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# 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
• MARKSâ€™ FIRST LESSONS IN GEOMETRY. IN TWO PARTS. OBJECTIVELY PRESENTED, AND DESIGNED FOR THE USE OF PRIMARY CLASSES IN GRAMMAR SCHOOLS, ACADEMIES, ETC.
• PREFACE.
• 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.
• 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.
• 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.
• TRANSCRIBERâ€™S NOTES
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