Vocabulary notes

even though	навіть якщо
more generally	у більш загальному розумінні
are nothing but	є нічим іншим, як
with respect to	відносно, у відношенні
by definition	за визначенням
in general	взагалі

Read, translate and remember the following definitions

A theorem is a statement of a geometrical truth which has to be proved from facts already proved or assumed.

We usually distinguish the following of the theorem:

1.the General Enunciation – this states in general terms the truth which has to be proved.

2. the Particular Enunciation – this restates with reference to a particular figure the truth which has to be proved. It has two parts:

a. a statement of what is given and

b. a statement of what has to be proved;

3. the Construction – this states any lines or figures which are required for the proof;

4.the Proof – this proves the truth by facts already established or assumed.