Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 3
... 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 An obtuse angle is greater than a right angle. ...
... 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 An obtuse angle is greater than a right angle. ...
Σελίδα 5
... Produce AC to meet DB in E. E Then CB CE + EB . Therefore AC + CB AE + EB . Again , AE < AD + DE . Therefore AE + EB AD + DB . Much more then AC + CB < AD + DB . COR . Similarly , it may be shewn that any THE STRAIGHT LINE . 10.
... Produce AC to meet DB in E. E Then CB CE + EB . Therefore AC + CB AE + EB . Again , AE < AD + DE . Therefore AE + EB AD + DB . Much more then AC + CB < AD + DB . COR . Similarly , it may be shewn that any THE STRAIGHT LINE . 10.
Σελίδα 8
... produced ever so far both ways do not meet . If a straight line EF cut the two straight lines AB , CD , it makes with either of them four angles which we will denote by ( 1 ) , ( 2 ) , ( 3 ) , ( 4 ) ; ( I ) , ( II ) , ( III ) , ( IV ) ...
... produced ever so far both ways do not meet . If a straight line EF cut the two straight lines AB , CD , it makes with either of them four angles which we will denote by ( 1 ) , ( 2 ) , ( 3 ) , ( 4 ) ; ( I ) , ( II ) , ( III ) , ( IV ) ...
Σελίδα 9
... produced meet towards B and D , HC , GA being produced must meet towards C and A. In which case two straight lines would enclose a space , which is absurd . Therefore AB , CD do not meet either towards B and D , or towards C and A. COR ...
... produced meet towards B and D , HC , GA being produced must meet towards C and A. In which case two straight lines would enclose a space , which is absurd . Therefore AB , CD do not meet either towards B and D , or towards C and A. COR ...
Σελίδα 11
... produced , the ex- terior angle ACD is equal to the two interior and opposite angles A and B ; and the three angles A , B , and C are equal to two right angles . Through C draw CE pa- rallel to BA . N B E Then the alternate angle ACE ...
... produced , the ex- terior angle ACD is equal to the two interior and opposite angles A and B ; and the three angles A , B , and C are equal to two right angles . Through C draw CE pa- rallel to BA . N B E Then the alternate angle ACE ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide EDUCATIONAL BOOKS Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equilateral triangle Examples exterior angle Extra fcap Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line Grammar greater Head Master Hence intersect isosceles John's College late Fellow Let ABCD line drawn measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right-angled triangle Schools Second Edition segments Shew shortest line similar triangles square on BC student tangent THEOREM THEOREM VII trapezium triangle ABC vertex