Emerging From the Shadows : the Life of Captain John (Deserontyou), Circa 1742-1811, Founder of the Bay of Quinte Mohawk Village

This thesis is a biographical examination of the life of Mohawk leader Deserontyou (Captain John) and covers the years from the 1730's up to, and briefly following, 1811. The social, economic and political position of the Mohawk people and Deserontyou's position within the Fort Hunter community prior to the Revolution are addressed first. The Revolutionary War years are then covered with emphasis placed on Deserontyou's military role, the unpleasant conditions at Lachine and the painful reality for the Mohawk people in the aftermath of Britain's defeat. The post-war settlement on the Bay of Quinte is then explored, including the difficulties that Deserontyou experienced with the land, with the British Government, and with his own people. The documents upon which this examination are based come from many primary collections including: The Draper Manuscripts, the Haldimand Papers, the Stuart Papers, Ontario Lands & Forest Survey Records, the Society for the Propagation of the Gospel in Foreign Parts, Episcopal Records, the Bell Papers, the File Collection, the Claus Papers and Indian Affairs Papers.

Degeneracy of velocity constraints in rigid body systems

The equations governing the dynamics of rigid body systems with velocity constraints are singular at degenerate configurations in the constraint distribution. In this report, we describe the causes of singularities in the constraint distribution of interconnected rigid body systems with smooth configuration manifolds. A convention of defining primary velocity constraints in terms of orthogonal complements of one-dimensional subspaces is introduced. Using this convention, linear maps are defined and used to describe the space of allowable velocities of a rigid body. Through the definition of these maps, we present a condition for non-degeneracy of velocity constraints in terms of the one dimensional subspaces defining the primary velocity constraints. A method for defining the constraint subspace and distribution in terms of linear maps is presented. Using these maps, the constraint distribution is shown to be singular at configuration where there is an increase in its dimension.