## Elements of Geometry and Trigonometry |

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Page 9

The

The

**extremities**of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4. Page 18

If from any point within a triangle , two straight lines be drawn to the

If from any point within a triangle , two straight lines be drawn to the

**extremities**of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the trian- gle BAC ... Page 23

... of the perpendicular will be equally distant from the

... of the perpendicular will be equally distant from the

**extremities**of the line . 2d , Every point , without the perpendicular , will be unequally dis- tant from those**extremities**. A Let AB be the given straight line , C BOOK I. 23. Page 24

Therefore every point in the perpendicular is equally distant from the

Therefore every point in the perpendicular is equally distant from the

**extremities**A and B. E B Secondly , Let I be a point out of the perpen- dicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ... Page 41

The chord , or subtense of an arc , is the straight line FG , which joins its two

The chord , or subtense of an arc , is the straight line FG , which joins its two

**extremities**. † 4. A segment is the surface or portion of a circle , included between an arc and its chord . 5. A sector is the part of the circle ...### 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