Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 2
... over four right angles in an hour . All right angles are equal , and the space occupied by two right angles is always the same ; we shall often denote it by 2R . An obtuse angle is greater than a right angle . 2 ELEMENTARY GEOMETRY .
... over four right angles in an hour . All right angles are equal , and the space occupied by two right angles is always the same ; we shall often denote it by 2R . An obtuse angle is greater than a right angle . 2 ELEMENTARY GEOMETRY .
Σελίδα 3
... , Then must AD and DB be in the same straight line . Produce AD to E in the same straight line . Then CDA + CDE = 2R . But Therefore CDA + CDB = 2R ( hypoth . 1-2 THE STRAIGHT LINE . 3 .60 An obtuse angle is greater than a right angle. ...
... , Then must AD and DB be in the same straight line . Produce AD to E in the same straight line . Then CDA + CDE = 2R . But Therefore CDA + CDB = 2R ( hypoth . 1-2 THE STRAIGHT LINE . 3 .60 An obtuse angle is greater than a right angle. ...
Σελίδα 8
... greater AG . For DE can neither be equal to ( Prop . vi ) nor greater than ( Prop . v ) , DG . PARALLELS . A BE D FGC Parallel straight lines are such as being produced ever so far both ways do not meet . If a straight line EF cut the ...
... greater AG . For DE can neither be equal to ( Prop . vi ) nor greater than ( Prop . v ) , DG . PARALLELS . A BE D FGC Parallel straight lines are such as being produced ever so far both ways do not meet . If a straight line EF cut the ...
Σελίδα 12
... greater than either of the interior and opposite angles . THEOREM XI . If in any triangle ABC the side AB be equal to the side AC , then shall the angle C be equal to the angle B. Let AD be the perpendicular drawn from A to BC . Then ...
... greater than either of the interior and opposite angles . THEOREM XI . If in any triangle ABC the side AB be equal to the side AC , then shall the angle C be equal to the angle B. Let AD be the perpendicular drawn from A to BC . Then ...
Σελίδα 13
... greater than the side AC , then shall the angle C be greater than the angle B. Let AD be the perpendicular . Then since AB is greater than AC , it is more remote from the perpen- dicular . A В C D Hence if ADC be turned about AD , C ...
... greater than the side AC , then shall the angle C be greater than the angle B. Let AD be the perpendicular . Then since AB is greater than AC , it is more remote from the perpen- dicular . A В C D Hence if ADC be turned about AD , C ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC BC² bisect BROOKE FOSS WESTCOTT CA² Cambridge centre chord circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide 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 CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex