## Elements of Geometry |

### From inside the book

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Page iii

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**figures**and the other of solids ; and the subdivisions of each part are denominated sections . As a knowledge of algebraical signs and the theory of propor- tions is necessary to the understanding of this treatise , a brief explanation ... Page vi

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**figures**. 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 . We shall ... Page vii

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**figure**of the same perimeter . The first section of the second part contains the properties of planes and of solid angles . This part is very necessary for the understanding of solids and of**figures**in which different planes are ... Page 2

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**figure**is a plane terminated on all sides by lines . If the lines are straight , the space which they contain is Fig . 6. called a rectilineal**figure**, or polygon ( fig . 6 ) , and the lines taken together make the perimeter of the ... Page 3

... solids , are equal , when , being applied the one to the other , they coin- cide with each other entirely , that is , when they exactly fill the same space . Fig . 42 . PART FIRST . OF PLANE

... solids , are equal , when , being applied the one to the other , they coin- cide with each other entirely , that is , when they exactly fill the same space . Fig . 42 . PART FIRST . OF PLANE

**FIGURES**. SECTION FIRST . Axioms . 3.### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAD 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 and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence