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Page xxiv
... circumferences stand upon equal arcs , and conversely Exercises . 95 • 95 165 • 96 • 97 SECTION III . THE TANGENT AND NORMAL . Definitions • THEOREM 6. A tangent meets the circle in one point only , viz . the point of contact THEOREM 7 ...
... circumferences stand upon equal arcs , and conversely Exercises . 95 • 95 165 • 96 • 97 SECTION III . THE TANGENT AND NORMAL . Definitions • THEOREM 6. A tangent meets the circle in one point only , viz . the point of contact THEOREM 7 ...
Page xxv
... circumference : and as a point moves along the circumference from the extremity of the shortest to the extremity of the longest normal , its distance from the fixed point continually increases THEOREM IO . . Intersection of Circles ...
... circumference : and as a point moves along the circumference from the extremity of the shortest to the extremity of the longest normal , its distance from the fixed point continually increases THEOREM IO . . Intersection of Circles ...
Page xxvi
... to half 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 .
... to half 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 xxix
... 159 RELATION OF ALGEBRA TO GEOMETRY . Examples on the Section 160 THEOREM 15. Circumferences of circles have to one another the ratio of their radii . 165 ONE COROLLARY . 167 SECTION III . PROBLEMS . PROBLEM I. To divide a CONTENT'S . xxix.
... 159 RELATION OF ALGEBRA TO GEOMETRY . Examples on the Section 160 THEOREM 15. Circumferences of circles have to one another the ratio of their radii . 165 ONE COROLLARY . 167 SECTION III . PROBLEMS . PROBLEM I. To divide a CONTENT'S . xxix.
Page 40
... circumference from the centre is called the radius of the circle . PROBLEM I. To bisect a given angle , that is , to ... circumferences will intersect one another . PROBLEM 2 . To draw a perpendicular to a given 40 [ BOOK ELEMENTARY ...
... circumference from the centre is called the radius of the circle . PROBLEM I. To bisect a given angle , that is , to ... circumferences will intersect one another . PROBLEM 2 . To draw a perpendicular to a given 40 [ 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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