Euclidian Geometry |
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Page 63
... DF or DF ' . Hence , if the 4s opposite the sides AB , DE are both acute or both obtuse , then will the As ABC , DEF be equal in all respects . DEFINITION . The locus of a point satisfying a certain SUPPLEMENT TO BOOK I. 63.
... DF or DF ' . Hence , if the 4s opposite the sides AB , DE are both acute or both obtuse , then will the As ABC , DEF be equal in all respects . DEFINITION . The locus of a point satisfying a certain SUPPLEMENT TO BOOK I. 63.
Page 64
... locus of a point equidistant from two given points . Let A , B be the two given points . Bisect AB in P , then Pis one point in the locus . Let be any other point in the locus . Join QA , QB , QP . Then . AP , PQ , QA are respectively ...
... locus of a point equidistant from two given points . Let A , B be the two given points . Bisect AB in P , then Pis one point in the locus . Let be any other point in the locus . Join QA , QB , QP . Then . AP , PQ , QA are respectively ...
Page 65
... locus of points equidistant from A and C ; .. Fis equidistant from A and C. Similarly Fis equidistant from B and C ... locus of a SUPPLEMENT TO BOOK I. 65.
... locus of points equidistant from A and C ; .. Fis equidistant from A and C. Similarly Fis equidistant from B and C ... locus of a SUPPLEMENT TO BOOK I. 65.
Page 66
Francis Cuthbertson. PROBLEM ( e ) . Find the locus of a point equidistant from two straight lines which cut one ... locus of the point equidistant from AB , AC , is the line bisecting the angle between them . DEDUCTION ( ƒ ) . The ...
Francis Cuthbertson. PROBLEM ( e ) . Find the locus of a point equidistant from two straight lines which cut one ... locus of the point equidistant from AB , AC , is the line bisecting the angle between them . DEDUCTION ( ƒ ) . The ...
Page 67
... locus of points equidistant from AB , BC ; .. His equally distant from AB and BC . Similarly it is equally distant from BC and CA , and is .. equally distant from AB and AC , and .. lies on the line bisecting the △ BAC ; .. the lines ...
... locus of points equidistant from AB , BC ; .. His equally distant from AB and BC . Similarly it is equally distant from BC and CA , and is .. equally distant from AB and AC , and .. lies on the line bisecting the △ BAC ; .. the lines ...
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Common terms and phrases
Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex