Elementary and Constructional Geometry
Longmans, Green, 1896 - Geometry - 138 pages
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A B C D alike altitude answer base calculate called centre circle circumference Compare construction corresponding crossing Describe diagonal diameter direction distance divide draw drawn edges equal equivalent estimate experiment faces figure four Geometry give given hexagon illustrations Imagine inch inscribed isosceles triangle joining kind larger learned legs length measure method mould move obtained opposite pair parallel parallelogram parallelopiped pass piece plane position principle prism problem protractor prove pyramid quadrilateral radius reason record rectangle represented respectively rhomboid right angles right triangle Select shape sides similar solid square steps straight line strip Suggestion surface tangent third trapezoid triangle triangular turn twice vertex vertices volume width Write
Page 111 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 66 - The straight line drawn through the mid-point of one side of a triangle parallel to the base bisects the other side.
Page 55 - Two triangles are congruent if the three sides of one are equal to the three sides of the other. Fig.
Page 49 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Page 91 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Page 100 - The square root of a number is one of the two equal factors of the number.
Page 115 - In general, any rectilinear figure, as ABC, is said to be inscribed in a circle, when its angular points are on the circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BA C is inscribed in the segment BAC.
Page 86 - ABCD tends to become a parallelogram, having a base equal to ^ the circumference and an altitude equal to the radius.
Page 44 - If two lines form a right angle, they are said to be perpendicular to each other ; if they form any other angle, they are said to be oblique to each other. Abbreviation: The sign _L means "perpendicular.