Marks' first lessons in geometry
in two parts. Objectively presented, and designed for the
use of primary classes in grammar schools, academies, etc.
Free

Marks' first lessons in geometry in two parts. Objectively presented, and designed for the use of primary classes in grammar schools, academies, etc.

By Bernhard Marks
Free
Book Description
Table of Contents
  • MARKS’ FIRST LESSONS IN GEOMETRY. IN TWO PARTS. OBJECTIVELY PRESENTED, AND DESIGNED FOR THE USE OF PRIMARY CLASSES IN GRAMMAR SCHOOLS, ACADEMIES, ETC.
  • PREFACE.
  • TO THE PROFESSIONAL READER.
  • CONTENTS.
  • PART FIRST.
    • LESSON FIRST.
      • LINES.
      • POINTS
      • CROOKED LINES.
      • CURVED LINES.
      • STRAIGHT LINES.
      • OTHER LINES.
    • LESSON SECOND.
      • REVIEW.
    • LESSON THIRD.
      • POSITIONS OF LINES.
      • VERTICAL LINES.
      • HORIZONTAL LINES.
      • OBLIQUE LINES.
    • LESSON FOURTH.
      • REVIEW.
    • LESSON FIFTH.
      • ANGLES.
    • LESSON SIXTH.
      • REVIEW.
    • LESSON SEVENTH.
      • RELATIONS OF ANGLES.
      • ADJACENT ANGLES.
      • VERTICAL ANGLES.
    • LESSON EIGHTH.
      • REVIEW.
    • LESSON NINTH.
      • KINDS OF ANGLES.
      • RIGHT ANGLES.
      • ACUTE ANGLES.
      • OBTUSE ANGLES.
    • LESSON TENTH.
      • REVIEW.
    • LESSON ELEVENTH.
      • RELATIONS OF LINES.
      • PERPENDICULAR LINES.
      • PARALLEL LINES.
      • OBLIQUE LINES.
    • LESSON TWELFTH.
      • REVIEW.
    • LESSON THIRTEENTH.
      • RELATIONS OF ANGLES.
      • INTERIOR ANGLES.
      • EXTERIOR ANGLES.
    • LESSON FOURTEENTH.
      • REVIEW.
    • LESSON FIFTEENTH.
      • RELATIONS OF ANGLES.
      • OPPOSITE ANGLES.
      • ALTERNATE ANGLES.
    • LESSON SIXTEENTH.
      • REVIEW.
    • LESSON SEVENTEENTH.
      • REVIEW.
    • LESSON EIGHTEENTH.
      • PROBLEMS.
    • LESSON NINETEENTH.
      • POLYGONS.
    • LESSON TWENTIETH.
      • REVIEW.
    • LESSON TWENTY-FIRST.
      • TRIANGLES.
      • ACUTE-ANGLED TRIANGLES.
      • OBTUSE-ANGLED TRIANGLES.
      • RIGHT-ANGLED TRIANGLES.
    • LESSON TWENTY-SECOND.
      • REVIEW.
    • LESSON TWENTY-THIRD.
      • TRIANGLES. (Continued.)
      • ISOSCELES TRIANGLES.
      • EQUILATERAL TRIANGLES.
    • LESSON TWENTY-FOURTH.
      • REVIEW.
      • PROBLEMS.
      • QUADRILATERALS.
    • LESSON TWENTY-FIFTH.
      • REVIEW.
    • LESSON TWENTY-SIXTH.
      • KINDS OF PARALLELOGRAMS.
      • RHOMBOIDS.
      • RHOMBS.
      • RECTANGLES.
      • SQUARES.
    • LESSON TWENTY-SEVENTH.
      • REVIEW.
    • LESSON TWENTY-EIGHTH.
      • COMPARISON AND CONTRAST.
      • TRAPEZIUM AND TRAPEZOID.
      • RHOMBOID AND RECTANGLE.
      • RHOMBOID AND RHOMBUS.
      • RECTANGLE AND SQUARE.
      • RHOMBUS AND SQUARE.
    • LESSON TWENTY-NINTH.
      • REVIEW.
    • LESSON THIRTIETH.
      • MEASUREMENT OF SURFACES.
    • LESSON THIRTY-FIRST.
      • REVIEW.
      • PROBLEMS.
    • LESSON THIRTY-SECOND.
      • THE CIRCLE AND ITS LINES.
    • LESSON THIRTY-THIRD.
      • REVIEW.
    • LESSON THIRTY-FOURTH.
      • ARCS AND DEGREES.
    • LESSON THIRTY-FIFTH.
      • REVIEW.
    • LESSON THIRTY-SIXTH.
      • PARTS OF THE CIRCLE.
    • LESSON THIRTY-SEVENTH.
      • REVIEW.
  • PART SECOND. AXIOMS AND THEOREMS.
    • AXIOMS ILLUSTRATED.
      • Axiom 1.
      • Axiom 2.
      • Axiom 3.
      • Axiom 4.
      • Axiom 5.
      • Axiom 6.
      • Axiom 7.
      • Axiom 8.
      • Axiom 9.
      • Axiom 10.
      • Axiom 11.
    • THEOREMS ILLUSTRATED.
      • DEVELOPMENT LESSON.
      • PROPOSITION I. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • TEST QUESTIONS.
      • TEST LESSON.
      • TEST LESSON.
      • PROPOSITION II. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • TEST QUESTIONS.
      • OTHER METHODS OF DEMONSTRATION.
      • TEST LESSON.
      • PROPOSITION III. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • TEST LESSON.
      • PROPOSITION IV. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • TEST LESSON.
      • PROPOSITION V. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • TEST LESSON.
      • PROPOSITION VI. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • TEST LESSON.
      • PROPOSITION VII. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • TEST LESSON.
      • PROPOSITION VIII. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION IX. PROBLEM.
      • SOLUTION.
      • PROPOSITION X. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • PROPOSITION XI. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • PROPOSITION XII. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • PROPOSITION XIII. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • PROPOSITION XIV. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • PROPOSITION XV. THEOREM.
      • DEMONSTRATION.
      • TEST.
      • PROPOSITION XVI. THEOREM.
      • DEVELOPMENT LESSON.
      • DEMONSTRATION.
      • PROPOSITION XVII. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION XVIII. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION XIX. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION XX. THEOREM.
      • DEMONSTRATION.
      • SECOND CASE.
      • PROPOSITION XXI. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION XXII. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION XXIII. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION XXIV. THEOREM.
      • DEMONSTRATION.
      • PROPOSITION XXV. THEOREM.
      • DEMONSTRATION.
  • APPENDIX.
  • TRANSCRIBER’S NOTES
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