## Elements of Geometry and Trigonometry |

### From inside the book

Page 3

The propositions of Geometry are general truths , and as such , should be stated in general terms , and without reference to particular

The propositions of Geometry are general truths , and as such , should be stated in general terms , and without reference to particular

**figures**. The method of enunciating them by the aid of particular diagrams seems to have been ... Page 5

Planes and Solid Angles , Polyedrons , 400mm The Proportions of

Planes and Solid Angles , Polyedrons , 400mm The Proportions of

**Figures**and the Measurement of Areas , - Problems relating to the Fourth Book , BOOK I. BOOK V. Regular Polygons and the Measurement of the Circle , BOOK VI . Page 10

A plane

A plane

**figure**is a plane terminated on all sides by lines , either straight or curved . If the lines are straight , the space they enclose is called a rectilineal**figure**, or polygon , and the lines themselves , taken together ... Page 30

... taken as many times less two , as the

... taken as many times less two , as the

**figure**has sides . Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals p , AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is ... Page 31

that is , equal to twice as many right angles as the

that is , equal to twice as many right angles as the

**figure**has sides , wanting four right angles . Hence , the interior angles plus four right f F 림 angles , is equal to twice as many right angles BOOK I. 31.### 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