## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 27

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

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**parallelogram**, the opposite sides and angles are equal . 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 ; and since AD ... Page 33

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**parallelogram**. Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ; then will the figure be a**parallelogram**. A D B For , draw the diagonal DB , dividing the quadrilateral into two triangles . Then , since ... Page 62

... there would be but one solution . 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

... there would be but one solution . 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

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**parallelogram**. Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the point D ...**parallelogram**required . E For , the opposite sides are equal , by construction ; hence the figure is a ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex