Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 28
... half that of the base . 23 . Converse of 22 . 24. The lines which join the middle points of the sides of any quadrilateral figure form a parallelogram : and the perimeter of this parallelogram is equal to the sum of the diagonals of the ...
... half that of the base . 23 . Converse of 22 . 24. The lines which join the middle points of the sides of any quadrilateral figure form a parallelogram : and the perimeter of this parallelogram is equal to the sum of the diagonals of the ...
Σελίδα 29
... straight line . With centre A and distance greater than half AB describe a circumference ; with centre B and same distance describe a circumference . These circumferences must intersect in two points as CONSTRUCTIONS. ...
... straight line . With centre A and distance greater than half AB describe a circumference ; with centre B and same distance describe a circumference . These circumferences must intersect in two points as CONSTRUCTIONS. ...
Σελίδα 49
... the same arc , are equal . Ꭰ B E For each is half of the angle at the centre . Thus ACB ADB = AEB . = THEOREM XV . If the whole circumference be divided into 4 THE CIRCLE . 49 it by AOB, to distinguish it from the angle ...
... the same arc , are equal . Ꭰ B E For each is half of the angle at the centre . Thus ACB ADB = AEB . = THEOREM XV . If the whole circumference be divided into 4 THE CIRCLE . 49 it by AOB, to distinguish it from the angle ...
Σελίδα 53
... half the sum of the angles subtended at the centre by the arcs which they intercept . 13. If the two chords intersect without the circle , to what is the angle contained between them equal ? 14. ABC is a triangle , and B is greater THE ...
... half the sum of the angles subtended at the centre by the arcs which they intercept . 13. If the two chords intersect without the circle , to what is the angle contained between them equal ? 14. ABC is a triangle , and B is greater THE ...
Σελίδα 54
... half the sum of B and C , and DBC to half their difference . = 15. The lines joining the extremities of two diameters are parallel . 16. If triangles be formed by joining the extremities of intersecting chords , these triangles are ...
... half the sum of B and C , and DBC to half their difference . = 15. The lines joining the extremities of two diameters are parallel . 16. If triangles be formed by joining the extremities of intersecting chords , these triangles are ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide duplicate ratio Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to BC parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student subtend tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex