The first and second books of Euclid explained to beginners, by C.P. Mason |
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Page 11
... lines , AB and CD , of equal length , and that it is requisite for any pur- pose that the one should be supposed to lie upon the other . We may say , " Place the point A upon the point C , and let the line A B lie along the line CD ...
... lines , AB and CD , of equal length , and that it is requisite for any pur- pose that the one should be supposed to lie upon the other . We may say , " Place the point A upon the point C , and let the line A B lie along the line CD ...
Page 20
... line and the given point are in different relative positions . By attending to the general directions , all ... CD be the two given straight lines , of which A B is the greater . E A B From the point A draw the straight line AE ...
... line and the given point are in different relative positions . By attending to the general directions , all ... CD be the two given straight lines , of which A B is the greater . E A B From the point A draw the straight line AE ...
Page 21
... CD are equal , A F and CD are both equal to A E. ( Ax . I. ) Therefore A F and CD are equal to one another ; or , in ... line A E to be a line obtained as the result of all the operations there indicated . Without going through the ...
... CD are equal , A F and CD are both equal to A E. ( Ax . I. ) Therefore A F and CD are equal to one another ; or , in ... line A E to be a line obtained as the result of all the operations there indicated . Without going through the ...
Page 33
... C D other extremity of the base , could not also be equal to each other ; or if BC and BD were equal , then AC and ... line from one given point to another . ( Post . I. ) 2. To produce a given finite right line to any length ...
... C D other extremity of the base , could not also be equal to each other ; or if BC and BD were equal , then AC and ... line from one given point to another . ( Post . I. ) 2. To produce a given finite right line to any length ...
Page 34
Euclid, Charles Peter Mason. C D opposite to them are also equal , and ... line C D. In the A A C D , if A C and A D be equal to one another , the AUD ... CD ( being a part of it ) . Therefore the B C D must also be less than the ...
Euclid, Charles Peter Mason. C D opposite to them are also equal , and ... line C D. In the A A C D , if A C and A D be equal to one another , the AUD ... CD ( being a part of it ) . Therefore the B C D must also be less than 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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