As per your Q i believe u r showing those first 10 snippets in 2 different pages within your site. If that's the case it can never be issue of duplicate content.
In any blog we show 4 or 5 lines summary at main page & remaining on another page when we click on "more option" so main page will also have summary. So go ahead and do it.
In My website we show summary of 1 article in 10 different related community to get better rankings, but till date we have never faced any penalty.
But if u r taking snippets from other site, then u can add Canonical tag to your page pointing to site from where u have copied content. In that case google know that u have copied content from another site.