Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side 104
... touch the circle . Conversely : If a straight line touch a circle the 104 TANGENTS . I ...
... touch the circle . Conversely : If a straight line touch a circle the 104 TANGENTS . I ...
Side 105
... 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 ...
... 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 ...
Side 106
... touch the given circle . ··· CQ = QT , .. 4 QCT = L QTC ; ( 1.2 ) so also QHT = △ QTH ; .. LS QCT , QHT are together the whole CTH ; which is ... a right 4 . ( 1. 24 ) .. HT touches the circle RST . ( 111. 6 ) PROBLEM C. Between two ...
... touch the given circle . ··· CQ = QT , .. 4 QCT = L QTC ; ( 1.2 ) so also QHT = △ QTH ; .. LS QCT , QHT are together the whole CTH ; which is ... a right 4 . ( 1. 24 ) .. HT touches the circle RST . ( 111. 6 ) PROBLEM C. Between two ...
Side 109
... 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.
... 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.
Side 110
... touch another ABF externally in the points A , B. Then the straight line joining A , B must be within each of the circles ; ( III . I ) which is impossible , since each falls entirely without the other . Hence , one circle cannot touch ...
... touch another ABF externally in the points A , B. Then the straight line joining A , B must be within each of the circles ; ( III . I ) which is impossible , since each falls entirely without the other . Hence , one circle cannot touch ...
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Algebra base BEGINNERS Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle John's College Latin Let ABC line bisecting locus magnitudes Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane PROBLEM produced Professor proportional PROPOSITION radius ratio rect rectangle rectangle contained rectilineal figure regular polygon render respectively revised rhombus right angles Schools Second Edition segment Similarly squares on AC straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares Uppingham School vertex
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Side 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
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