
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
Given that the origin of the rectangular coordinate system is the pole, the non-negative semi-axis of the $x$-axis is the polar axis, and the same length unit is taken in the two coordinate systems. The parametric equations of line $l$ are $\begin{cases} x=1+ \frac {1}{2}t \\ y= \frac { \sqrt {3}}{2}t\end{cases}$ $(t$ is the parameter$)$, and the polar coordinate equation of curve $C$ is $(1+\sin ^{2}θ)ρ^{2}=2$.
(1) Write the ordinary equation of line $l$ and the rectangular coordinate equation of curve $C$;
(2) Suppose line $l$ intersects curve $C$ at points $A$ and $B$, and point $P$ is $(1,0)$. Find $\frac {1}{|AP|^{2}}+ \frac {1}{|BP|^{2}}$.

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