## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 58

Page 9

The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. ... Every line which is not straight , or composed of

The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. ... Every line which is not straight , or composed of

**straight lines**, is a curved line . Page 10

When two

When two

**straight lines**, AB , AC , meet each other , their inclination or opening is call- ed an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ... Page 13

A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the ... Through the same point , only one

A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the ... Through the same point , only one

**straight line**can be drawn which shall be parallel to a given line . Page 14

If one

If one

**straight line**meet another**straight line**, the sum of the two adjacent angles will be equal to two right angles . Let the**straight line**DC meet the**straight line**AB at C , then will the angle ACD + the angle DCB , be equal to two ... Page 15

pose , however , that on being produced , these lines begin to separate at C , the one becoming CD , the other CE . From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a

pose , however , that on being produced , these lines begin to separate at C , the one becoming CD , the other CE . From the point C draw the line CF , making with AC the right angle ACF . Now , since ACD is a

**straight line**, the angle ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### 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 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