Here are the primary events for May 2019 beginning first with a new moon. Then displaying the first quarter, full moon, third quarter, and ending with the last new moon for the chosen month.
The phases of the Moon are:
Many of us are familiar with the terms B.C. and A.D. The abbreviation B.C. has traditionally been designated as dates before the birth of Christ (B.C. = Before Christ). Dates after Christ's birth are often referred to as A.D. which is an abbreviation for the Latin term "anno Domini" meaning "in the year of the Lord".
Some historians have adopted an alternative dating system, which use B.C.E. (Before the Common Era), and C.E. (the Common Era). These old, and new terms are equivalent:
All of the calculations here assume you want to look up the moon phases for dates after the year 1, that is, C.E. dates.
It may interest you to know that the use of CE & BCE, as opposed to AD & BC has been controversial, and there are many pages on the Internet discussing the use of the various terms.