Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 3
... less than a right angle . THEOREM I If any straight line CD meet another straight line AB , A D E B .. the angles CDA , CDB are together equal to two right angles . For they fill exactly the same space . Conversely , if three straight ...
... less than a right angle . THEOREM I If any straight line CD meet another straight line AB , A D E B .. the angles CDA , CDB are together equal to two right angles . For they fill exactly the same space . Conversely , if three straight ...
Σελίδα 4
... , and AED to BEC . For and also Therefore Therefore Similarly , AEC + AED = 2R , AED + DEB = 2R . AEC + AED = AED + DEB . AEC DEB . = AED BEC . = THEOREM III . Any straight line AB is less than 4 ELEMENTARY GEOMETRY .
... , and AED to BEC . For and also Therefore Therefore Similarly , AEC + AED = 2R , AED + DEB = 2R . AEC + AED = AED + DEB . AEC DEB . = AED BEC . = THEOREM III . Any straight line AB is less than 4 ELEMENTARY GEOMETRY .
Σελίδα 5
E. M. Reynolds. THEOREM III . Any straight line AB is less than the two straight lines AC , CB which have the same extremities A ... less than two straight lines AD , DB which enclose them . Produce AC to meet DB in E. E Then CB < CE + EB ...
E. M. Reynolds. THEOREM III . Any straight line AB is less than the two straight lines AC , CB which have the same extremities A ... less than two straight lines AD , DB which enclose them . Produce AC to meet DB in E. E Then CB < CE + EB ...
Σελίδα 6
... less than another broken line AFGB by which it is enclosed . THEOREM V. The perpendicular is the shortest line that can be drawn B- FE from a point A to a straight line BC ; and of the others AE which is nearer to the perpendicular is ...
... less than another broken line AFGB by which it is enclosed . THEOREM V. The perpendicular is the shortest line that can be drawn B- FE from a point A to a straight line BC ; and of the others AE which is nearer to the perpendicular is ...
Σελίδα 26
... less than twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of the base . 5. If E be a point within the triangle ABC , the angle BEC is ...
... less than twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of the base . 5. If E be a point within the triangle ABC , the angle BEC is ...
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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