Specimen Page of Varley’s Euclid. 
BOOK I. : ll 
PROPOSITION I.—PROBLEM. 
General To describe an equilateral Ene on a given finite 
Enunciation, cf) ‘aight line. 
Specific 
Enunciation: 
a. Whatis Let AB be the given finite straight line. 
given, | 
b. What we It is required to describe an equilateral triangle on 
want todo. AB. 
How to do it, From the centre A at the distance AB describe a 
circle BCD. Post: 3. 
From the centre B at the distance BA describe a 
circle ACE. Posteo: 
From the point C where the circles cut one another, 
draw straight lmes CA, CB to the points A and B. 
Post. 1. 
Then ABC shall be the equilateral triangle requared. 
~ a 
eh ee et 
wees tore 
PX 5 

Proof, Because A is the centre of the circle BCD, AC 
is equal to AB. Def. 15. 
Because B is the centre of the circle ACE, BC is 
equal to AB. = Dery, 
Therefore AC and BC are each equal to AB. 
Therefore AC, BC, and AB are all equal. 4z. 1. 
Therefore ABC 1s the equilateral triangle required. 
