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... 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 .
... 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 .
Seite 5
... parallel straight lines . OF LINES AND SURFACES . 1. A point is that which has no parts or magnitude . ' " 2. A line is length without breadth . ' 3. The extremities of a line are points . ' 4. A straight line is that which lies evenly ...
... parallel straight lines . OF LINES AND SURFACES . 1. A point is that which has no parts or magnitude . ' " 2. A line is length without breadth . ' 3. The extremities of a line are points . ' 4. A straight line is that which lies evenly ...
Seite 11
... parallel , called 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 ...
... parallel , called 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 ...
Seite 12
... Parallel straight lines are such as are in the same plane , and which being 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 ...
... Parallel straight lines are such as are in the same plane , and which being 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 ...
Seite 15
... parallel straight lines , with the proper- ties of parallelograms . ( 3 ) The laws which determine equivalence or equality of area in rectilineal figures . These subjects Euclid discusses in forty - eight propositions ( πpóraσes ) ...
... parallel straight lines , with the proper- ties of parallelograms . ( 3 ) The laws which determine equivalence or equality of area in rectilineal figures . These subjects Euclid discusses in forty - eight propositions ( πpóraσes ) ...
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&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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