An Elementary Course of Plane GeometryThomas Murby, 1868 - 261 páginas |
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Página 29
... divide this by the number of seconds in the given arc , the quotient will show how many times the circumference contains the given arc . Take , for example , an arc of 2 ° 48 ′ 45 " , or 10,125 " ; divide 1,296,000 by 10,125 ; the ...
... divide this by the number of seconds in the given arc , the quotient will show how many times the circumference contains the given arc . Take , for example , an arc of 2 ° 48 ′ 45 " , or 10,125 " ; divide 1,296,000 by 10,125 ; the ...
Página 30
... dividing 360 by the given number of degrees . Thus a circumference contains an arc of 15 ° exactly 24 times . Ratios . 51. The number of times one magnitude is con- tained in another of the same kind , is termed the ratio of the first ...
... dividing 360 by the given number of degrees . Thus a circumference contains an arc of 15 ° exactly 24 times . Ratios . 51. The number of times one magnitude is con- tained in another of the same kind , is termed the ratio of the first ...
Página 34
... divides the circumference into two equal arcs of 180 ° each . 59. If one of the parts be turned round upon the diameter , as upon a hinge , the two arcs must cover one another , for every point is at the same. 34 Plane Geometry .
... divides the circumference into two equal arcs of 180 ° each . 59. If one of the parts be turned round upon the diameter , as upon a hinge , the two arcs must cover one another , for every point is at the same. 34 Plane Geometry .
Página 39
Richard Wormell. To bisect a straight line ; that is , to divide it into two equal parts . 67. Let A B be the straight line ( fig . 59 ) , with the points A and B as centres , and with the same radius , greater than half of A B ...
Richard Wormell. To bisect a straight line ; that is , to divide it into two equal parts . 67. Let A B be the straight line ( fig . 59 ) , with the points A and B as centres , and with the same radius , greater than half of A B ...
Página 77
... divides it into two equal parts ( fig . 123 ) . 145. From this it follows that- Triangles on the same or equal bases and of the same height are equivalent ( fig . 124 ) . A A ' B Fig . 124 . To construct a rectangle equal to a given ...
... divides it into two equal parts ( fig . 123 ) . 145. From this it follows that- Triangles on the same or equal bases and of the same height are equivalent ( fig . 124 ) . A A ' B Fig . 124 . To construct a rectangle equal to a given ...
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.