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3rd Preparatory

Second Term

Geometry
The Concept of the Arc
The Central Angle & the Inscribed Angle
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case One
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case One (2)
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Two
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Two (2)
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Two (3)
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Two (3)
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Three
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Three (2)
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Three (3)
The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc
The Relation Between the Inscribed Angle & the Arc Subtended on it (2)
The Inscribed Angle in a SemiCircle (2)
A Well Known Problem on the Chords of the Circle
A Well Known Problem on the Chords of the Circle (2)
A Well Known Problem on the Chords of the Circle (3)
A Well Known Problem on the Arcs of the Circle
A Well Known Problem on the Arcs of the Circle (2)
A Well Known Problem on the Arcs of the Circle (3)
The Relation Between the Inscribed Angles on the Same Arc
The Equality Between the Measures of Subtended Angles that Share the Same Arc
The Equality Between the Measures of Subtended Angles that Share the Same Arc (2)
The Inscribed Angles Subtended by the Same Base
The Inscribed Angles Subtended by the Same Base (2)
Concept of Cyclic Quadrilaterals
Concept of Cyclic Quadrilaterals (2)
The Properties of the Cyclic Quadrilaterals
The Properties of the Cyclic Quadrilaterals (2)
The Properties of the Cyclic Quadrilaterals (3)
The Properties of the Cyclic Quadrilaterals
The External Angle of the Cyclic Quadrilateral
The External Angle of the Cyclic Quadrilateral (2)
Cases for the Quadrilateral to be Cyclic
Miscellaneous Exercises (11)
Miscellaneous Exercises (11) (2)
Miscellaneous Exercises (12)
Miscellaneous Exercises (12) (2)
Miscellaneous Exercises (12) (3)
Tangents of a Circle
Tangents of a Circle (2)
The Two Tangents  Segments Drawn to a Circle From a Point Outside It
The Two Tangents  Segments Drawn to a Circle From a Point Outside It (2)
Corollaries on the Relation Between the Two Tangents of the Circle from a Point
The Inscribed Circle of a Triangle
The Inscribed Circle of a Triangle (2)
Angles of Tangency
The Relation Between the Angle of Tangency and the Inscribed Angle Subtended by the Same Arc
The Relation Between the Angle of Tangency and the Inscribed Angle Subtended by the Same Arc (2)
Determining if a ray is a Tangent for the Circle or Not
Miscellaneous Exercises (21)
Miscellaneous Exercises (21) (2)
Exercises on the Angle of Tangency
Exercises on the Angle of Tangency (2)
Exercises on the Angle of Tangency (3)