An Elementary Course of Plane GeometryThomas Murby, 1868 - 261 páginas |
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Página v
... given straight lines a part equal to the less . Euclid draws line after line and circle after circle to solve this problem , which is solved in prac- tice by applying the less to the greater . 6. The doctrine of proportion , one of the ...
... given straight lines a part equal to the less . Euclid draws line after line and circle after circle to solve this problem , which is solved in prac- tice by applying the less to the greater . 6. The doctrine of proportion , one of the ...
Página 5
... a straight line , this line will be shorter than any curved line ( fig . 8a ) or Fig . 8 b . any bent line ( fig . 86 ) connecting the same points . The measurement of lines . 12. When two straight lines are given , we may find which is ...
... a straight line , this line will be shorter than any curved line ( fig . 8a ) or Fig . 8 b . any bent line ( fig . 86 ) connecting the same points . The measurement of lines . 12. When two straight lines are given , we may find which is ...
Página 15
... straight line . A geometrical locus is a line or 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 ...
... straight line . A geometrical locus is a line or 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 ...
Página 16
... line and a vertical line which in- tersect are at right - angles to each other . 32. From a given point in space any number of distinct lines may be drawn , but only one of these has sus- the direction of a plumb - line pended from 10 Plane ...
... line and a vertical line which in- tersect are at right - angles to each other . 32. From a given point in space any number of distinct lines may be drawn , but only one of these has sus- the direction of a plumb - line pended from 10 Plane ...
Página 19
... lines and conse- quent application of the square . It is also used in a special manner in drawing architectural plans and geometrical diagrams , of which more hereafter . Every oblique line drawn from a given point to a given straight line ...
... lines and conse- quent application of the square . It is also used in a special manner in drawing architectural plans and geometrical diagrams , of which more hereafter . Every oblique line drawn from a given point to a given straight line ...
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.