Each clue is a Latin phrase as it might be interpreted by someone who doesn't really know any Latin.
One who doesn't say "thank you" | PERSONANONGRATA |
Rental company that's hard to find | RARAAVIS |
Wagon that attracts things | MAGNACARTA |
Lament from "On the Waterfront" | NOLOCONTENDERE |
Fishing holiday | CARPEDIEM |
Poem about one's foibles | VICEVERSA |
Warning when you're almost out of gas | CAVEATEMPTOR |
Why everyone hears when spring ends | SUMMACUMLAUDE |
Between SDTV and HDTV | INMEDIASRES |
Why thinkers become accountants | COGITOERGOSUM |
Italian gaming convention | PAXROMANA |
Druopta Efekta, e.g. | CAMERAOBSCURA |
Where the cause of some teenage grief lies | INLOCOPARENTIS |
Former place of worship | EXCATHEDRA |
Crucial course material | CURRICULUMVITAE |
Like fans of U2 concerts | PROBONOPUBLICO |
A really, really long commercial break | ADINFINITUM |
Two, three, or five on a die | PRIMAFACIE |
Opposite of a lax tenon | RIGORMORTIS |
How one sits | APOSTERIORI |
Like an unfinished clock tower | ANTEBELLUM |
Al Qaeda's legal team, e.g. | TERRAFIRMA |
Result of starting a sit-up regimen | ABINITIO |
What non-amateurs get paid | PRORATA |
Solution to: x2 + cos2(0) = 1 | SINEQUANON |
To pursue a non-specific lawsuit | SUIGENERIS |
The result of further radiological dumping | MUTATISMUTANDIS |
"The Pony Express began in April 1860," e.g. | EXPOSTFACTO |
The indicated blanks in order spell NICODEMUS GOSPEL ON CORE FITNESS. The Gospel of Nicodemus does not contain anything about the Pilates fitness system, but it does contain a text known as the ACTA PILATI, which is the answer.