
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the polar coordinate system, given the curve $C$: $ρ=2\cos θ$, translate the points on the curve $C$ one unit to the left, then stretch the horizontal coordinate to twice its original length while keeping the vertical coordinate unchanged to obtain the curve $C_{1}$. Also given the line $l$: $ \begin{cases} x=t\cos \frac {π}{3} \\ y= \sqrt {3}+t\sin \frac {π}{3}\end{cases}(t\text{ is a parameter})$, and the line $l$ intersects with the curve $C_{1}$ at points $A$ and $B$.
(1) Find the rectangular coordinate equation of the curve $C_{1}$, and identify the type of curve it is;
(2) Define point $P(0, \sqrt {3})$, find $\frac {1}{|PA|}+ \frac {1}{|PB|}$.

Present the answer in LaTex format: \boxed{Your answer}
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