A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements: Books I.- VI. and XI.Macmillan, 1905 - 229 pages |
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... circles . It would of course be impossible within reasonable limits of space to deal separately with all the cases that may arise in every Example of this kind we have therefore selected that case which we think would most naturally ...
... circles . It would of course be impossible within reasonable limits of space to deal separately with all the cases that may arise in every Example of this kind we have therefore selected that case which we think would most naturally ...
Page 1
... circle , and pro- duce AB to meet its circumference at C. With centre A , and radius AC , describe a second circle PCQ ; and from A draw any st . line to cut the circle PCQ at P. Then AP shall be the required line . Now AC is a diameter ...
... circle , and pro- duce AB to meet its circumference at C. With centre A , and radius AC , describe a second circle PCQ ; and from A draw any st . line to cut the circle PCQ at P. Then AP shall be the required line . Now AC is a diameter ...
Page 2
... circle ; [ Def . 15. ] and OA = OB , being radi of the inner circle : hence the remainder AD - the remainder BE . [ Ax . 3. ] 5. With centre P and radius PQ , describe a circle cutting AB ( produced , if necessary ) at X and Y. Then ...
... circle ; [ Def . 15. ] and OA = OB , being radi of the inner circle : hence the remainder AD - the remainder BE . [ Ax . 3. ] 5. With centre P and radius PQ , describe a circle cutting AB ( produced , if necessary ) at X and Y. Then ...
Page 3
... circle ; and with centre B , and radius BM , describe a second circle , cutting the first at a point C. Join AC , BC . Then in the triangle ABC , AC = AN , and BC = BM . [ Def . 15. ] Page 17 . 1. In the A3 DAB , CBA , DA = CB , being ...
... circle ; and with centre B , and radius BM , describe a second circle , cutting the first at a point C. Join AC , BC . Then in the triangle ABC , AC = AN , and BC = BM . [ Def . 15. ] Page 17 . 1. In the A3 DAB , CBA , DA = CB , being ...
Page 8
... circle ; and with centre Q , and radius QP , describe a second circle intersecting the first at the points X and Y. Then it may be shewn , by the method of I. 1 , that PXQY is the rhombus required . 9. With centre A , and radius equal ...
... circle ; and with centre Q , and radius QP , describe a second circle intersecting the first at the points X and Y. Then it may be shewn , by the method of I. 1 , that PXQY is the rhombus required . 9. With centre A , and radius equal ...
Other editions - View all
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H S 1848-1934 Hall No preview available - 2018 |
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H. S. Hall No preview available - 2017 |
Common terms and phrases
AB² ABCD AC² angles AP² arc AC AX² base BC BC² bisector bisects centre chord circum collinear common tangent concyclic constant cutting the given diagonals diam diameter diff draw drawn equiangular equilat fixed point given base given point given ratio given st greater half Hence identically equal inscribed intersect isosceles Join Let AB Let ABC Let AX locus middle point middle pt orthocentre par¹ parm pass pedal triangle perp plane polar produced Radical Axis radius equal rect respectively rhombus segment shewn sides Similarly solutions subtended sum of sqq tangent touch triangle vert vertex