Indicating position or location. • Positioned at the upper surface of, touching from above. • Positioned at or resting against the outer surface of; attached to. • Covering. • At or in (a geographical location or position). • At (a relative spatial position). • Near; adjacent to; alongside; just off. • Aboard (a mode of transport, especially public transport, or transport that one sits astride or uses while standing). • In the direction of (some part of one's vessel), to within 45 degrees. • Expressing figurative placement, burden, or attachment. • Denoting physical contact or interaction with an object, such as impact or application of force. • With verbs describing an action of pushing, pulling, pressing, etc., designates the thing to which force is applied. • With verbs describing an action of hitting, rubbing, scratching, binding against, etc., designates the thing impacted or contacted. • Denoting performance or action by contact with the surface, upper part, or outside of anything By means of; with. • Supported by (the specified part of itself). • At (a certain value or level). • At (a certain position within a sequence). • At or during the date or day of. • At (a given time after the start of something). • At (an instant or cusp). • Dealing with the subject of; about; concerning. • Indicating a means or medium. • Indicating the target of, or thing affected by, an event or action. • In the possession of. • Because of; upon the basis of (something not yet confirmed as true). • At the time of (and often because of). • Arrived or coming into the presence of. • Paid for by. • Toward; for; indicating the object of an emotion. • Indicating the person experiencing an emotion, cold, thirst, hunger, etc. • Indicating a means of subsistence or sustenance. • Engaged in or occupied with (an action or activity). • Regularly taking (a drug). • Under the influence of (a drug, or something that is causing drug-like effects). • In addition to; besides; indicating multiplication or succession in a series. • Indicating dependence or reliance. • Serving as a member of. • By virtue of; with the pledge of. • Ellipsis of I swear on: on my life, on God, on everything, etc. • To the account or detriment of; denoting imprecation or invocation, or coming to, falling, or resting upon. • Against; in opposition to. • According to, from the standpoint of; (expressing what must follow, whether accepted or not, if a given premise or system is assumed true). • In a position of being able to pot (a given ball). • Having as identical domain and codomain. • Having Vⁿ as domain and V as codomain, for the specified set V and some integer n. • Generated by. • Divided by. • Of. • At the peril of, or for the safety of.