## Elements of Geometry and Trigonometry |

### From inside the book

Page 30

... in the polygon : hence the sum of all the angles of the polygon is equal to two right angles , taken as many times as there are triangles in the figure ; in other words , as there are

... in the polygon : hence the sum of all the angles of the polygon is equal to two right angles , taken as many times as there are triangles in the figure ; in other words , as there are

**units**in the number of sides diminished by two . Page 34

If the other magnitude contain a certain number of those

If the other magnitude contain a certain number of those

**units**, it also may be expressed by the number of its**units**... If the second magnitude do not contain the measuring**unit**an exact number of times , there may perhaps be a smaller ... Page 53

It appears most natural to measure a quantity by a quantity of the same species ; and upon this principle it would be convenient to refer all angles to the right angle ; which , being made the

It appears most natural to measure a quantity by a quantity of the same species ; and upon this principle it would be convenient to refer all angles to the right angle ; which , being made the

**unit**of measure , an acute angle would be ... Page 69

3 cally by the number of times which the figure contains some other area , that is assumed for its measuring

3 cally by the number of times which the figure contains some other area , that is assumed for its measuring

**unit**. 9. Figures have equal areas , when they contain the same measuring**unit**an equal number of times . 10. Page 72

This product will give the number of superficial

This product will give the number of superficial

**units**in the surface ; because , for one**unit**in height , there are as many superficial**units**as there are linear**units**in the base ; for two**units**in height twice as many ; for three ...### 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