Geometry and Trigonometry, Number Theory and Combinatory

[Booklet Details]

Title: Geometry and Trigonometry, Number Theory and Combinatory
Number of Pages: 70
Dimensions: 6 x 9 inches

PROGRESSIONS
[Chapter 1: Geometry and Trigonometry]
GEOMETRIC INEQUALITIES
In this section, we explore various geometric inequalities and their applications. Discover the relationships between different geometric figures and sharpen your problem-solving skills.
AN INTERESTING LOCUS
Learn about loci, their properties, and how they can be used to solve interesting geometric problems. Explore the concept of locus through engaging examples and exercises.
CYCLIC QUADS
Dive into the fascinating world of cyclic quadrilaterals. Uncover their unique properties, understand their relationships with circles, and solve captivating problems related to these figures.
EQUIANGULAR POLYGONS
Explore the intriguing characteristics of equiangular polygons. Understand the relationships between their angles, sides, and vertices, and discover their connection to regular polygons.
MORE ON EQUILATERAL TRIANGLES
Expand your knowledge of equilateral triangles. Delve into their properties, explore their construction methods, and solve challenging problems involving these special triangles.
THE CARPETS THEOREM
Discover the Carpets Theorem, a fascinating result in geometry. Explore its applications, understand its proof, and use it to solve intricate geometric puzzles.
QUADRILATERALS WITH AN INSCRIBED CIRCLE
Investigate quadrilaterals that can be inscribed in a circle. Learn about the properties of these special quadrilaterals, explore their unique characteristics, and apply them to problem-solving.
DR. TRIG LEARNS COMPLEX NUMBERS
Join Dr. Trig on an exciting journey as he learns about complex numbers. Explore the connections between complex numbers, geometry, and trigonometry. Discover how complex numbers can be used to solve geometric problems.
[Chapter 2: Number Theory and Combinatory]
ARRAYS OF NUMBERS
Explore arrays of numbers and their properties. Understand how different number patterns can be represented visually and analyze their characteristics.
FUNCTIONS DEFINED ON SETS POINTS
Discover functions defined on sets of points. Learn about their properties, explore different types of functions, and solve problems involving graphical representations.
COUNT TWICE!
Dive into the world of combinatorics and counting principles. Explore the fundamental counting principle, permutations, combinations, and more.
SEQUENCES OF INTEGERS
Investigate sequences of integers and their properties. Explore arithmetic and geometric progressions, learn their formulas, and solve problems involving sequence patterns.
EQUATIONS WITH INFINITELY MANY SOLUTIONS
Uncover equations with infinitely many solutions. Understand the conditions under which these equations arise, explore their properties, and solve examples to solidify your understanding.
EQUATIONS WITH NO SOLUTIONS
Explore equations with no solutions. Identify the characteristics of such equations, understand their implications, and solve problems related to this concept.
POWERS OF 2
Delve into the fascinating world of powers of 2. Study their properties, explore their applications in computer science and number theory, and solve intriguing puzzles involving these exponential values.
PROGRESSIONS
Learn about different types of progressions, such as arithmetic, geometric, and harmonic progressions. Understand their formulas, properties, and applications in various fields.