Class lessons on Euclid1882 |
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Side 2
... called ' The Elements of Euclid . ' It is divided into thirteen books , containing the principles of geometry laid down by Pythagoras , Thales , and other philosophers , collected , systematically arranged , and further developed . To ...
... called ' The Elements of Euclid . ' It is divided into thirteen books , containing the principles of geometry laid down by Pythagoras , Thales , and other philosophers , collected , systematically arranged , and further developed . To ...
Side 8
... called obtuse ( Lat . obtusus , blunted ) angles , smaller than a right angle , called acute ( Lat . acutus , sharp ) . These are thus defined by Euclid : - 6 10. When a straight line standing on another straight line makes the adjacent ...
... called obtuse ( Lat . obtusus , blunted ) angles , smaller than a right angle , called acute ( Lat . acutus , sharp ) . These are thus defined by Euclid : - 6 10. When a straight line standing on another straight line makes the adjacent ...
Side 9
... ( called from its shape an arc , Lat . arcus ) , which it cuts off . ' 19. A segment of a circle is the figure contained by a straight line ( called a chord ) and the circumference which it cuts off . ' A semicircle is of course a segment ...
... ( called from its shape an arc , Lat . arcus ) , which it cuts off . ' 19. A segment of a circle is the figure contained by a straight line ( called a chord ) and the circumference which it cuts off . ' A semicircle is of course a segment ...
Side 11
... 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 defined by ...
... 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 defined by ...
Side 12
... called trapeziums . ' OF PARALLELS . 35. ' 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 ...
... called trapeziums . ' OF PARALLELS . 35. ' 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 ...
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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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