An Elementary Course of Plane GeometryThomas Murray, 1870 - 16 páginas |
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Página ix
... Axis of Symmetry.- T Square . Water - level . - Propositions on Perpendiculars and Obliques . - Mason's Level . - Bevel . CHAP . III . - Circles • - Definitions of Circumference , Centre , Radius , Diameter . - Construc- tion of Circles ...
... Axis of Symmetry.- T Square . Water - level . - Propositions on Perpendiculars and Obliques . - Mason's Level . - Bevel . CHAP . III . - Circles • - Definitions of Circumference , Centre , Radius , Diameter . - Construc- tion of Circles ...
Página x
... Axes of Polygons . - Auxiliary Curve . - Graduation of Circles . - Grapho- meter . - Polygons in Art . - Mosaics . - The Involute to the Circle.- Lengths of sides of inscribed and circumscribed Polygons . - Star Polygons , constructed ...
... Axes of Polygons . - Auxiliary Curve . - Graduation of Circles . - Grapho- meter . - Polygons in Art . - Mosaics . - The Involute to the Circle.- Lengths of sides of inscribed and circumscribed Polygons . - Star Polygons , constructed ...
Página 15
... axis , or line of symmetry of the whole figure ; and the two parts of the figure are said to be symme- trical with res- pect to this axis . If per- pendiculars be drawn from a point in the symmetrical axis , and con- tinued to meet both ...
... axis , or line of symmetry of the whole figure ; and the two parts of the figure are said to be symme- trical with res- pect to this axis . If per- pendiculars be drawn from a point in the symmetrical axis , and con- tinued to meet both ...
Página 16
... axis . It is evident that 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 ...
... axis . It is evident that 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 ...
Página 23
... axis , like a pair of compasses , so as to form an angle of any size . The interior or exterior edge of the ་ Fig . 37 . stock is applied to one of the sides of the given angle , and the blade is opened or shut until its edge lies upon ...
... axis , like a pair of compasses , so as to form an angle of any size . The interior or exterior edge of the ་ Fig . 37 . stock is applied to one of the sides of the given angle , and the blade is opened or shut until its edge lies upon ...
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.