## Euclidian Geometry |

### From inside the book

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Page 104

... can be drawn through A so as not to cut the . DEFINITION . A straight line which meets a circle and which , if produced , will not cut it , is said to

... can be drawn through A so as not to cut the . DEFINITION . A straight line which meets a circle and which , if produced , will not cut it , is said to

**touch**the circle . Conversely : If a straight line**touch**a circle the 104 TANGENTS . Page 105

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**touching**the circle , and that straight line is to the radius . Also , If a straight line**touch**a circle the perpendicular to the tangent drawn from the point of contact shall pass through the centre . For from the point of contact only ... Page 106

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**touch**the given circle . · . · CQ = QT , 4 .. 4 QCT = 4QTC ; ( 1.2 ) so also QHT = ¿ QTH ; .. LS QCT , QHT are together which is ... a right 4 . the whole CTH ; ( I. 24 ) .. HT touches the circle RST . ( 111. 6 ) PROBLEM C. Between two ... Page 109

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**touch**one another when they are in contact , and one is entirely within or entirely without the other . PROPOSITION IX . One circle cannot**touch**another in more CONTACT OF CIRCLES . 109. Page 110

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**touch**another © ABF externally in the points A , B. Then the straight line joining A , B must be within each of the circles ; ( III . 1 ) which is impossible , since each falls entirely without the other . Hence , one circle cannot**touch**...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole