Geometrics is the science of specifying and tolerancing the shapes and locations of features on objects. Once the shape of a part is defined with an orthographic drawings, the size information is added also …

Dimensions should be given between points or surfaces that have a functional relation to each other or that control the location of mating parts. Dimensions should be given so it will not be necessary for …

General symbols are used with dimensions to clarify the requirement defined by a dimension value and to minimize the number of words or abbreviations placed on a drawing.

It is a simple and effi cient method for describing the tolerancing mandated by the designer of the part. It eliminates ambiguities as to what Datum features are to be contacted to establish the Datum planes …

Provides a concise way to describe a reference coordinate system (datums) of a component or assembly to be used throughout the manufacturing and inspection processes. Reduces the amount …

Dimension of a Vector Space If V is spanned by a nite set, then V is said to be nite-dimensional, and the dimension of V , written as dim V , is the number of vectors in a basis for V .

Dimension De nition: The dimension of a linear space V is the number jBj = k of vectors in a basis B = (~v1; : : : ; ~vk) of V . theo 11.2. Theorem: If U; W are both a basis of V , then jUj = jWj.