Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα v
... on each step . After a Book has been read in this way the pupil should review the Book , and should be required to draw the figures free - hand . He should state and prove the propositions orally , using a PREFACE . V.
... on each step . After a Book has been read in this way the pupil should review the Book , and should be required to draw the figures free - hand . He should state and prove the propositions orally , using a PREFACE . V.
Σελίδα 15
... prove LOCA + Z OCB = 2 rt . 4 , § 34 ( being sup . - adj . 4 ) . LOCA + ZACP2 rt . 4 , $ 34 ( being sup . - adj . ) . Ax . 1 . .. LOCA + ZOC B = LOCA + ZACP . Take away from each of these equals the common ≤ O C A. Then LOCB = LACP ...
... prove LOCA + Z OCB = 2 rt . 4 , § 34 ( being sup . - adj . 4 ) . LOCA + ZACP2 rt . 4 , $ 34 ( being sup . - adj . ) . Ax . 1 . .. LOCA + ZOC B = LOCA + ZACP . Take away from each of these equals the common ≤ O C A. Then LOCB = LACP ...
Σελίδα 16
... prove A C and C B in the same straight line . Suppose C F to be in the same straight line with A C. Then But ZOCA + Z OCF 2 rt . s . = ( being sup . - adj . ) . LOCA + ZOCB § 34 = 2 rt . s . Hyp . Ax . 1 . :: LOCA + ZOCF = ZOCA + Z OC B ...
... prove A C and C B in the same straight line . Suppose C F to be in the same straight line with A C. Then But ZOCA + Z OCF 2 rt . s . = ( being sup . - adj . ) . LOCA + ZOCB § 34 = 2 rt . s . Hyp . Ax . 1 . :: LOCA + ZOCF = ZOCA + Z OC B ...
Σελίδα 17
... prove CO < any other line drawn from C to A B , as C F. Produce CO to E , making O E = CO . Draw EF . On A B as an axis , fold over OCF until it comes into the plane of O E F. The line OC will take the direction of O E , ( since ≤ CO F ...
... prove CO < any other line drawn from C to A B , as C F. Produce CO to E , making O E = CO . Draw EF . On A B as an axis , fold over OCF until it comes into the plane of O E F. The line OC will take the direction of O E , ( since ≤ CO F ...
Σελίδα 18
... prove CA CO . Fold over C FA , on CF as an axis , until it comes into the plane of CF 0 . FA will take the direction of FO , ( since CFA = CFO , each being a rt . 2 ) . Point A will fall upon point 0 , ( FA = FO , by hyp . ) . ... line ...
... prove CA CO . Fold over C FA , on CF as an axis , until it comes into the plane of CF 0 . FA will take the direction of FO , ( since CFA = CFO , each being a rt . 2 ) . Point A will fall upon point 0 , ( FA = FO , by hyp . ) . ... line ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC vertex vertices Wentworth