## Elements of Geometry and Trigonometry |

### From inside the book

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Page 10

Two lines are said to be

Two lines are said to be

**parallel**, when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 13. A plane figure is a plane terminated on all sides by lines . Page 11

The parallelogram , or rhomboid , which has its opposite sides

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 13

10. All right angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12. Through the same point , only one straight line can be drawn which shall be

10. All right angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12. Through the same point , only one straight line can be drawn which shall be

**parallel**to a given line . 13. Page 25

If two straight lines are perpendicular to a third line , they will be

If two straight lines are perpendicular to a third line , they will be

**parallel**to each other : in other words , they will never meet , how far soever either way , both of them be produced . Let the two lines AC , BD , A be ... Page 26

When two

When two

**parallel**straight lines AB , CD , are met by a third line FE , the angles which are formed take particular names . Interior angles on the same side , are those which lie within the**parallels**, and on the same side of the secant ...### What people are saying - Write a review

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### Other editions - View all

Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### 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 produced 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