Elements of Geometry |
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Results 6-10 of 38
Page 7
... adjacent angles of the one are equal to a side and the two adjacent angles of the other , each to each . Demonstration . Let the side BC ( fig . 23 ) be equal to the side Fig . 23 . EF , the angle B equal to the angle E , and the angle ...
... adjacent angles of the one are equal to a side and the two adjacent angles of the other , each to each . Demonstration . Let the side BC ( fig . 23 ) be equal to the side Fig . 23 . EF , the angle B equal to the angle E , and the angle ...
Page 11
... adjacent angles BCA , BCF , are together equal to two right angles , ACF must be a straight line ( 33 ) ; and hence it would follow , that two straight lines ACF , ABF , might be drawn between the same two points A and F , which is ...
... adjacent angles BCA , BCF , are together equal to two right angles , ACF must be a straight line ( 33 ) ; and hence it would follow , that two straight lines ACF , ABF , might be drawn between the same two points A and F , which is ...
Page 14
... adjacent angles AKC + C'KB ' is equal to two right angles ( 28 ) , as well as the sum of the two angles AIC + AIB ; subtracting from these , respectively , the equal angles AKC ' , AIB , and there will remain the angle C'KB'AIC . These ...
... adjacent angles AKC + C'KB ' is equal to two right angles ( 28 ) , as well as the sum of the two angles AIC + AIB ; subtracting from these , respectively , the equal angles AKC ' , AIB , and there will remain the angle C'KB'AIC . These ...
Page 21
... adjacent angles of the one equal to a side and the two adjacent angles of the other , each to each ; these two triangles are therefore equal ( 38 ) ; and the side EG , which measures the distance of the parallels AB , CD , at the point ...
... adjacent angles of the one equal to a side and the two adjacent angles of the other , each to each ; these two triangles are therefore equal ( 38 ) ; and the side EG , which measures the distance of the parallels AB , CD , at the point ...
Page 39
... adjacent to the given side , or one adjacent and the other opposite . In this last case , find the third angle ( 140 ) ; we shall thus have the two adjacent angles . Then draw the straight line DE ( fig . 78 ) Fig . 78 . equal to the ...
... adjacent to the given side , or one adjacent and the other opposite . In this last case , find the third angle ( 140 ) ; we shall thus have the two adjacent angles . Then draw the straight line DE ( fig . 78 ) Fig . 78 . equal to the ...
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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