Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 26
... shew that AB + BC + CA are greater than DA + DB + DC , and less than twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of the base . 5. If E ...
... shew that AB + BC + CA are greater than DA + DB + DC , and less than twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of the base . 5. If E ...
Σελίδα 27
... AD perpendicular to BC : shew that the triangles ABC , ABD are equiangular to one another . Also they have a side common , how is it that they are not congruent ? 22. If through the middle point of one side of THE STRAIGHT LINE . 27.
... AD perpendicular to BC : shew that the triangles ABC , ABD are equiangular to one another . Also they have a side common , how is it that they are not congruent ? 22. If through the middle point of one side of THE STRAIGHT LINE . 27.
Σελίδα 28
... Shew that BF , DE trisect the diagonal AC . 26. A pavement is to be formed of tiles of the same regular figure . Shew that the only figures which can be used are the equilateral triangle , the square , and the regular hexagon . 27. Shew ...
... Shew that BF , DE trisect the diagonal AC . 26. A pavement is to be formed of tiles of the same regular figure . Shew that the only figures which can be used are the equilateral triangle , the square , and the regular hexagon . 27. Shew ...
Σελίδα 53
... shew that they are equal . 5. The same if the point be without the circumference . 6. Find the longest and shortest lines that can be drawn between two given circumferences . 7. If two equal circumferences intersect at right angles ...
... shew that they are equal . 5. The same if the point be without the circumference . 6. Find the longest and shortest lines that can be drawn between two given circumferences . 7. If two equal circumferences intersect at right angles ...
Σελίδα 54
... Shew that ADB is equal to half the sum of B and C , and DBC to half their difference . 15. The lines joining the extremities of two diameters are parallel . 16. If triangles be formed by joining the extremities of intersecting chords ...
... Shew that ADB is equal to half the sum of B and C , and DBC to half their difference . 15. The lines joining the extremities of two diameters are parallel . 16. If triangles be formed by joining the extremities of intersecting chords ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC BC² bisect BROOKE FOSS WESTCOTT CA² Cambridge centre chord circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex