Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 51
... touch a circle in the point B , and from B BA be drawn cutting the circle , the angle ABE shall be equal to the angle upon the arc ADB , and the angle ABF to that upon the arc ACB . B D ΔΕ Draw the normal BC , which will pass through ...
... touch a circle in the point B , and from B BA be drawn cutting the circle , the angle ABE shall be equal to the angle upon the arc ADB , and the angle ABF to that upon the arc ACB . B D ΔΕ Draw the normal BC , which will pass through ...
Σελίδα 53
... touch , or enclose another ? 9. A circle being given , how many circles of the same radius will enclose it ? 10. Through a given internal point to draw the shortest possible chord . 11. If two circumferences intersect and parallel ...
... touch , or enclose another ? 9. A circle being given , how many circles of the same radius will enclose it ? 10. Through a given internal point to draw the shortest possible chord . 11. If two circumferences intersect and parallel ...
Σελίδα 54
... touch each other and secants be drawn through the point of contact , the lines joining their extremi- ties are parallel . 21. AB is the diameter of a circle , AC , any chord , is produced to M so that CM is equal to CB . What is the ...
... touch each other and secants be drawn through the point of contact , the lines joining their extremi- ties are parallel . 21. AB is the diameter of a circle , AC , any chord , is produced to M so that CM is equal to CB . What is the ...
Σελίδα 55
... touch one another , and draw another circumference touch- ing all three . Two cases . 6. Bisect a given arc . 7. From a given circle to cut off a segment containing an angle equal to a given angle . [ II . 16 . 8. On a given line to ...
... touch one another , and draw another circumference touch- ing all three . Two cases . 6. Bisect a given arc . 7. From a given circle to cut off a segment containing an angle equal to a given angle . [ II . 16 . 8. On a given line to ...
Σελίδα 56
... Touching two lines . 3. Touching a straight line and a circumference . 4. Touching two circumferences . 14. To draw a common tangent to two given circum- ferences . How many such tangents can be drawn ? A circle is said to be inscribed ...
... Touching two lines . 3. Touching a straight line and a circumference . 4. Touching two circumferences . 14. To draw a common tangent to two given circum- ferences . How many such tangents can be drawn ? A circle is said to be inscribed ...
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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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