . DEF . m . - The right line joining either 44 [ BOOK I. THE ELEMENTS OF EUCLID .
Σελίδα 48
... parallelogram , formed by drawing parallels to two sides of an equilateral triangle from any point in the third side , is equal to twice the side . 7. If the opposite sides of a hexagon be equal and parallel , its diagonals are ...
... parallelogram , formed by drawing parallels to two sides of an equilateral triangle from any point in the third side , is equal to twice the side . 7. If the opposite sides of a hexagon be equal and parallel , its diagonals are ...
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ABCD AC is equal AD² adjacent angles angle ABC angle ACB angle BAC angular points Axiom base BC bisector centre chord circles touch circumference circumscribed circle collinear common concurrent lines const cyclic quadrilateral Dem.-Let Dem.-Since diagonals diameter divided draw equal angles equal to AC equiangular equilateral triangle escribed circles Euclid Exercises exterior angle given circle given line given point greater Hence the angle hypotenuse inscribed isosceles triangle less line joining locus manner meet middle points multiple nine-points circle opposite sides parallel parallelogram perpendicular plane points of intersection produced PROP proportional Proposition prove radii radius rectangle contained rectilineal figure regular polygon respectively equal right angles right line segments semicircle sides AC similar square on AC tangent theorem triangle ABC vertex vertical angle