
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
Among the following four propositions about conic sections:  
\\(①\\) Let \\(A\\) and \\(B\\) be two fixed points, \\(k\\) be a non-zero constant, \\(| \overrightarrow{PA}|+| \overrightarrow{PB}|=k\\), then the trajectory of the moving point \\(P\\) is an ellipse;  
\\(②\\) Given a fixed point \\(A\\) on a circle \\(C\\) and a moving chord \\(AB\\), with \\(O\\) as the origin of coordinates, if \\( \overrightarrow{OP}= \frac {1}{2}( \overrightarrow{OA}+ \overrightarrow{OB})\\), then the trajectory of the moving point \\(P\\) is a circle;  
\\(③\\) The two roots of the equation \\(\ln ^{2}x-\ln x-2=0\\) can be used as the eccentricities of an ellipse and a hyperbola, respectively;  
\\(④\\) The hyperbola \\( \frac {y^{2}}{9}- \frac {x^{2}}{25}=1\\) and the ellipse \\( \frac {x^{2}}{35}+y^{2}=1\\) have the same foci.  
The numbers of the true propositions are \_\_\_\_\_\_ \\((\\)write down the numbers of all true propositions\\()\\)

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