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... THEORY OF PARALLEL STRAIGHT LINES - PROPOSITIONS 27-29 . XIII . PROPOSITIONS 30-31 - ANALYSIS OF THE THEORY OF PARALLEL STRAIGHT LINES - PROPOSITION 32 AND COROLLARIES . 65 75 LECTURE PAGE XIV . THE PARALLELOGRAM - PROPOSITIONS 33-34 .
... THEORY OF PARALLEL STRAIGHT LINES - PROPOSITIONS 27-29 . XIII . PROPOSITIONS 30-31 - ANALYSIS OF THE THEORY OF PARALLEL STRAIGHT LINES - PROPOSITION 32 AND COROLLARIES . 65 75 LECTURE PAGE XIV . THE PARALLELOGRAM - PROPOSITIONS 33-34 .
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Marianne Nops. LECTURE PAGE XIV . THE PARALLELOGRAM - PROPOSITIONS 33-34 . XV . ON EQUIVALENCE OF AREA - PROPOSITIONS 35-41 . XVI . PROPOSITIONS 42-45 . XVII . THE SQUARE - PROPOSITIONS 46-48 - ANALYSIS OF THE THIRD SECTION OF BOOK I ...
Marianne Nops. LECTURE PAGE XIV . THE PARALLELOGRAM - PROPOSITIONS 33-34 . XV . ON EQUIVALENCE OF AREA - PROPOSITIONS 35-41 . XVI . PROPOSITIONS 42-45 . XVII . THE SQUARE - PROPOSITIONS 46-48 - ANALYSIS OF THE THIRD SECTION OF BOOK I ...
Page 11
... parallelograms , and irregular figures , called trapeziums ( tables ) . The line joining the opposite angles of any quadrilateral is called a diameter , or diagonal . Parallelograms are of four kinds , which are thus defined by Euclid ...
... parallelograms , and irregular figures , called trapeziums ( tables ) . The line joining the opposite angles of any quadrilateral is called a diameter , or diagonal . Parallelograms are of four kinds , which are thus defined by Euclid ...
Page 12
... parallelograms . THE POSTULATES . The postulates , in the original airhuara , requests or peti- tions , as the word is translated in the old editions of Euclid , come next . In the first three Euclid asks : - to 1. ' That a straight ...
... parallelograms . THE POSTULATES . The postulates , in the original airhuara , requests or peti- tions , as the word is translated in the old editions of Euclid , come next . In the first three Euclid asks : - to 1. ' That a straight ...
Page 15
... parallelograms . ( 3 ) The laws which determine equivalence or equality of area in rectilineal figures . These subjects Euclid discusses in forty - eight propositions ( πpóraσes ) , which are of two kinds , ( 1 ) problems in which he ...
... parallelograms . ( 3 ) The laws which determine equivalence or equality of area in rectilineal figures . These subjects Euclid discusses in forty - eight propositions ( πpóraσes ) , which are of two kinds , ( 1 ) problems in which he ...
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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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