Add spaces: Theyallcontributedtowritingthe'completeworksofEuclid',evencontinuingtowritebooksunderEuclid'snameafterhisdeath.

Answer: They all contributed to writing the 'complete works of Euclid', even continuing to write books under Euclid's name after his death.

Add spaces: DenmarklaunchesanewjournalisticshortcuttoDenmark:DenmarkStayTuned.

Answer: Denmark launches a new journalistic shortcut to Denmark: Denmark Stay Tuned.

Add spaces: ButIdonothesitatetoimplementtheexplanationImyselffindsatisfactoryinordertosatisfyotherpeople'searsasbestIcan,allthemoresobecausethosewhosecareandtrustworthinessIhavetestedduringthecompositionofthiswholeworkandwhomIhavefollowedwillinglydonotdivergefrommyopinion."

Answer:
But I do not hesitate to implement the explanation I myself find satisfactory in order to satisfy other people's ears as best I can, all the more so because those whose care and trustworthiness I have tested during the composition of this whole work and whom I have followed willingly do not diverge from my opinion."