## An Elementary Geometry |

### From inside the book

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**Parallelogram**is a quadrilateral whose opposite sides . are parallel ; as IJ KL , or MNOP , or QRST , or U V W X. 57. A Rectangle is a right - angled parallel- ogram ; as IJ KL . Ι . J L K M N 58. A Square is an equilateral rectangle ... Page 18

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**parallelogram**are equal to each other . Let ABCD be a**parallelogram**; then will A B D C , B C = AD , the angle AC , and B = D. Draw the diagonal BD . As BC and A B C AD are parallel , the alternate angles CBD and BDA are equal ( 17 ) ... Page 19

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**parallelogram**, G H = BA ( 62 ) ; therefore FHBA A E = therefore A EFH is a**parallelogram**( 65 ) , and E F is parallel to AD , and therefore also to BC . 2d . EF = ( AD + BC ) For as A EFH and EBGF are**parallelograms**EFAHAD + DH and ... Page 21

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**parallelogram**? Is a**parallelogram**a square ? No. улам 18. Is a rectangle a**parallelogram**? Is a**parallelogram**a rectangle ? No. 19. How many sides equal to one another can there be in a trapezoid ? How many in a trapezium ? 20. How ... Page 23

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**parallelogram**. 84. ( Converse of 63. ) If a diagonal divides a quadrilateral into two equal triangles , is the figure necessarily a**parallelogram**? 85. The diagonals of a**parallelogram**bisect each other . 86. ( Converse of 85. ) If the ...### Other editions - View all

### Common terms and phrases

A B C A B D ABCD adjacent adjacent angles altitude angle ABC apothem base and altitude centre chord circ circumference cone construct the triangle convex surface Corollary cylinder diagonals diameter distance divided dodecagon equal altitudes equally distant equilateral feet frustum given angle given circle given line given point given side half the arc hexagon homologous sides hypothenuse included angle infinite number inscribed internal angles intersection isosceles triangle Let ABCDEF line joining lines A B measured by half mutually equiangular number of sides opposite sides parallelogram parallelopiped perimeter perpendicular plane parallel quadrilateral radii radius ratio rectangle regular polygon respectively equal rhombus right angles right prism right pyramid right triangle Scholium secant segment similar triangles slant height sphere tangent THEOREM VII trapezoid triangle ABC triangles are equal vertex