Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 34
... touch BC in one point , and the triangle will have a right angle . Thirdly . If the given side be greater than the perpendi- cular from A to BC , the arc will meet BC in two points , as C and D. We must now further distinguish two cases ...
... touch BC in one point , and the triangle will have a right angle . Thirdly . If the given side be greater than the perpendi- cular from A to BC , the arc will meet BC in two points , as C and D. We must now further distinguish two cases ...
Σελίδα 41
... touch it . THEOREM VI . The straight line AB drawn at right angles to the radius OA from its extremity A is a tangent to the circle at A. For the perpendicular OA is shorter than any other line OC that can be drawn from 0 to A. Hence ...
... touch it . THEOREM VI . The straight line AB drawn at right angles to the radius OA from its extremity A is a tangent to the circle at A. For the perpendicular OA is shorter than any other line OC that can be drawn from 0 to A. Hence ...
Σελίδα 42
... touch in more than one . 0 0 For every point on the circumference of I is equally dis- tant from the centre I. But only two equal straight lines can be drawn from I to the circumference of 0 . [ II . 3. Cor . Therefore the circumference ...
... touch in more than one . 0 0 For every point on the circumference of I is equally dis- tant from the centre I. But only two equal straight lines can be drawn from I to the circumference of 0 . [ II . 3. Cor . Therefore the circumference ...
Σελίδα 43
... touch each other they have a common . tangent at the point of contact . B A 0 -I If one circle touch the other internally the tangent to the outer circle is obviously the tangent to the inner . If the circles touch externally let AB be ...
... touch each other they have a common . tangent at the point of contact . B A 0 -I If one circle touch the other internally the tangent to the outer circle is obviously the tangent to the inner . If the circles touch externally let AB be ...
Σελίδα 44
... touch one another , the straight line joining their centres must pass through the point of contact . For the centre of either circle must lie on the normal at the point of contact . Arcs and Angles . THEOREM X. In equal circles or in ...
... touch one another , the straight line joining their centres must pass through the point of contact . For the centre of either circle must lie on the normal at the point of contact . Arcs and Angles . THEOREM X. In equal circles or in ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
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