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Page xxv
... extremity of the shortest to the extremity of the longest normal , its distance from the fixed point continually increases THEOREM IO . . Intersection of Circles . The line that joins the centres of two intersecting circles , or that ...
... extremity of the shortest to the extremity of the longest normal , its distance from the fixed point continually increases THEOREM IO . . Intersection of Circles . The line that joins the centres of two intersecting circles , or that ...
Page xxvi
... extremities are joined consecutively , a regular polygon will be inscribed in the circle , and if at their extre- mities , tangents are drawn , a regular polygon will be cir- cumscribed to the circle THEOREM 13. In a regular polygon the ...
... extremities are joined consecutively , a regular polygon will be inscribed in the circle , and if at their extre- mities , tangents are drawn , a regular polygon will be cir- cumscribed to the circle THEOREM 13. In a regular polygon the ...
Page 4
... extremity , so that a point which by its motion has described the one , would , if its motion were continued in the same direction , immediately proceed to describe the other . The operation of adding is expressed by the sign + . Thus ...
... extremity , so that a point which by its motion has described the one , would , if its motion were continued in the same direction , immediately proceed to describe the other . The operation of adding is expressed by the sign + . Thus ...
Page 5
... extremity , the motion being in one plane . An angle is named by a single letter at the vertex , as A ; or by a letter at the vertex placed between letters on each of the arms . any Ax . 4 . An angle may be conceived as transferred to ...
... extremity , the motion being in one plane . An angle is named by a single letter at the vertex , as A ; or by a letter at the vertex placed between letters on each of the arms . any Ax . 4 . An angle may be conceived as transferred to ...
Page 30
... , and the point C would fall somewhere on EF , or on EF pro- duced through F. It remains to see the effect of the only remaining con- dition that AC = DF . Now the line AC has one extremity A on D 3309 [ Book ELEMENTARY GEOMETRY .
... , and the point C would fall somewhere on EF , or on EF pro- duced through F. It remains to see the effect of the only remaining con- dition that AC = DF . Now the line AC has one extremity A on D 3309 [ Book ELEMENTARY GEOMETRY .
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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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