## Elements of Geometry |

### From inside the book

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Page iv

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**three angles**of a triangle , concerning which the author remarks , that “ it is perhaps the most simple and the most direct that is to be found . of a purely elementary nature . We hope it will be favourably received by the lovers of ... Page vii

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**angles**. This part is very necessary for the understanding of solids , and of figures in which different planes are ...**three**round bodies , which are the sphere , the cone , and the cylinder . The measure of the surfaces and solidities ... Page 1

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**three**dimensions of ex- ension . 9. When two straight lines AB , AC , ( fig . 2 , ) meet , the quan- Fig . 2 . tity , whether greater or less , by which they depart from each other as to their position , is called an**angle**; the point ... Page 2

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**three**sides are equal , isosceles ( fig . 8 ) , when two only of its sides are equal , and scalene ( fig . 9 ) , when no ...**angles**; The trapezoid ( fig . 15 ) , which has two only of its sides parallel . 18. A diagonal is a line which ... Page 5

... angles ACE , ECD ; therefore ACD + BCD is the sum of the

... angles ACE , ECD ; therefore ACD + BCD is the sum of the

**three angles**ACE , ECD , BCD . The first of these is a right angle , and the two others are together equal to a right angle ; therefore the sum of the two angles ACD , BCD , is ...### 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