## Elements of Geometry and Trigonometry |

### From inside the book

Page 9

A straight line is the shortest

A straight line is the shortest

**distance**from one point to another . 4. Every line which is not straight , or composed of straight lines , is a curved line . Thus , AB is a straight line ; ACDB is a broken line , or one composed of ... Page 13

... but this expression should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the

... but this expression should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the

**distance**between the points A and B. The expression Ax ( B + C - D ) represents the product of A ... Page 18

For the straight line AB is the shortest

For the straight line AB is the shortest

**distance**between the points A and B ( Def . 3. ) ; hence AC + CB is greater A. than AB . Let any point , as O , be taken within the triangle BAC , and let the lines OB , OC , be drawn to the ... Page 22

2d , Any two oblique lines , drawn on different sides of the perpendicular , cutting off equal

2d , Any two oblique lines , drawn on different sides of the perpendicular , cutting off equal

**distances**on the other line , will be equal . 3d , Of two oblique lines , drawn at pleasure , that which is farther from the perpendicular ... Page 23

The perpendicular measures the shortest

The perpendicular measures the shortest

**distance**of a point from a line . Cor . 2. From the same point to the same straight line , only two equal straight lines can be drawn ; for , if there could be more , we should have at least two ...### 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 contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole