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作品数：298被引量：453H指数：10
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A Procedure for Trisecting an Acute Angle (Method 2)
《Advances in Pure Mathematics》2024年第4期204-213,共10页Lyndon O. Barton 
This paper presents an alternate graphical procedure (Method 2), to that presented in earlier publications entitled, “A Procedure for Trisecting an Acute Angle” and “A Key to Solving the Angle Trisection Problem”....
关键词：Archimedes’ Construction College Geometry College Mathematics Angle Trisection Famous Problems in Mathematics Mechanism Analysis Geometer’s Sketch Pad 
A Key to Solving the Angle Trisection Problem
《Advances in Pure Mathematics》2023年第9期625-634,共10页Lyndon O. Barton 
This paper describes the methodology (or approach) that was key to the solution of the angle trisection problem published earlier in article entitled, “A Procedure For Trisecting An Acute Angle.” It was an approach ...
关键词：Archimedes’ Construction College Geometry College Mathematics Angle Trisection Trisector Famous Problems in Mathematics History of Mathematics Mechanism Analysis Kinematics Geometer’s Sketch Pad 
A Simplified Graphical Procedure for Constructing a 10˚or 20˚Angle
《Advances in Pure Mathematics》2023年第7期442-448,共7页Lyndon O. Barton 
This paper presents a simplified graphical procedure for constructing, using an unmarked straightedge and a compass only, a 10˚ to 20˚ angle, which is in other words, trisecting a 30˚ or 60˚ angle. The procedure, when...
关键词：Archimedes’ Construction College Geometry Angle Trisection Trisection of an Angle Famous Problems in Mathematics. Geometer’s Sketch Pad Mechanisms Mechanism Analysis Kinematics Trisector 
A Procedure for the Squaring of a Circle (of Any Radius)
《Advances in Pure Mathematics》2023年第2期96-102,共7页Lyndon O. Barton 
This paper presents a graphical procedure for the squaring of a circle of any radius. This procedure, which is based on a novel application of the involute profile, when applied to a circle of arbitrary radius (using ...
关键词：Famous Problems in Mathematics ARCHIMEDES College Mathematics INVOLUTE Mean Proportional Principle Squaring the Circle QUADRATURE Geometer’s Sketch Pad College Geometry 
A Method for the Squaring of a Circle
《Advances in Pure Mathematics》2022年第9期535-540,共6页Lyndon O. Barton 
This paper presents a Method for the squaring of a circle (i.e., constructing a square having an area equal to that of a given circle). The construction, when applied to a given circle having an area of 12.7 cm2<...
关键词：Famous Problems in Mathematics ARCHIMEDES College Mathematics Cycloidal Construction Mean Proportional Principle Squaring the Circle QUADRATURE Geometer’s Sketch Pad College Geometry 
A Count Sketch Maximal Weighted Residual Kaczmarz Method with Oblique Projection for Highly Overdetermined Linear Systems被引量：1
《Advances in Pure Mathematics》2022年第4期260-270,共11页Peng Zhang Longyan Li Pingping Zhang 
Motivated by the count sketch maximal weighted residual Kaczmarz (CS-MWRK) method presented by Zhang and Li (Appl. Math. Comput., 410, 126486), we combine the count sketch tech with the maximal weighted residual Kaczm...
关键词：Count Sketch Oblique Projection Kaczmarz Method Linear System 
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