## Elements of Geometry |

### From inside the book

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**equilateral**( fig . 7 ) , when the Fig , 8. three sides are equal , isosceles ( fig . 8 ) , when two only of its sides Fig . 9. are equal , and scalene ( fig . 9 ) , when no two of its sides are equal . 16. A right - angled triangle is ... Page 3

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**equilateral**polygon is one which has all its sides equal ; an equiangular polygon is one which has all its angles equal . 20. Two polygons are**equilateral**with respect to each other , when they have their sides equal , each to each ... Page 9

... the angle B is equal to the angle C. 46. Corollary . An

... the angle B is equal to the angle C. 46. Corollary . An

**equilateral**triangle is also equiangular , that is , it has its angles equal . Geom . 2 47. Scholium . From the equality of the triangles ABD Of Perpendicular and Oblique Lines , Page 18

... a right angle . 77. Corollary v . Every

... a right angle . 77. Corollary v . Every

**equilateral**triangle , as it must be also equiangular ( 45 ) , has each of its angles equal to a third of two F right angles , so that if a right angle be 18 Elements of Geometry . Page 19

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**equilateral**triangle will be expressed by . 78. Corollary vi . In every triangle ABC ( fig . 41 ) the exterior Fig . 41 , angle BAD is equal to the two opposite interior angles B and C ; for , AE being parallel to BC , the part BAE is ...### 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