An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 páginas |
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Página 16
... corresponding lines on 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 . We shall frequently have occasion to prove the equality of lines in a symmetrical ...
... corresponding lines on 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 . We shall frequently have occasion to prove the equality of lines in a symmetrical ...
Página 27
... corresponding circumference of the part left . If the disc be made to turn in the hole , its edge every- where touches that of the paper ; the same takes place when the disc is fixed , and the paper is turned round it , and therefore ...
... corresponding circumference of the part left . If the disc be made to turn in the hole , its edge every- where touches that of the paper ; the same takes place when the disc is fixed , and the paper is turned round it , and therefore ...
Página 34
... corresponds to 4 lines , its diameter is then between 4 and 5 lines , and is said to be 5 lines bare , or 4 lines full . Fig . 51 . The diameter is a symmetrical axis of the circle , and divides the circumference into two equal arcs of ...
... corresponds to 4 lines , its diameter is then between 4 and 5 lines , and is said to be 5 lines bare , or 4 lines full . Fig . 51 . The diameter is a symmetrical axis of the circle , and divides the circumference into two equal arcs of ...
Página 37
... corresponding to the num- ber of degrees given ; then , Fig . 56 . taking away the protractor , join the point b to the point O ; BOA will be the angle required . To take , either upon the same circumference , or Plane Geometry . 37.
... corresponding to the num- ber of degrees given ; then , Fig . 56 . taking away the protractor , join the point b to the point O ; BOA will be the angle required . To take , either upon the same circumference , or Plane Geometry . 37.
Página 33
... corresponds to 4 lines , its diameter is then between 4 and 5 lines , and is said to be 5 lines bare , or 4 lines full . Fig . 51 . The diameter is a symmetrical axis of the circle , and divides the circumference into two equal arcs of ...
... corresponds to 4 lines , its diameter is then between 4 and 5 lines , and is said to be 5 lines bare , or 4 lines full . Fig . 51 . The diameter is a symmetrical axis of the circle , and divides the circumference into two equal arcs of ...
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 bisect centre centre of symmetry chord circumscribed coincide construction contained cumference decagon describe a circle diagonals diameter dicular distance divide dodecagon draw a straight equal arcs equal circles equilateral triangle extremities figure Find the area Geometry given angle given circle given point given polygon given radius given straight line greater half height Hence hexagon hypothenuse inscribed inscribed angle instrument interior angles isosceles triangle length line drawn line joining line parallel measure middle point number of sides opposite angles opposite sides parallel straight lines parallelogram pentagon perimeter perpen perpendicular plane Plane Geometry point of contact point of intersection proportional protractor Prove quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right-angled triangle ruler secant segments similar square symmetrical axis tangent vertical
Pasajes populares
Página 33 - Any two sides of a triangle are together greater than the third side.
Página 266 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Página vi - In my own time," says Seneca, "there have been inventions of this sort, transparent windows, tubes for diffusing warmth equally through all parts of a building, short-hand, which has been carried to such a perfection that a writer can keep pace with the most rapid speaker. But the inventing of such things is drudgery for the lowest slaves; philosophy lies deeper. It is not her office to teach men how to use their hands.
Página 59 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Página 146 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Página 153 - Describe a circle which shall pass through two given points, and have its centre in a given line.
Página 68 - 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 86 - If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts.
Página 264 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Página 11 - I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl.