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Side 5
... 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 between its extreme points . ' 5. A superficies or ...
... 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 between its extreme points . ' 5. A superficies or ...
Side 6
... A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that ... point ( def . 3 ) which obviously has no size or magnitude ( def . 1 ) . To these definitions an objection is ...
... A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that ... point ( def . 3 ) which obviously has no size or magnitude ( def . 1 ) . To these definitions an objection is ...
Side 7
... point at which any two edges meet at all , and it consequently cannot be said to have any size whatever . We must then admit that these definitions give ... a point indicates position ; a line , distance from one point to another ; a surface ...
... point at which any two edges meet at all , and it consequently cannot be said to have any size whatever . We must then admit that these definitions give ... a point indicates position ; a line , distance from one point to another ; a surface ...
Side 16
... a propo- sition are named from the letters of the alphabet taken con- secutively . A line is usually named by two letters placed at its extremities , thus the line AB ab , an angle by three , placing the letter at the angular point in ...
... a propo- sition are named from the letters of the alphabet taken con- secutively . A line is usually named by two letters placed at its extremities , thus the line AB ab , an angle by three , placing the letter at the angular point in ...
Side 17
Marianne Nops. required to describe an equilateral triangle on a given finite ... point to any other . ' Will this help us here ? No ; it affords no means of ... point ( the centre ) within the figure to the circumference are equal ...
Marianne Nops. required to describe an equilateral triangle on a given finite ... point to any other . ' Will this help us here ? No ; it affords no means of ... point ( the centre ) within the figure to the circumference are equal ...
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Vanlige uttrykk og setninger
&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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