Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneMacmillan, 1889 - 294 σελίδες Elementary Synthetic Geometry of the Point, Line and Circle in the Plane by Nathan Fellowes Dupuis, first published in 1889, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. |
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... expressed in the Rule of Identity , its statement being : - If there is but one X and one Y , and if it is proved that X is Y , then it follows that Y is X. Where X and Y stand for phrases such as may form the hypotheses or conclusions ...
... expressed by saying that a line extends to infinity . 3. The hypothetical end - points of any indefinite line are said to be points at infinity . All other points are finite points . 22 ° . Notation . A point is denoted by a single ...
... expressed symbolically by writing where = AC = AB + DE , denotes equality in length , and denotes the placing of the segments AB and DE in line so as to have one common point as an end - point for each . The interpretation of the whole ...
... expressed by 4 ( L . M ) , or LM , where L and M denote the lines in the one - letter notation ( 22 ° ) ; or ( AB , CD ) , where AB and CD denote the lines in the two - letter notation . 34 ° . Def . - Two angles are equal when the arms ...
... expressed in any one of the given units . If a right angle be taken as the unit , a circumangle is expressed by 4 , i.e. four right angles , and a straight angle by 2 . Angles less than a right angle may be expressed , approxi- mately ...
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