The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 3
... and any angle formed by them would remain just the same in size if half the legs were broken off . Def . D. Two angles are equal when they admit of being placed one upon the other , so that the EXPLAINED TO BEGINNERS . 3.
... and any angle formed by them would remain just the same in size if half the legs were broken off . Def . D. Two angles are equal when they admit of being placed one upon the other , so that the EXPLAINED TO BEGINNERS . 3.
Page 4
Euclid, Charles Peter Mason. being placed one upon the other , so that the point of the one angle coincides with the point of the other , and the lines that form the one angle coincide in direction with the lines that form the other ...
Euclid, Charles Peter Mason. being placed one upon the other , so that the point of the one angle coincides with the point of the other , and the lines that form the one angle coincide in direction with the lines that form the other ...
Page 8
... placed one on the other as to coincide with each other in direction , and cannot diverge from one another if they coincide for any portion of their length . ‡ XII . If two straight lines meet a third , and make the two interior angles ...
... placed one on the other as to coincide with each other in direction , and cannot diverge from one another if they coincide for any portion of their length . ‡ XII . If two straight lines meet a third , and make the two interior angles ...
Page 9
... placed at the point of intersection of the lines which form it , or by three letters , one at the point of intersection of the lines forming it , the others at some point of these two lines respectively . * In reading these three ...
... placed at the point of intersection of the lines which form it , or by three letters , one at the point of intersection of the lines forming it , the others at some point of these two lines respectively . * In reading these three ...
Page 11
... placed upon the point C , and the point B upon the point D , " or anything equivalent to this , because that would imply , that , after we have fixed the position of the point A , and the direction of the line AB , we can then make the ...
... placed upon the point C , and the point B upon the point D , " or anything equivalent to this , because that would imply , that , after we have fixed the position of the point A , and the direction of the line AB , we can then make the ...
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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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