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" ... and surfaces of the second and third orders are also there founded upon the composition of vectors. EXAMPLES TO CHAPTER I. 1. The lines which join, towards the same parts, the extremities of two equal and parallel lines are themselves equal and parallel.... "
Vector Analysis: A Text-book for the Use of Students of Mathematics and ... - Pàgina 53
per Josiah Willard Gibbs, Edwin Bidwell Wilson - 1901 - 436 pàgines
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An Elementary Treatise on Quaternions

Peter Guthrie Tait - 1867 - 354 pàgines
...equal and parallel lines are themselves equal and parallel. (Euclid, I. xxxiii.) 2. Find the vector of the middle point of the line which joins the middle points of the diagonals of any quadrilateral, plane or gauche, the vectors of the corners being given ; and so...
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An elementary treatise on quaternions

Peter Guthrie Tait - 1867 - 364 pàgines
...equal and parallel lines are themselves equal and parallel. (Euclid, I. xxxiii.) 2. Find the vector of the middle point of the line which joins the middle points of the diagonals of any quadrilateral, plane or gauche, the vectors of the corners being given; and so...
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Examination Papers

Queen's University (Kingston, Ont.) - 1899 - 920 pàgines
...represented by 4 lines OA, OB, ОС, OD ; shew that their resultant is represented by 40G, G being the middle point of the line which joins the middle points of AC and BD. Queen'-ч University Examinations: April, 1900. PASS. Senior Physics. Dynamics, Electricity,...
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Vector Analysis: An Introduction to Vector-methods and Their Various ...

Joseph George Coffin - 1911 - 296 pàgines
...the line which joins the middle points of the diagonals. Find the middle point of the line joining the middle points of two opposite sides. Show that...masses placed at the vertices of the quadrilateral. 21. Discuss the conditions imposed upon three, four, or five vectors if they satisfy two equations,...
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Vector Analysis: An Introduction to Vector-methods and Their Various ...

Joseph George Coffin - 1911 - 296 pàgines
...sides are equal and parallel to the medians of any given triangle. 20. Given a quadrilateral in space. Find the middle point of the line which joins the middle points of the diagonals. Find the middle point of the line joining the middle points of two opposite sides. Show...
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An Elementary Treatise On Quaternions

Peter Guthrie Tait - 2018 - 462 pàgines
...equal and parallel lines are themselves equal and parallel. (Euclid, I. xxxiii.) 2. Find the vector of the middle point of the line which joins the middle points of the diagonals of any quadrilateral, plane or gauche, the vectors of the corners being given ; and so...
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