## Elements of Geometry |

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Page vi

The third section , entitled the proportions of figures , contains the measure of

The third section , entitled the proportions of figures , contains the measure of

**surfaces**, their comparison , the properties of a right - angled triangle , those of equiangular triangles , of similar figures , & c . Page vii

We shall be found fault with , perhaps , for having blended the properties of lines with those of

We shall be found fault with , perhaps , for having blended the properties of lines with those of

**surfaces**; but in this we have followed pretty nearly the example of Euclid , and this order cannot fail of being good , if the ... Page xiv

... multiplication of the lines B and C. The magnitudes A and B , in the proportion A : B :: C : D , may be of one kind , as lines , and the magnitudes C and D of > another kind , as

... multiplication of the lines B and C. The magnitudes A and B , in the proportion A : B :: C : D , may be of one kind , as lines , and the magnitudes C and D of > another kind , as

**surfaces**; still these magnitudes are xiv Introduction . Page xv

another kind , as

another kind , as

**surfaces**; still these magnitudes are always to be regarded as numbers ; A and B will be expressed in linear units , C and D in superficial units , and the product A x D will be a number , as also the product B x C. Page 1

A

A

**surface**is that which has length and breadth , without thickness . 6. A plane is a**surface**in which , any two points being taken , the straight line joining those points lies wholly in that**surface**. 7. Every**surface**which is neither ...### What people are saying - Write a review

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### Common terms and phrases

ABC fig ABCD adjacent altitude applied base called centre chord circ circle circumference circumscribed common cone consequently construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces feet figure follows formed four give given greater half hence inclination inscribed intersection isosceles join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM produced proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment similar solid angle Solution sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex vertices whence