"The veracity of his statement is doubted." The sentence should be,
"The truth of his statement is doubted," or "In making that statement
his veracity is doubted." Veracity is applied to the person; truth to
the thing.

Try the experiment

"They are trying the experiment of running railroad trains by
electricity." This should be, "They are making the experiment," etc.
The word experiment contains the idea of trial, hence, to try the
experiment is to try the trial.

Little piece

"I will go with you a little piece." A short distance or a part of the
way would be more appropriate.

Every confidence

"I have every confidence in his ability to succeed." Confidence is a
unit; every implies several units considered separately. "I have the
greatest confidence in his ability to succeed" is correct.

Ugly

This word properly applies to the appearance of a person or thing,
hence such expressions as "He has an ugly temper," "This is an ugly
customer," "That was an ugly rumor," etc., although common in
colloquial discourse, should be avoided in dignified address.
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