## The first and second books of Euclid explained to beginners, by C.P. Mason |

### From inside the book

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**parallelogram**is a four - sided figure , the opposite sides of which are parallel . Def . H. A rectangle is a**parallelogram**which has all its angles right angles . Def . XXXI . A square is a rectangle which has all its sides equal ... Page 6

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**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 . The figures reasoned about in geometry are mental ... Page 102

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**parallelogram**, that is , suppose it to be a four - sided figure , whose B opposite sides are parallel , and let A D be one of its diagonals . A D We have to prove that the opposite sides are equal : —namely , the side A B to the side ... Page 103

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**parallelogram**into two As which are equal in area . PROPOSITION XXXV .**Parallelograms**upon the same base and between the same parallels are equal to one another . For the proof of this proposition we require to know , - 1. That if ... Page 104

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**parallelograms**may occupy with relation to each other , with this exception , that in applying the ...**parallelogram**, its opposite sides AC and BD are equal . Hence it appears that the two As CAE and DBF have two s of ...### 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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