The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page vii
... angle may be formed independently of all idea of motion or revolu- tion ; just as it would be unnecessary ( not to say incorrect ) to define a line as produced by the motion of a point . In fact it is a mistake to say that the motion of ...
... angle may be formed independently of all idea of motion or revolu- tion ; just as it would be unnecessary ( not to say incorrect ) to define a line as produced by the motion of a point . In fact it is a mistake to say that the motion of ...
Page 3
... angle is the opening formed between two straight lines which meet . It is also defined sometimes to be the inclination of one straight line to another . Beginners often find difficulty in properly understanding the nature of angular ...
... angle is the opening formed between two straight lines which meet . It is also defined sometimes to be the inclination of one straight line to another . Beginners often find difficulty in properly understanding the nature of angular ...
Page 4
... angle , from the point where they meet , so as to form with either of them an angle equal to the second angle . Def . X. When one straight line meets another , and makes the adjacent angles equal to each other , each of those angles is ...
... angle , from the point where they meet , so as to form with either of them an angle equal to the second angle . Def . X. When one straight line meets another , and makes the adjacent angles equal to each other , each of those angles is ...
Page 5
... angles is a right angle . That side of a right - angled triangle which is opposite to the right angle , is called the hypotenuse . Def . XXVIII . An obtuse - angled triangle is a triangle one of whose angles is obtuse . Def . XXIX . An ...
... angles is a right angle . That side of a right - angled triangle which is opposite to the right angle , is called the hypotenuse . Def . XXVIII . An obtuse - angled triangle is a triangle one of whose angles is obtuse . Def . XXIX . An ...
Page 6
... angles right angles . ) Def . XXXIII . A rhombus is a parallelogram which has all its sides equal , but its angles not right angles . Def . XXXIV . A trapezium is a four - sided figure , which has two of its sides parallel . POSTULATES ...
... angles right angles . ) Def . XXXIII . A rhombus is a parallelogram which has all its sides equal , but its angles not right angles . Def . XXXIV . A trapezium is a four - sided figure , which has two of its sides parallel . POSTULATES ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides No preview available - 2016 |
Common terms and phrases
A B and CD A B is equal A C and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed given finite right given line given point given rectilineal given straight line gnomon greater half a right hypotenuse interior and opposite isosceles Join the points join two given Jugurtha Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal
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