## 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

... 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

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**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

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**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

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**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.

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 ...### Other editions - View all

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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