Modern Methods in Elementary GeometryMacmillan, 1868 - 112 páginas |
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Página 63
... altitude of a parallelogram is the perpendicular dis- tance of the opposite side from the base . The altitude of a triangle is the perpendicular distance of the vertex from the base . THEOREM V. The measure of a rectangle is the product ...
... altitude of a parallelogram is the perpendicular dis- tance of the opposite side from the base . The altitude of a triangle is the perpendicular distance of the vertex from the base . THEOREM V. The measure of a rectangle is the product ...
Página 64
... altitude . F D E A B Let ABCD be a parallelogram , draw BE perpendicular to AB , and complete the parallelogram ABEF . Then the parallelogram ABCD = the rectangle ABEF . Therefore its measure = AB × BE . COR . 1. Parallelograms of the ...
... altitude . F D E A B Let ABCD be a parallelogram , draw BE perpendicular to AB , and complete the parallelogram ABEF . Then the parallelogram ABCD = the rectangle ABEF . Therefore its measure = AB × BE . COR . 1. Parallelograms of the ...
Página 65
... altitudes . THEOREM VII . The measure of a triangle is half the product of its base multiplied by its altitude . COR . 1. Triangles of the same or equal altitude are to one another as their bases . COR . 2. Triangles on the same or ...
... altitudes . THEOREM VII . The measure of a triangle is half the product of its base multiplied by its altitude . COR . 1. Triangles of the same or equal altitude are to one another as their bases . COR . 2. Triangles on the same or ...
Página 66
... altitude ) . And EC - ED + DC = AB + CD since ABDE is a par- allelogram . Therefore the measure of the trapezium = 33 · ¦ ( AB + CD ) × BP . This proposition may be applied to obtain the area of a convex polygon . The figure shews the ...
... altitude ) . And EC - ED + DC = AB + CD since ABDE is a par- allelogram . Therefore the measure of the trapezium = 33 · ¦ ( AB + CD ) × BP . This proposition may be applied to obtain the area of a convex polygon . The figure shews the ...
Página 77
... altitude For the measure of the triangle BDE : = 2 Hence if BD be taken equal to twice the unit of length . The measure of the triangle BDE : 2 x altitude = = altitude . 2 The triangle being of course expressed in superficial , and the ...
... altitude For the measure of the triangle BDE : = 2 Hence if BD be taken equal to twice the unit of length . The measure of the triangle BDE : 2 x altitude = = altitude . 2 The triangle being of course expressed in superficial , and the ...
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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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