Why are the lines e f and g h said to be parallel?
When are lines said to be parallel?
Many of the questions are intended to test the vividness of the pupil’s conception. See page [29].
Also page [78]. If the circumference were divided into 360 equal parts, would each arc be large or small?
Many of the questions are intended to test the attention of the pupil.
The thing is not to be recognized by the definition; but the definition is to be a description of the thing, a description of the conception brought to the mind of the pupil by means of the name.
CONTENTS.
| PART I. | |
|---|---|
| Lines | [9] |
| Points | [9] |
| Crooked Lines | [10] |
| Curved Lines | [11] |
| Straight Lines | [11] |
| Other Lines | [11] |
| Positions of Lines | [14] |
| Angles | [17] |
| Relations of Angles | [20] |
| Adjacent Angles | [20] |
| Vertical Angles | [21] |
| Kinds of Angles | [23] |
| Right Angles | [23] |
| Acute Angles | [24] |
| Obtuse Angles | [24] |
| Relations of Lines | [27] |
| Perpendicular Lines | [27] |
| Parallel Lines | [28] |
| Oblique Lines | [28] |
| Interior Angles | [30] |
| Exterior Angles | [31] |
| Opposite Angles | [32] |
| Alternate Angles | [33] |
| Problems relating to Angles | [38] |
| Polygons | [40] |
| Triangles | [44] |
| Isosceles Triangles | [48] |
| Problems relating to Triangles | [53] |
| Quadrilaterals | [55] |
| Parallelograms | [59] |
| Comparison and Contrast of Figures | [62] |
| Measurement of Surfaces | [66] |
| Problems relating to Surfaces | [71] |
| The Circle and its Lines | [73] |
| Arcs and Degrees | [78] |
| Parts of the Circle | [82] |
| PART II. | |
| AXIOMS AND THEOREMS. | |
| Axioms. Illustrated | [85] |
| Theorems. Illustrated | [88] |
FIRST LESSONS IN GEOMETRY.
