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Page 8
... centre of the circle . Def . 9 . A radius of a circle is a straight line drawn from the centre to the circumference . Def . 10. A diameter of a circle is a straight line drawn through the centre and terminated both ways by the circum ...
... centre of the circle . Def . 9 . A radius of a circle is a straight line drawn from the centre to the circumference . Def . 10. A diameter of a circle is a straight line drawn through the centre and terminated both ways by the circum ...
Page 11
... centre , with a radius equal to any finite straight line . It will be seen that these postulates amount to a request to use the straight edge of a ruler , and a pair of compasses ; the latter being such that a distance can be carried by ...
... centre , with a radius equal to any finite straight line . It will be seen that these postulates amount to a request to use the straight edge of a ruler , and a pair of compasses ; the latter being such that a distance can be carried by ...
Page 61
... centre A , and any than half AC , describe a circle , and with centre C , and the same radius , describe another circle intersecting the former circle on the side of AC remote from B in D. Join AD , CD , and BD ; BD bisects the angle ...
... centre A , and any than half AC , describe a circle , and with centre C , and the same radius , describe another circle intersecting the former circle on the side of AC remote from B in D. Join AD , CD , and BD ; BD bisects the angle ...
Page 62
... centre C and any radius describe a circle to cut the straight line in two points D , E , so that CD CE . With centre D , and any radius A D greater than DC , describe a circle , and with centre E and the same radius describe a circle ...
... centre C and any radius describe a circle to cut the straight line in two points D , E , so that CD CE . With centre D , and any radius A D greater than DC , describe a circle , and with centre E and the same radius describe a circle ...
Page 63
... centre A and any radius greater than half AB describe a circle , 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. * Euclid , 1. 12 . + Euclid , 1. 10 . Then ...
... centre A and any radius greater than half AB describe a circle , 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. * Euclid , 1. 12 . + Euclid , 1. 10 . Then ...
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Common terms and phrases
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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