## The elements of Euclid, [books I.-VI. XI. XII.] with many additional propositions, and explanatory notes. To which is prefixed an introductory essay on logicJ. Weale, 1853 |

### From inside the book

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**parallelogram**belongs is that of quadrilateral figures , and the differentia or peculiar property which distinguishes a**parallelogram**from every other quadri- lateral figure is , that its opposite sides are parallel . In the defi ... Page xi

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**parallelogram**; " an hypothetical proposition may be either conditional , that is , when the assertion is made under a condition , as , " If a triangle is equilateral , it is equiangular , " or disjunctive ; that is , when the assertion ... Page xvi

Eucleides. [ Major Premiss ] Every ( square ) Is a

Eucleides. [ Major Premiss ] Every ( square ) Is a

**parallelogram**. Minor Premiss ] Every ( square ) Is an equilateral figure , therefore [ Conclusion ] Some equilateral figures ARE**parallelograms**. In the fourth figure the middle term is ... Page xvii

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**parallelogram**; rap Every ( square ) is an equilateral figure ; ti therefore ; Some equilateral figures ARE**parallelograms**. Bram Every triangle Is a ( plane figure ) ; an Every ( plane figure ) is bounded by lines ; tip therefore ... Page xix

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**parallelograms**( ABCD and EFGH ) are upon equal bases and between the same parallels , CONSEQUENCE . They are equal to one another in area . CONSTRUCTION . - Draw BE and CH . DEMONSTRATION . Syllogism 1 . Da ( Things which are ...### Other editions - View all

The Elements of Euclid with Many Additional Propositions and Explanatory Notes Henry Law,Eucleides No preview available - 2016 |

### Common terms and phrases

ABCD AC and CB AC is equal angle ABC angle BCD angle equal area to double area to twice bisect CB is equal chord circle ABC circumference Constr CONSTRUCTION COROLLARY DEMONSTRATION diagonal divided double the rectangle draw equal angles equal in area equal to AC Euclid external angle Find the center finite straight line Geometry given angle given line greater Henry Law Hypoth HYPOTHESES intersect join less line BC lines be drawn magnitude major premiss parallel parallelogram perpendicular predicate produced proposition quadratic equation reductio ad absurdum right angles SCHOLIA SCHOLIUM second power segment sides AC sides are equal square on AC square on half squares on AB syllogism termed THEOREM THEOREM.-If triangle ABC twice the rectangle twice the square whole line