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Page xxiv
... TANGENT AND NORMAL . Definitions • THEOREM 6. A tangent meets the circle in one point only , viz . the point of contact THEOREM 7. The radius to the point of contact is at right angles to the tangent THEOREM 8. If from the point of ...
... TANGENT AND NORMAL . Definitions • THEOREM 6. A tangent meets the circle in one point only , viz . the point of contact THEOREM 7. The radius to the point of contact is at right angles to the tangent THEOREM 8. If from the point of ...
Page xxv
... tangent to a circle from a given point • · . 104 104 PROBLEM 3. To cut from any circle a segment which shall be capable of a given angle PROBLEM 4. On a given straight line to describe a segment of a circle containing an angle equal to ...
... tangent to a circle from a given point • · . 104 104 PROBLEM 3. To cut from any circle a segment which shall be capable of a given angle PROBLEM 4. On a given straight line to describe a segment of a circle containing an angle equal to ...
Page xxvi
... tangents are drawn , a regular polygon will be cir- cumscribed to the circle THEOREM 13. In a regular polygon the bisectors of the angles intersect in one point , which is the centre of the circles inscribed in the polygon , or ...
... tangents are drawn , a regular polygon will be cir- cumscribed to the circle THEOREM 13. In a regular polygon the bisectors of the angles intersect in one point , which is the centre of the circles inscribed in the polygon , or ...
Page 95
... points of the chords so formed is a circle . SECTION III . THE TANGENT AND NORMAL . Def . II . ] 95 EXERCISES . In equal circles equal angles at the circumferences stand upon equal arcs, and conversely Exercises • 165.
... points of the chords so formed is a circle . SECTION III . THE TANGENT AND NORMAL . Def . II . ] 95 EXERCISES . In equal circles equal angles at the circumferences stand upon equal arcs, and conversely Exercises • 165.
Page 96
... tangent to the circle at the point B. The point B is then called the point of contact . Several important properties follow at once from this definition of a tangent . THEOREM 6 . A tangent meets the circle in one 96 [ Book ELEMENTARY ...
... tangent to the circle at the point B. The point B is then called the point of contact . Several important properties follow at once from this definition of a tangent . THEOREM 6 . A tangent meets the circle in one 96 [ Book ELEMENTARY ...
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Common terms and phrases
AB² ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
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