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First Lessons in Geometry

First Lessons in Geometry

by Thomas Hill

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Language: English

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About this eBook

Author
Hill, Thomas, 1818-1891
Title
First lessons in Geometry
Original Publication
Boston: Hickeling, Swan, and Brown, 1855.
Credits
Carla Foust and the Online Distributed Proofreading Team at www.pgdp.net (This file was produced from images generously made available by The Internet Archive)
Language
English
LoC Class
QA: Science: Mathematics
Subject
Geometry -- Study and teaching
Category
Text
Project Gutenberg
eBook-No. 79951
Release Date
November 8, 2026
Copyright
Public domain in the USA.

Contents

  1. 1.FIRST LESSONS IN GEOMETRY.
  2. 2.PREFACE.
  3. 3.Untitled
  4. 4.CHAPTER I. WHAT THIS BOOK IS ABOUT.
  5. 5.CHAPTER II. POINTS, LINES, AND PLANES.
  6. 6.CHAPTER III. ABOUT STRAIGHT LINES AND CURVES.
  7. 7.CHAPTER IV. ABOUT ANGLES.
  8. 8.CHAPTER V. PARALLEL LINES.
  9. 9.CHAPTER VI. A LITTLE ABOUT TRIANGLES.
  10. 10.CHAPTER VII. MORE ABOUT TRIANGLES.
  11. 11.CHAPTER VIII. RIGHT TRIANGLES.
  12. 12.CHAPTER IX. SIMILARITY AND ISOPERIMETRY.
  13. 13.CHAPTER X. THE SIZE OF TRIANGLES.
  14. 14.CHAPTER XI. DIFFERENT KINDS OF TRIANGLES.
  15. 15.CHAPTER XII. QUADRANGLES.
  16. 16.CHAPTER XIII. PARALLELOGRAMS.
  17. 17.CHAPTER XIV. RECTANGLES AND SQUARES.
  18. 18.CHAPTER XV. TRIANGLES AND RECTANGLES.
  19. 19.CHAPTER XVI. CIRCLES.
  20. 20.CHAPTER XVII. MORE ABOUT CIRCLES.
  21. 21.CHAPTER XVIII. MEASURING ANGLES.
  22. 22.CHAPTER XIX. CHORDS.
  23. 23.CHAPTER XX. CHORDS AND TANGENTS.
  24. 24.CHAPTER XXI. MORE ABOUT CHORDS AND TANGENTS.
  25. 25.CHAPTER XXII. INSCRIBED POLYGONS.
  26. 26.CHAPTER XXIII. MORE ABOUT INSCRIBED POLYGONS.
  27. 27.CHAPTER XXIV. HOW MUCH FURTHER IS IT ROUND A HOOP THAN ACROSS IT?
  28. 28.CHAPTER XXV. HOW TO MEASURE THE SIZE OF A CIRCLE.
  29. 29.CHAPTER XXVI. ABOUT CURVATURE.
  30. 30.CHAPTER XXVII. ABOUT A WHEEL ROLLING.
  31. 31.CHAPTER XXVIII. MORE ABOUT A ROLLING WHEEL.
  32. 32.CHAPTER XXIX. WHEELS ROLLING ROUND A WHEEL.
  33. 33.CHAPTER XXX. OF A WHEEL ROLLING ON THE INSIDE OF A HOOP.
  34. 34.CHAPTER XXXI. ABOUT A HANGING CHAIN.
  35. 35.CHAPTER XXXII. THE PATH OF A STONE IN THE AIR.
  36. 36.CHAPTER XXXIII. THE SHADOW OF A BALL.
  37. 37.CHAPTER XXXIV. THE SHADOW OF A REEL.
  38. 38.CHAPTER XXXV. THE COW’S FOOT IN A CUP OF MILK.
  39. 39.CHAPTER XXXVI. SOLID GEOMETRY.
  40. 40.CHAPTER XXXVII. CONIC SECTIONS.
  41. 41.CHAPTER XXXVIII. THE SPHERE.
  42. 42.PRACTICAL QUESTIONS AND PROBLEMS FOR REVIEW BY THE OLDER SCHOLARS.
  43. 43.Untitled

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