## Elements of Geometry and Trigonometry |

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Page 11

The

The

**parallelogram**, or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its angles right angles . And lastly , the trapezoid , only two of whose sides are parallel ... Page 32

In every

In every

**parallelogram**, the opposite sides and angles are equal . - D Let ABCD be a**parallelogram**: then will AB = DC , AD = BC , A = C , and ADC = ABC . For , draw the diagonal BD . The triangles ABD , DBC , have a common side BD ... Page 33

For a like reason AB is parallel to CD therefore the quadrilateral ABCD is a

For a like reason AB is parallel to CD therefore the quadrilateral ABCD is a

**parallelogram**. PROPOSITION XXX . THEOREM . If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and ... Page 62

The problem would be impossible in all cases , if the side B were less than the perpen- dicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a

The problem would be impossible in all cases , if the side B were less than the perpen- dicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a

**parallelogram**, 62 GEOMETRY . Page 63

The adjacent sides of a

The adjacent sides of a

**parallelogram**, with the angle which they contain , being given , to describe the**parallelogram**. Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the point D , make the angle ...### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole