Life of Fred: Geometry (Expanded Edition)
Life of Fred Geometry Expanded – All you would want to know and more
Click here to view a sample lesson (Opens in a new window or tab)
R1,285.00
Available on backorder
Description
Life of Fred: Geometry (Expanded Edition)
Thirteen regular chapters and six bonus honors chapters.
- Points and lines,
- Definition of when one point is between two other points,
- Definition of a triangle,
- Midpoint,
- Proof of a theorem in paragraph form,
- Tangent and secant lines,
- Area and volume formulas,
- Undefined terms,
- Hypothesis and conclusion,
- Contrapositives,
- Postulates,
- Euclid’s The Elements,
- Rays, Acute, obtuse, and right angles,
- Congruent angles, Linear pairs, Vertical angles, Supplementary angles,
- Perpendicular lines,
- SSS, SAS, ASA,
- Isosceles triangle theorem,
- Pons Asinorum,
- Parallel lines, Skew lines,
- Indirect proofs, Attempts to prove the parallel postulate,
- Exterior angles, Two proofs of the exterior angle theorem,
- Hypotenuse-leg theorem, Medians,
- Quadrilaterals: parallelogram, rhombus, trapezoid, kite, rectangle, square,
- Honor’s Problem of the century: If two angle bisectors are congruent when drawn to the opposite sides, then the triangle is isosceles,
- Definition of a polygon,
- Proofs of all the area formulas given only the area of a square (This is hard. Most books start with the area of a triangle as given.)
- Proofs of the Pythagorean theorem,
- Geometries with only three points,
- Similar triangles,
- Five manipulations of proportions,
- Angle bisector theorem,
- Symbolic logic,
- Truth tables,
- Circles,
- Inscribed angle theorem,
- Definition of a limit of a function, Inductive and deductive reasoning,
- Golden rectangles, 46 Ruler-and-compass constructions,
- Non-euclidean geometries, Solid geometry, Euler’s theorem, Geometry in high dimensions,
- Stereochemistry and homochirality, Complete chart up to the 14th dimension,
- Proofs using analytic geometry,
- Proof that a right angle is congruent to an obtuse angle using euclidean geometry,
- Flawless (modern) geoemtry which was invented about a hundred years ago.
(All the answers are given in the book itself. No need to buy answer keys, teachers’ editions, or anything else.)
Click here to view a sample lesson (Opens in a new window or tab)
