## Elements of Geometry |

### From inside the book

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

... ; therefore ( 43 ) the angle B is equal to the angle C. 46. Corollary . An

... ; therefore ( 43 ) the angle B is equal to the angle C. 46. Corollary . An

**equilateral**triangle is also equiangular ; that is , it has its angles equal . GEOH 2 Fig . 29 . - 47. Scholium . From the Of Perpendicular and Oblique Lines . 9. Page 15

... . 61. Corollary IV . In a right - angled triangle , the sum of the acute angles is equal to a right angle . 62 Corollary v An

... . 61. Corollary IV . In a right - angled triangle , the sum of the acute angles is equal to a right angle . 62 Corollary v An

**equilateral**triangle , as it must be al- Fig . 42 . 12 G so equiangular ( 45 Of Parallel Lines . 15. Page 16

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**equilateral**triangle will be expressed by 2 . 63. Corollary vi . In any triangle ABC , if we produce the side AB toward D , the exterior angle CBD will be equal to the sum of the two opposite interior angles A and C ; for , by adding to ...### 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