An Elementary Course of Plane GeometryThomas Murby, 1868 - 261 páginas |
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Página 1
... curve ( fig . 2 ) ; so that telegraph wires , cables of ships , and towing lines , although stretched , do not form straight lines ; and , in fact , the finest thread , Fig . 1 . Fig . 2 . when stretched as in fig . 1 , is not exactly ...
... curve ( fig . 2 ) ; so that telegraph wires , cables of ships , and towing lines , although stretched , do not form straight lines ; and , in fact , the finest thread , Fig . 1 . Fig . 2 . when stretched as in fig . 1 , is not exactly ...
Página 15
... curve , every point in which fulfils a given condition . This perpendicular is the symmetrical axis of the straight line . 30. It is convenient at this point to consider what is meant by symmetrical figure and symmetrical axis . Draw ...
... curve , every point in which fulfils a given condition . This perpendicular is the symmetrical axis of the straight line . 30. It is convenient at this point to consider what is meant by symmetrical figure and symmetrical axis . Draw ...
Página 32
... curve ( fig . 48 ) . The diameter is the greatest chord in a circle . Ө Fig . 49 . 56. For , take a chord , AB ( fig . 49 ) , B and join its extremities to the centre of the circle . It is easily seen that A B , which is a straight line ...
... curve ( fig . 48 ) . The diameter is the greatest chord in a circle . Ө Fig . 49 . 56. For , take a chord , AB ( fig . 49 ) , B and join its extremities to the centre of the circle . It is easily seen that A B , which is a straight line ...
Página 123
... curve in which every dia- meter is a line of symmetry , for the demonstration of this property depends upon the equality of the lines which join the centre to the extremities of the chord ; that is , of the radii ( § 59 ) . Hence the ...
... curve in which every dia- meter is a line of symmetry , for the demonstration of this property depends upon the equality of the lines which join the centre to the extremities of the chord ; that is , of the radii ( § 59 ) . Hence the ...
Página 137
... centre on a chord bisects the chord and the arc it subtends . 4. Prove that the circle is the only curve in which every diameter is a symmetrical axis . 5. Describe the curved spirit - level , and show. Plane Geometry . 137.
... centre on a chord bisects the chord and the arc it subtends . 4. Prove that the circle is the only curve in which every diameter is a symmetrical axis . 5. Describe the curved spirit - level , and show. Plane Geometry . 137.
Otras ediciones - Ver todas
An Elementary Course of Plane Geometry and Mensuration Richard Wormell Sin vista previa disponible - 2015 |
Términos y frases comunes
A B C adjacent angles alternate angles angle equal angular points apex base bisecting centre centre of symmetry chord circumscribed coincide compasses construction decagon describe a circle describe a circumference diagonals diameter dicular distance divide dodecagon draw a straight equilateral triangle extremities figure Find the area Geometry given angle given circle given point given polygon given radius given straight line half height Hence hexagon hypothenuse inscribed angle instrument intercepted isosceles triangle line drawn line joining line parallel measure middle point number of degrees number of sides octagon opposite angles opposite sides parallel lines parallel straight lines parallelogram pentagon perimeter perpen perpendicular plane point of contact point of intersection proportional Prove quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right-angled triangle ruler secant segments similar similar triangles square symmetrical axis tangent touch vertical yards
Pasajes populares
Página 55 - ... parallel to the first. 75. No two straight lines drawn from the extremities of the base of a triangle to the opposite sides can possibly bisect each other. 76. If the opposite sides of a quadrilateral are equal it is a parallelogram. 77. If the opposite angles of a quadrilateral are equal it is a parallelogram. 78. The diagonals of a parallelogram bisect each other. 79. If the diagonals of a quadrilateral bisect each other it is a parallelogram. 80. If the straight line joining two opposite angles...
Página 151 - Describe a circle which shall pass through two given points, and have its centre in a given line.
Página 66 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Página 90 - There are two columns in the ruins of Persepolis, left standing upright ; one is 70 feet above the plane, and the other 50...
Página 5 - I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl.
Página 77 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 90 - May-pole, whose top was broken off" by a blast of wind, struck the ground at the distance of 15 feet from the foot of the pole ; what was the height of the whole May-pole, supposing the length of the broken piece to be 39 feet ?
Página 44 - S.SO. 1. Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.