## Elements of Geometry |

### From inside the book

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Page vi

... the proportions of figures , contains the measure of surfaces , their comparison , the properties of a right - angled triangle , those of

... 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 3

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**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 , and placed in the same order , that is , when by proceeding ... Page 9

... ) the angle B is equal to the angle C. 46. Corollary . An equilateral triangle is also

... ) 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

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**equiangular**. 75. Corollary III . In a triangle there can be only one right angle ; for if there were two , the third angle must be nothing ; still less then can a triangle have more than one obtuse angle . 76. Corollary IV . In every ... Page 19

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**equiangular**, each angle is equal to a fifth of six right angles , org of one right angle . . 82. Corollary III . The sum of the angles of a hexagon is equal to 2 × ( 6—2 ) , or 8 , right angles ; therefore , in an**equi- angular**hexagon ...### 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