## Elements of Geometry and Trigonometry |

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Page 9

The

The

**extremities**of a line are called points : a point , therefore , 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

Let any point , as O , be taken within the triangle BAC , and let the lines OB , OC , be drawn to the

Let any point , as O , be taken within the triangle BAC , and let the lines OB , OC , be drawn to the

**extremities**of either side , as BC ; then will OB + OC < BA + AC . PROPOSITION VIII . THEOREM . If from any point within a triangle ... 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 distant from those**extremities**. Let AB be the given straight line , C the 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 Secondly , Let I be a point out of the perpendicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ; from which ... 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.### 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