The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 12
... divided into two classes , problems and theorems . In a problem , it is required to show how a figure , having * It may seem almost trifling to introduce such simple considerations as these so elaborately ; but I have known persons who ...
... divided into two classes , problems and theorems . In a problem , it is required to show how a figure , having * It may seem almost trifling to introduce such simple considerations as these so elaborately ; but I have known persons who ...
Page 40
... . Therefore , in the As DBF and E BF , the / s DBF and E B F are equal . But the which the s D B F and E B F are the parts into D BE is divided by the line B F. It has been proved , therefore , that the line 40 THE FIRST BOOK OF EUCLID.
... . Therefore , in the As DBF and E BF , the / s DBF and E B F are equal . But the which the s D B F and E B F are the parts into D BE is divided by the line B F. It has been proved , therefore , that the line 40 THE FIRST BOOK OF EUCLID.
Page 41
... divided into 4 , 8 , 16 , or ( generally ) 2 ′′ equal parts . It is impossible by ordinary geometry to divide an into three equal parts , or into any number of equal parts which is a multiple or power of three , with the exception of a ...
... divided into 4 , 8 , 16 , or ( generally ) 2 ′′ equal parts . It is impossible by ordinary geometry to divide an into three equal parts , or into any number of equal parts which is a multiple or power of three , with the exception of a ...
Page 42
... divided into two equal parts by the line C D. Thus two sides and the included of the one equal respectively to two sides and the included the other A. are of These As , therefore , are equal in every other re- spect . ( Prop . IV ...
... divided into two equal parts by the line C D. Thus two sides and the included of the one equal respectively to two sides and the included the other A. are of These As , therefore , are equal in every other re- spect . ( Prop . IV ...
Page 43
... divided at D into two equal parts . PROPOSITION XI . To draw a straight line at right angles * to a given straight line from a given point in the same . To make the construction we must be able , - 1. To join two given points by a ...
... divided at D into two equal parts . PROPOSITION XI . To draw a straight line at right angles * to a given straight line from a given point in the same . To make the construction we must be able , - 1. To join two given points by a ...
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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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