Elementary and Constructional Geometry |
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Page 45
... bisect it . For our proof the actual bisecting line was not needed ( why ? ) ; but , as a matter of practical con- struction , it is important to be able to bisect an angle , and a construction problem is not looked upon as solved in ...
... bisect it . For our proof the actual bisecting line was not needed ( why ? ) ; but , as a matter of practical con- struction , it is important to be able to bisect an angle , and a construction problem is not looked upon as solved in ...
Page 46
... bisect an angle without a pro- tractor , we know also how to draw a perpendicular to a line ( see 213 ) in a new way , and how to bisect a line at the same time ( see 214 ) . Give an illustra- tion of bisecting a line by a per ...
... bisect an angle without a pro- tractor , we know also how to draw a perpendicular to a line ( see 213 ) in a new way , and how to bisect a line at the same time ( see 214 ) . Give an illustra- tion of bisecting a line by a per ...
Page 48
... bisects the vertical angle of an isosceles triangle ? 3d . If you should draw three different isosceles triangles ... Bisect and also quarter the straight angle . 245. Make an angle of 60 ° without your protractor ; then divide it ...
... bisects the vertical angle of an isosceles triangle ? 3d . If you should draw three different isosceles triangles ... Bisect and also quarter the straight angle . 245. Make an angle of 60 ° without your protractor ; then divide it ...
Page 57
... bisecting the vertical angle of an isosceles triangle . 297. If a parallelogram really cannot be drawn with its opposite sides unequal , there must be some reason for the fact based upon the nature of lines and angles , or upon ...
... bisecting the vertical angle of an isosceles triangle . 297. If a parallelogram really cannot be drawn with its opposite sides unequal , there must be some reason for the fact based upon the nature of lines and angles , or upon ...
Page 61
Edgar Hamilton Nichols. 1 2 7 3 图 6 5 4 7 5 6 1 2 3 4 diagonals bisect each other , and divide the rhomboid into CONSTRUCTIONAL GEOMETRY 61.
Edgar Hamilton Nichols. 1 2 7 3 图 6 5 4 7 5 6 1 2 3 4 diagonals bisect each other , and divide the rhomboid into CONSTRUCTIONAL GEOMETRY 61.
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Common terms and phrases
A B C ABCD altitude angle formed angles alike angles are equal angles equal answer antiparallel base angle bisect called centre chord circle circumference Compare compasses construction corresponding diagonal diameter direction distance dividing tool Draw a line edges equal triangles equivalent estimate figure Find a square Geometry give help line hexagon hypotenuse Imagine inch inscribed angle isosceles triangle legs length line A B measure method middle point mould move number of degrees oblique pair paper parallel parallelogram pentagon perpendicular piece plane polygon position principle protractor prove quadrilateral radius rectangle rectangular parallelopiped represented rhomboid rhombus right angles right triangle ruler scalene triangle Scholium shape solid square form straight angle straight line strip surface symparallel tangent three lines trapezium trapezoid triangle ABC triangular prism triangular pyramid unequal vertex vertices width
Popular passages
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