An Elementary Course of Plane GeometryThomas Murby, 1868 - 261 páginas |
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Página 11
... sides of an angle are produced they form another angle , which has the same vertex , but is on the opposite side of it . This angle is therefore said to be vertically opposite to the first . When two straight lines cut one another , the ...
... sides of an angle are produced they form another angle , which has the same vertex , but is on the opposite side of it . This angle is therefore said to be vertically opposite to the first . When two straight lines cut one another , the ...
Página 16
... opposite sides of the axis of symmetry are equal , for they coincide . The midrib of a leaf of ivy or holly is a symmetrical axis . To draw a perpendicular with the square . 31. The square , so named because it is shaped like the letter ...
... opposite sides of the axis of symmetry are equal , for they coincide . The midrib of a leaf of ivy or holly is a symmetrical axis . To draw a perpendicular with the square . 31. The square , so named because it is shaped like the letter ...
Página 23
... sides of the given angle , and the blade is opened or shut until its edge ... sides of the cupboard is first measured by the instrument , and the shelf cut ... opposite angles are equal . 9. Show how to form a square angle . Show how to ...
... sides of the given angle , and the blade is opened or shut until its edge ... sides of the cupboard is first measured by the instrument , and the shelf cut ... opposite angles are equal . 9. Show how to form a square angle . Show how to ...
Página 24
... opposite angles are in the same straight line . 4. From a given point on a ... side of a field by means of a cord ? 7. There are two roads connecting two villages ... sides of a line E F are joined with a point C in EF . Prove that the ...
... opposite angles are in the same straight line . 4. From a given point on a ... side of a field by means of a cord ? 7. There are two roads connecting two villages ... sides of a line E F are joined with a point C in EF . Prove that the ...
Página 33
... sides of the hole . Fig . 50 . This instrument is constructed in such a manner that the two points , A and B , of ... opposite angles ; and since the distances from the points to the centre are equal , it follows that the distance between the ...
... sides of the hole . Fig . 50 . This instrument is constructed in such a manner that the two points , A and B , of ... opposite angles ; and since the distances from the points to the centre are equal , it follows that the distance between the ...
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.