## Class lessons on Euclid1882 |

### From inside the book

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Page 12

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**produced**ever so far both ways do not meet . NOTE . The parts of the circle enumerated in defs . 17 , 18 , 19 , are not referred to afterwards in Book I. , and the figures defined in Nos . 31 , 32 , 33 , are spoken of generally as ... Page 13

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**produced**, shall at length meet upon that side on which are the angles which are together less than two right angles . ' THE AXIOMS . We next have a list of nine axioms , in the original kowal Evvoial , common notions , statements of ... Page 17

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**produced**to any length , ' fails to help us , for the same reason . We have remaining the third postulate , which assumes that ' a circle may be described from any centre at any distance from that centre . ' Let us refer to the ... Page 19

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**produce**its sides DA and DB through the circle already drawn to any points E and F. This gives the key to the solution , which we ought to be able to complete . D The lines DF and DE are each divided into three parts ; what do we know ... Page 20

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**Produce**DB to meet it in G. With radius DG draw circle GKL ,**produce**DA to meet it in L. Proof- DL = DG ( def . 15 ) . DA = DB ( def . 24 ) . .. remainder AL = BG = BC ( ax . 3 , def . 15 ) . Proposition III . is also a problem , ' From ...### Other editions - View all

### Common terms and phrases

&c.-Q.E.D. PROPOSITION ABCD alternate angles angle ABC angle ACB angles are equal angles equal base BC bisected Cheaper Edition circle cons construction Demy 8vo diameter enunciation equal bases equal in area equal sides equal triangles equilateral triangle Euclid exterior Fcap Frontispiece given angle given line given point given straight line given triangle gnomon gram half the line Illustrations interior and opposite interior angles isosceles triangle Join line equal meet opposite angles opposite sides parallelogram perpendicular Poems problem produced proof Prop rectangle contained rhombus right angles right-angled triangle Second Edition sides equal Small crown 8vo square on AC square on half SUMMARY OF PROPOSITION THEOREM Third Edition Translated triangle ABC triangles are equal twice the rect twice the rectangle vertical angle vols Wherefore whole line

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