Modern Methods in Elementary Geometry |
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Page 29
... circle . 1. To draw a straight line bisecting a given finite straight line at right angles . Let AB be the given finite straight line . With centre A and distance greater than half AB describe a circumference ; with centre B and same ...
... circle . 1. To draw a straight line bisecting a given finite straight line at right angles . Let AB be the given finite straight line . With centre A and distance greater than half AB describe a circumference ; with centre B and same ...
Page 55
... circle . The point being without the circumference , draw a line joining it with the centre ; on this line as diameter describe a circle , which will cut the given circumference in two points . The lines joining these with the given ...
... circle . The point being without the circumference , draw a line joining it with the centre ; on this line as diameter describe a circle , which will cut the given circumference in two points . The lines joining these with the given ...
Page 56
... circle of given radius , [ II . 14 . 1. Passing through a given point , and touching a given line , or a given ... describe a circle about a given triangle . 16. To describe a circle about a given square . 17. To inscribe a circle ...
... circle of given radius , [ II . 14 . 1. Passing through a given point , and touching a given line , or a given ... describe a circle about a given triangle . 16. To describe a circle about a given square . 17. To inscribe a circle ...
Page 109
... describe a semi- circle , and at the point where the lines join erect a perpen- dicular to meet the circumference . This will be the mean proportional required ... describe a circle , PROPORTIONAL LINES . SIMILAR FIGURES . 109.
... describe a semi- circle , and at the point where the lines join erect a perpen- dicular to meet the circumference . This will be the mean proportional required ... describe a circle , PROPORTIONAL LINES . SIMILAR FIGURES . 109.
Page 110
E. M. Reynolds. With centre A and distance AB describe a circle , in which place BD = AC . Join AD ; ABD is the triangle A B C D required . Join DC . ABD , DBC are similar triangles IV . 4 . And therefore DC = DB = AC , whence CAD CDA ...
E. M. Reynolds. With centre A and distance AB describe a circle , in which place BD = AC . Join AD ; ABD is the triangle A B C D required . Join DC . ABD , DBC are similar triangles IV . 4 . And therefore DC = DB = AC , whence CAD CDA ...
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Common terms and phrases
Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
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