AngelIn various theistic religious traditions, an angel is a supernatural spiritual being who serves God. Abrahamic religions often depict angels as benevolent celestial intermediaries between God (or Heaven) and humanity. Other roles include protectors and guides for humans, such as guardian angels, and servants of God. Abrahamic religions describe angelic hierarchies, which vary by religion and sect. Some angels have specific names (such as Gabriel or Michael) or titles (such as seraph or archangel).
Doctrine and CovenantsThe Doctrine and Covenants (sometimes abbreviated and cited as D&C or D. and C.) is a part of the open scriptural canon of several denominations of the Latter Day Saint movement. Originally published in 1835 as Doctrine and Covenants of the Church of the Latter Day Saints: Carefully Selected from the Revelations of God, editions of the book continue to be printed mainly by the Church of Jesus Christ of Latter-day Saints (LDS Church) and the Community of Christ (formerly the Reorganized Church of Jesus Christ of Latter Day Saints [RLDS Church]).
GnosticismGnosticism (from Ancient Greek: γνωστικός, romanized: gnōstikós, Koine Greek: [ɣnostiˈkos], 'having knowledge') is a collection of religious ideas and systems that coalesced in the late 1st century AD among Jewish and early Christian sects. These various groups emphasized personal spiritual knowledge (gnosis) above the proto-orthodox teachings, traditions, and authority of religious institutions. Gnostic cosmogony generally presents a distinction between a supreme, hidden God and a malevolent lesser divinity (sometimes associated with the God of the Hebrew Bible) who is responsible for creating the material universe.
New TestamentThe New Testament (NT) is the second division of the Christian biblical canon. It discusses the teachings and person of Jesus, as well as events in first-century Christianity. The New Testament's background, the first division of the Christian Bible, is called the Old Testament, which is based primarily upon the Hebrew Bible; together they are regarded as sacred scripture by Christians. The New Testament is a collection of Christian texts originally written in the Koine Greek language, at different times by various authors.
Screw axisA screw axis (helical axis or twist axis) is a line that is simultaneously the axis of rotation and the line along which translation of a body occurs. Chasles' theorem shows that each Euclidean displacement in three-dimensional space has a screw axis, and the displacement can be decomposed into a rotation about and a slide along this screw axis. Plücker coordinates are used to locate a screw axis in space, and consist of a pair of three-dimensional vectors. The first vector identifies the direction of the axis, and the second locates its position.
Frenet–Serret formulasIn differential geometry, the Frenet–Serret formulas describe the kinematic properties of a particle moving along a differentiable curve in three-dimensional Euclidean space , or the geometric properties of the curve itself irrespective of any motion. More specifically, the formulas describe the derivatives of the so-called tangent, normal, and binormal unit vectors in terms of each other. The formulas are named after the two French mathematicians who independently discovered them: Jean Frédéric Frenet, in his thesis of 1847, and Joseph Alfred Serret, in 1851.
