## Elements of Geometry |

### From inside the book

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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 called a rectilineal**figure**, or polygon ( fig . 6 ) , and the lines taken together make the perimeter of the polygon . 14 ... Page 3

... or 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

... or 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. Page 4

Adrien Marie Legendre. PART FIRST . OF PLANE

Adrien Marie Legendre. PART FIRST . OF PLANE

**FIGURES**. • SECTION FIRST . First Principles , or the Properties of Perpendicular , Oblique , and Parallel Lines . THEOREM . 27. ALL right angles are equal . Demonstration . Let the straight ...### 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 convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent 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 pyramid S-ABC 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