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Page xxiv
... radius to the point of contact is at right angles to the tangent THEOREM 8. If from the point of contact of a straight line and a circle a chord of the circle be drawn , the angles made by the chord with the tangent will be equal to the ...
... radius to the point of contact is at right angles to the tangent THEOREM 8. If from the point of contact of a straight line and a circle a chord of the circle be drawn , the angles made by the chord with the tangent will be equal to the ...
Page xxvi
... the rectangle contained by the radius and a straight line equal to the circumference Miscellaneous Theorems and Problems • 113 . 114 . 115 . 117 BOOK III . PROPORTION . INTRODUCTION . Measures . PROBLEM xxvi CONTENTS .
... the rectangle contained by the radius and a straight line equal to the circumference Miscellaneous Theorems and Problems • 113 . 114 . 115 . 117 BOOK III . PROPORTION . INTRODUCTION . Measures . PROBLEM xxvi CONTENTS .
Page 40
... radius of the circle . PROBLEM I. To bisect a given angle , that is , to divide it into two equal parts . Construction . Let ABC be the given angle . Take any equal lengths BA , BC , and join AC . With centre A and any radius greater ...
... radius of the circle . PROBLEM I. To bisect a given angle , that is , to divide it into two equal parts . Construction . Let ABC be the given angle . Take any equal lengths BA , BC , and join AC . With centre A and any radius greater ...
Page 41
... radius describe a circle to cut the straight line in two points D , E , so that CD CE . = With centre D and any radius AD The con- B greater than DC describe a circle , and with centre E and the same radius describe a circle , cutting ...
... radius describe a circle to cut the straight line in two points D , E , so that CD CE . = With centre D and any radius AD The con- B greater than DC describe a circle , and with centre E and the same radius describe a circle , cutting ...
Page 42
... radius greater than half AB describe a cir- cle , and with centre B and the same radius describe a circle intersecting the former in two points C and D. Join CD cutting AB in O. Then O will be the point of bisection . Proof . For by the ...
... radius greater than half AB describe a cir- cle , and with centre B and the same radius describe a circle intersecting the former in two points C and D. Join CD cutting AB in O. Then O will be the point of bisection . Proof . For by the ...
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Common terms and phrases
ABē 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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