Marks' First Lessons in Geometry cover

Marks' First Lessons in Geometry

Rating 2.7
Word count
116K words
Chapters
12

Tags

Summary

Project Gutenberg was the first provider of free electronic books, or eBooks. Michael Hart, founder of Project Gutenberg, invented eBooks in 1971 and his memory continues to inspire the creation of eBooks and related technologies today. Marks' First Lessons in Geometry by Bernhard Marks. Author: Marks, Bernhard, 1832-1913. Language: English. Class: QA: Science: Mathematics. Release Date: Mar 8, 2017

Editor's review

This is an introductory geometry textbook by Bernhard Marks, a public-domain work in mathematics published in English by Project Gutenberg. Its hallmark is a step-by-step approach: it begins with the most basic figures and definitions, builds geometric concepts in a clear and simple way, and gradually introduces training in reasoning and proof, making it a suitable ladder for beginners in geometry. Compared with modern textbooks, its language and organization bear the marks of its era, and its examples and terminology may not correspond exactly to today's classrooms; yet precisely for this reason it presents a classic path in geometry teaching and is valuable both for studying the history of textbooks and for supplementary basic training. When reading, keep paper and pencil at hand for drawing: read and draw at the same time, matching definitions to figures; do not be troubled by old-fashioned expressions—grasp the concepts and the chain of reasoning.

Who it's for

A good fit for

  • Upper-secondary students who want a systematic grounding in plane geometry
  • Teachers engaged in mathematics education who care about how classic textbooks are organized
  • Readers studying the history of mathematics textbooks and early methods of teaching geometry
  • Self-learners with basic English who wish to read slowly and train logical reasoning

Not a good fit for

  • Young children with no foundation at all who need explanation in Chinese
  • Test-takers who want to drill problems quickly for higher scores and seek exam techniques
  • Readers who want only the modern geometric system and will not accept old-fashioned wording

Reading tips

  1. Prepare a ruler, compasses and scratch paper, and draw figures as you read definitions and construction steps.
  2. After each section, close the book and restate the key concepts and reasoning steps to check whether you have truly understood.
  3. When you meet old-fashioned terms, first infer their meaning from context, then check against a modern textbook.
  4. Work through the chapters in order; skipping is not advised, lest the chain of reasoning break.

About the publisher

Project Gutenberg United States · Founded in 1971

Project Gutenberg is a digital publishing project focused on public-domain ebooks. Its publishing direction centers on classic literary works whose copyright has expired, covering genres such as poetry, drama, fiction, and epic. Representative books include Lyrical Ballads by Wordsworth and Coleridge, Proust's Du côté de chez Swann, Shakespeare's Macbeth and The Complete Works of William Shakespeare, Homer's The Iliad, Dante's La Divina Comèdia: Purgatòri, Cervantes's The History of Don Quixote, Volume 2, and Grahame's The Wind in the Willows. Its author resources consist mainly of classic Western writers such as Wordsworth, Proust, Shakespeare, Homer, Dante, Cervantes, Grahame, and Tolstoy. Its publishing feature is the provision of freely accessible ebooks in EPUB and Kindle formats; it is not a traditional publisher, and publicly available information is limited.

Contents

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12

FAQ

What level of learner is this book suitable for?
It suits readers who already have basic English reading ability and want to learn plane geometry systematically starting from concepts, especially upper-secondary students and mathematics teachers. Young readers with no foundation need guidance, or they will easily get stuck on terminology and reasoning.
Is the content very different from modern geometry textbooks?
The basic concepts and methods of reasoning are common ground, but the language style, terminology and arrangement of examples bear the marks of the age in which the book was written and may not match the pace of today's classrooms. It is best used as supplementary reading for concept training, not as a replacement for current textbooks.
What should I do if the English original is hard to read?
First read through once for the general idea, then read section by section closely, drawing figures to understand definitions. Do not wrestle with old-fashioned expressions word by word; give priority to grasping the concepts and reasoning steps, and consult a Chinese geometry textbook to confirm terminology when necessary.

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About the author

Bernhard Marks (1832–1913) was a textbook writer about whose life little is recorded; public information is limited, and details of his nationality, education, and career cannot be reliably confirmed. What can be established is that he wrote Marks' First Lessons in Geometry, an introductory geometry textbook intended for beginners, which guides readers through the basic concepts and figures of geometry in a step-by-step manner. Judging from its title and structure, the book emphasizes accessibility and readability, seeking to turn abstract geometrical knowledge into material that beginners can readily absorb, and to suit both classroom teaching and self-study. Such textbooks were common in European and American elementary education in the nineteenth and early twentieth centuries, and they helped popularize basic geometry and foster a sense of space in young learners. Although the author himself is not widely known, the work remains a useful reference for understanding geometry teaching for beginners in that period.

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