## Elements of Geometry |

### From inside the book

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Page vi

... entitled the proportions of figures , contains the measure of

... 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 . We shall be found fault vi Preface . Page vii

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**surfaces**; but in this we have followed pretty nearly the example of Euclid , and this order cannot fail of being ...**surfaces**and solidities of these bodies is deter- mined by a method analogous to that of Archimedes , and found- ed ... Page xiv

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

... the multiplication of the lines B and C. The magnitudes A and B , in the proportion A : B : CD , 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

Adrien Marie Legendre. another kind , as

Adrien Marie Legendre. 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 ... Page 1

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**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 a ...### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence