Modern Methods in Elementary GeometryMacmillan, 1868 - 112 páginas |
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Página 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 ...
Página 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.
Página 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 ...
Página 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 ...
Página 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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Términos y frases comunes
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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