## The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |

### Common terms and phrases

2nd Edition 3rd Edition AB is equal ABC is equal ABCD added angle ABC angle ACB angle AGH angle BAC angle BCD angle equal angle GHD Apply assumed Axiom Axiom 9 base bisects called centre circle circumference coincide common conclusion Constr Construct converse definition demonstration describe diagonal divided double draw Elementary English equal to BD equilateral triangle Euclid exterior angle extremities F. A. Paley fall false Fcap figure four Geometry given point given straight line greater Greek hypothesis impossible interior isosceles triangle Join Latin length less magnitude meet Notes opposite sides parallel parallelogram plane position Postulate PROBLEM produced proposition quadrilateral REQUIRED TO PROVE revised right angles sides equal space square straight line drawn student THEOREM third triangle ABC true unequal whole

### Popular passages

Page 95 - If two triangles have two sides of the one equal to two sides of the...

Page 65 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to each other in a plane, which meet together, but are not in the same direction.

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Page 73 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Page 72 - LET it be granted that a straight line may be drawn from any one point to any other point.

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