Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 4
... viz . AEC to DEB , and AED to BEC . For and also Therefore Therefore AEC + AED = 2R , AED + DEB = 2R . AEC + AED = AED + DEB . AEC DEB . = Similarly , AED - BEC . THEOREM III . Any straight line AB is less than 4 ELEMENTARY GEOMETRY .
... viz . AEC to DEB , and AED to BEC . For and also Therefore Therefore AEC + AED = 2R , AED + DEB = 2R . AEC + AED = AED + DEB . AEC DEB . = Similarly , AED - BEC . THEOREM III . Any straight line AB is less than 4 ELEMENTARY GEOMETRY .
Σελίδα 5
... them . 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.
... them . 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 6
E. M. Reynolds. COR . Similarly , it may be shewn that any convex broken F D E G A line ACDEB 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 D ...
E. M. Reynolds. COR . Similarly , it may be shewn that any convex broken F D E G A line ACDEB 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 D ...
Σελίδα 8
... Similarly Again ( 2 ) = ( IV ) . ( I ) + ( 2 ) = ( 1 ) + ( 2 ) = 2R . Similarly ( 3 ) + ( IV ) = 2R Q. ELEMENTARY GEOMETRY .
... Similarly Again ( 2 ) = ( IV ) . ( I ) + ( 2 ) = ( 1 ) + ( 2 ) = 2R . Similarly ( 3 ) + ( IV ) = 2R Q. ELEMENTARY GEOMETRY .
Σελίδα 9
E. M. Reynolds. Similarly ( 3 ) + ( IV ) = 2R . The angles ( 1 ) and ( I ) are called exterior and interior angles . The angles ( 3 ) and ( I ) are called alternate angles . The angles ( 2 ) and ( I ) are called interior angles on the ...
E. M. Reynolds. Similarly ( 3 ) + ( IV ) = 2R . The angles ( 1 ) and ( I ) are called exterior and interior angles . The angles ( 3 ) and ( I ) are called alternate angles . The angles ( 2 ) and ( I ) are called interior angles on the ...
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