Elementary and Constructional Geometry |
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Page 79
... mould triangles and all plane figures of geometry almost as easily as if the figures were made of elastic or of clay . For instance , sup- pose that two triangles , ABC and BDE of Fig . 60 , ) are of the same height , and are standing ...
... mould triangles and all plane figures of geometry almost as easily as if the figures were made of elastic or of clay . For instance , sup- pose that two triangles , ABC and BDE of Fig . 60 , ) are of the same height , and are standing ...
Page 81
... mould it into a right tri- angle . 411. Can you reverse the process of 406 , and mould a tri- angle ADR ( Fig . 62 ) into a quadrilateral ABCD ? Sug- gestion : Choose any point between A and R for B , and draw DB as a guide line , to ...
... mould it into a right tri- angle . 411. Can you reverse the process of 406 , and mould a tri- angle ADR ( Fig . 62 ) into a quadrilateral ABCD ? Sug- gestion : Choose any point between A and R for B , and draw DB as a guide line , to ...
Page 90
... Mould the rectangle thus formed into a square form . 453. Find a square three times as large as a given square . Find a square five times as large as a given square . 454. Cut a square into five equal rectangular strips , find- ing of ...
... Mould the rectangle thus formed into a square form . 453. Find a square three times as large as a given square . Find a square five times as large as a given square . 454. Cut a square into five equal rectangular strips , find- ing of ...
Page 131
... mould triangular pyramids with even more freedom than you can mould triangles . 659. By moulding triangles you can change a polygon into an equivalent triangle . In the same way , by moulding A D triangular pyramids you can change a ...
... mould triangular pyramids with even more freedom than you can mould triangles . 659. By moulding triangles you can change a polygon into an equivalent triangle . In the same way , by moulding A D triangular pyramids you can change a ...
Page 132
... mould each pyramid into its equivalent tri- angular pyramid . 661. Can you mould two triangular pyramids of the same height , but with different bases , into one triangular pyra- mid ? 662. Review the method by which you lowered the ver ...
... mould each pyramid into its equivalent tri- angular pyramid . 661. Can you mould two triangular pyramids of the same height , but with different bases , into one triangular pyra- mid ? 662. Review the method by which you lowered the ver ...
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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