## 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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**less**verbose , it will not be found that the chain of proof has been in any case weakened . Considerable pains have been taken to distinguish the various parts of the propositions by the adoption of differences in the type ; and the ... Page 2

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**less**and**less**until the idea of the line presented itself to his mind as only possessing length , but devoid of breadth and thickness . Such , then , being the process by which the mind arrives at the true idea which such words as point ... Page 3

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**less**than two right angles ; so that if two lines were situated as in the margin , he would find it difficult to regard the angle which they formed as being that which is shaded , and would probably only be able to conceive it as the ... Page 4

Eucleides. 11. AN ACUTE ANGLE is an angle which is

Eucleides. 11. AN ACUTE ANGLE is an angle which is

**less**than a right angle . 12. A PLANE FIGURE is a plane surface which is bounded on all sides by one or more lines . SCHOLIUM . The bounding line of a plane figure is termed its ... Page 6

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**less**than two right angles , it is termed a salient angle , as the angle E ; but when greater , it is termed a reëntrant angle , as the internal angle at F. If any side is produced , the angle which its pro- duction makes with the ...### 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