Contents of Jacob's Geometry -- #2

9 AREA

1. Polygonal Regions and Area
2. Squares and Rectangles
3. Triangles
4. Parallelogram and Trapezoids
5. The Pythagorean Theorem
6. Heron's Theorem

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10 SIMILARITY

1. Ratio and Proportion
2. The Side-Splitter Theorem
3. Similar Polygons
4. The AA Similarity Theorem
5. The SAS SImilarity Theorem
6. The Angle Bisector Theorem
7. Perimeters and Areas of Similar Polygons

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11 THE RIGHT TRIANGLE

1. Proportions in a Right Triangle
2. The Pythagorean Theorem Revisited
3. Isosceles and 30-60 degree Right Triangles
4. The Tangent Ratio
5. The Sine and Cosine Ratios

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12 CIRCLES

1. Circles, Radii, and Chords
2. Tangents
3. Central Angles and Arcs
4. Inscribed Angles
5. Secant Angles
6. Tangent Segments
7. Chord and Secant Segments

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13 THE CONCURRENCE THEOREMS

1. Concyclic Points
2. Cyclic Quadrilaterals
3. Incircles
4. Ceva's Therem
5. The Centroid of a Triangle
6. Constructions

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14 REGULAR POLYGONS AND THE CIRCLE

1. Regular Polygons
2. The Perimeter of a Regular Polygon
3. The Area of a Regular Polygon
4. Limits
5. The Circumference and Area of a Circle
6. Sectors and Arcs

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15 GEOMETRIC SOLIDS

1. Lines and Planes in Space
2. Rectangular Solids
3. Prisms
4. The Volume of a Prism
5. Pyramids
6. Cylinders and Cones
7. Spheres
8. Similar Solids

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Other

Non-Euclidean Geometries

17 Coordinate Geometry

1. Coordinate Systems
2. The Distance Formula
3. Slope
4. Parallel and Perpendicular Lines
5. The Midpoint Formula
6. Coordinate Proofs

Postulates and Theorems