HART AND FELDMAN'S 



PLANE AND SOLID 



GEOMETRY 



By C. A. HART, Instructor of Mathematics, Wadleigh 

 High School, New York City, and DANIEL D. 

 FELDMAN, Head of the Department of Mathematics, 

 Erasmus Hall High School, Brooklyn, with the Editorial 

 Cooperation of J. H. TANNER and VIRGIL SNY- 

 DER, Professors of Mathematics in Cornell University. 



Plane Geometry, separate. , 5o.8o Solid Geometry, separate . . $0.80 



THE outgrowth ot many years' experience in teaching 

 mathematics in secondary schools, this book has been 

 subjected to many classroom tests and much searching 

 criticism. The student is rapidly initiated into the subject. 

 Definitions are given only as needed. The selection and 

 arrangement of theorems are such as to meet the general 

 demand of teachers, as expressed through the Mathematical 

 Associations of the country. Most ot the proofs are given in 

 full. The indirect method of proof is consistently appHed. 

 ^ The carefully selected exercises include: Concrete exer- 

 cises, including numerical problems and problems of construc- 

 tion; so-called practical problems, such as indirect measure- 

 ments of heights and distances by means of equal and similar 

 triangles, problems from physics, from design, etc.; and 

 traditional exercises of a more or less abstract nature. 

 *^ The definitions of closed figures are unique. The stu- 

 dent's natural conception of a plane closed figure, for example, 

 is not the boundary line only, nor the plane only, but the 

 whole figure composed of boundary line and plane bounded. 

 *f\ Argument and reasons are arranged in parallel form. This 

 arrangement gives a definite model for proving exercises, 

 renders the careless omission of the reasons in a demonstration 

 impossible, and leads to accurate thinking. 



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