An Elementary Course of Plane GeometryThomas Murby, 1868 - 261 páginas |
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Página 38
... point M be not at the centre of the straight line AB , two points , a and b , must be found which are equally distant from the given point , and a similar construction made . To bisect a straight line ; that is , to 38 Plane Geometry .
... point M be not at the centre of the straight line AB , two points , a and b , must be found which are equally distant from the given point , and a similar construction made . To bisect a straight line ; that is , to 38 Plane Geometry .
Página 49
... Bisect the angle F'AC by the line AG , and join F'G . Then since A F ' = A C , the angle F'A G = CA G , and AG is common to the triangles F'A G and CA G ; therefore , F'G = GC and BC = BG + GF , and is therefore greater than B F ...
... Bisect the angle F'AC by the line AG , and join F'G . Then since A F ' = A C , the angle F'A G = CA G , and AG is common to the triangles F'A G and CA G ; therefore , F'G = GC and BC = BG + GF , and is therefore greater than B F ...
Página 62
... bisect each other . 121. For the vertically opposite triangles DOC , BOA are equal , having a side CD equal to a side A B , the alternate angles CDO , A BO , equal , and also the alternate angles D CO , BA O , equal . 122. If in a ...
... bisect each other . 121. For the vertically opposite triangles DOC , BOA are equal , having a side CD equal to a side A B , the alternate angles CDO , A BO , equal , and also the alternate angles D CO , BA O , equal . 122. If in a ...
Página 63
... bisect each other . To construct a parallelogram , having given two sides and the included angle . 124. Make an angle equal to the given angle , and cut from its sides lengths equal to the two given sides . Through the extremities draw ...
... bisect each other . To construct a parallelogram , having given two sides and the included angle . 124. Make an angle equal to the given angle , and cut from its sides lengths equal to the two given sides . Through the extremities draw ...
Página 66
... bisect each other , a circle described from the centre , with half a diagonal as radius , will pass through all the angles ( fig . 108 a ) . Fig . 108 a . A rectangle has two axes of symmetry parallel to its sides . 131. Lines drawn ...
... bisect each other , a circle described from the centre , with half a diagonal as radius , will pass through all the angles ( fig . 108 a ) . Fig . 108 a . A rectangle has two axes of symmetry parallel to its sides . 131. Lines drawn ...
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.