New Elementary Geometry, with Practical ApplicationsR. S. Davis & Company, 1875 - 176 páginas |
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Página 11
... Rhombus is a rhomboid whose sides are equal ; as the rhomboid MN ОР . 23. A Trapezoid is a quadrilateral which has only two of its sides parallel ; as the quadrilateral R S T U. A Trapezium is a quadrilateral which has no two of its ...
... Rhombus is a rhomboid whose sides are equal ; as the rhomboid MN ОР . 23. A Trapezoid is a quadrilateral which has only two of its sides parallel ; as the quadrilateral R S T U. A Trapezium is a quadrilateral which has no two of its ...
Página 32
... BE , DE opposite the other equal angles are equal . 85. Scholium . In the case of a rhombus , the sides AB , BC being equal , the triangles AEB , EBC have all the sides of the one equal to the corresponding sides of 32 ELEMENTARY GEOMETRY .
... BE , DE opposite the other equal angles are equal . 85. Scholium . In the case of a rhombus , the sides AB , BC being equal , the triangles AEB , EBC have all the sides of the one equal to the corresponding sides of 32 ELEMENTARY GEOMETRY .
Página 33
... rhombus bisect each other at right angles . EXERCISES D བ A B FOR ORIGINAL THOUGHT , ON REVIEW . с 86. 1. If the opposite angles formed by four lines meeting at a point are equal , these lines form but two straight lines . 2. If the ...
... rhombus bisect each other at right angles . EXERCISES D བ A B FOR ORIGINAL THOUGHT , ON REVIEW . с 86. 1. If the opposite angles formed by four lines meeting at a point are equal , these lines form but two straight lines . 2. If the ...
Página 158
... rhombus , whose side is 12 feet , and the perpendicular distance between two opposite sides of which is 8 feet ? PROBLEM III . The area of a RECTANGLE and either of its sides being given , to find the other side . Divide the area by the ...
... rhombus , whose side is 12 feet , and the perpendicular distance between two opposite sides of which is 8 feet ? PROBLEM III . The area of a RECTANGLE and either of its sides being given , to find the other side . Divide the area by the ...
Página 159
... rhombus is 69,452 square feet , and the perpendicular distance between two of its opposite sides is 194 feet ; required the length of one of the equal sides . Ans . 358 ft . 3. On a base 12 feet in length it is required to find the ...
... rhombus is 69,452 square feet , and the perpendicular distance between two of its opposite sides is 194 feet ; required the length of one of the equal sides . Ans . 358 ft . 3. On a base 12 feet in length it is required to find the ...
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New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD ABCDEF alternate angles altitude angles A CD antecedent arc A B Arithmetics B A C base multiplied bisect circle circumference cone convex surface cylinder D E F diagonal diameter divided draw the straight Elementary Algebra equal and parallel equal angles equal bases equal Theo equiangular equivalent formed frustum given straight line greater half the sum homologous sides hypothenuse inches included angle inscribed angle inscribed circle interior angles intersection line CD magnitudes mean proportional measured by half number of sides parallelogram parallelopipedon perimeter perpendicular prism PROBLEM quadrilateral radii radius ratio rectangle rectangular regular polygon Required the area rhombus right angles Theo Scholium School secant line side A B side B C slant hight Solid sphere square described tangent THEOREM triangles A B C triangular prism vertex
Pasajes populares
Página 22 - If two triangles have two sides of the one equal to two sides of the...
Página 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Página 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 47 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 88 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.
Página 126 - The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'.
Página 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel.
Página 26 - If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line...
Página 41 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.