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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

An Unabridged Printing, Originally Titled: An Elementary Treatise On Determinants With Their Application To Simultaneous Linear Equations And Algebraical Geometry: Laws Of Arrangement - Analysis Of Determinants - Analysis Of Equations (Consistency Of Equations Under Given Conditions Of Evanescence Of Their V-Blocks Or B-Blocks; Properties Of Equations Under Given Conditions Of Consistency) - Tests For Consistency Of Equations - Analysis Of Blocks (Evanescence Of Blocks Under Given Conditions; Properties Of Blocks Under Given Conditions Of Evanescence) - Tests For Evanescence Of Blocks - Geometrical Analysis (Plane Geometry; Solid Geometry) - Geometrical Tests (Plane Geometry; Solid Geometry) - Appendixes I: Method Of Analyzing A Given Set Of Simultaneous Linear Equations - II: Arithmetical Computation Of Determinants - III: Algebraical Proof Of The Method Of Condensation - IV: Application Of The Method Of Condensation To The Solution Of Simultaneous Linear Equations - V: Solution Of The Problem: Given An Algebraic Function Of 2 Or More Terms; To Construct A Square Block, Whose Elements Are All Mononomial, And Whose Determinant Vanishes Simultaneously With The Given Function - Tabular View Of Analysis Of Equations (Equations Are Not All Homogeneous; Equations All Homogeneous) - Formulae: Algebraical, Geometrical, Plane Geometry, Solid Geometry.