## Elements of Geometry |

### From inside the book

Results 6-10 of 64

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**side**BF BA ; therefore the triangles are equal ( 36 ) , and the angle BCF - BCA . But BCA is , by hypothesis , a ...**BC**, BE , from it , are equal to one another ; 3. Of any two oblique lines AC , AD , or AE , AD , that which is ... Page 12

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**BC**, then , as AB is common to the two triangles ABE , ABC , and the right angle ABE ABC , the triangle ABE is equal to the triangle ABC , and AE = AC . 3. In the triangle DFA , the sum of the**sides**AD , DF , is greater than the sum of ... Page 13

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**side BC**be equal to the third side EF . If it be possible , let these sides be unequal , and let BC be the greater . Take BG = EF , and join AG ; then the triangle ABG is equal to the triangle DEF , for the right angle B is equal to the ... Page 21

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**side**and the two adjacent angles of the one equal to a**side**and the two adjacent angles of the other , each to each ...**BC**, the angle ADB = DBC ( 76 ) , and on account of the parallels AB , CD , the angle ABD = BDC ; therefore the ... Page 22

... side AB opposite to ADB is equal to the side DC opposite to the equal angle DBC , and likewise the third side AD is equal to the third

... side AB opposite to ADB is equal to the side DC opposite to the equal angle DBC , and likewise the third side AD is equal to the third

**side BC**;. there- fore the opposite sides of a parallelogram are equal . Again , from the equality of ...### 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