Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 36
... a segment . It will be seen that every chord divides the circumference into two arcs ACB , ADB ; and the circle into two segments denoted by the same letters . THEOREM I. The diameter EOC , drawn per- pendicular to BOOK II. ...
... a segment . It will be seen that every chord divides the circumference into two arcs ACB , ADB ; and the circle into two segments denoted by the same letters . THEOREM I. The diameter EOC , drawn per- pendicular to BOOK II. ...
Σελίδα 51
... divide the circumference into two equal parts . Then since the arc CA + arc ADB = a semicircumference , the angle on CA + the angle on ADB = R ; [ II . 15. Cor . 2 . CBA + ABE = R , but therefore CBA + ABE = the angle on CA + the angle ...
... divide the circumference into two equal parts . Then since the arc CA + arc ADB = a semicircumference , the angle on CA + the angle on ADB = R ; [ II . 15. Cor . 2 . CBA + ABE = R , but therefore CBA + ABE = the angle on CA + the angle ...
Σελίδα 63
... Divide AB , AD into parts each equal to the unit of length , and through the points of division draw straight lines parallel to AB and AD . The figures so formed are all squares , and all equal to the square KH . [ III . 2 . Hence if AB ...
... Divide AB , AD into parts each equal to the unit of length , and through the points of division draw straight lines parallel to AB and AD . The figures so formed are all squares , and all equal to the square KH . [ III . 2 . Hence if AB ...
Σελίδα 71
... - portant proposition . THEOREMS . 1. THE diagonals divide a parallelogram into four equal triangles . 2. If two triangles have two sides of the one equal to two sides of the other , each to each , AREA OF FIGURES . 71 B ...
... - portant proposition . THEOREMS . 1. THE diagonals divide a parallelogram into four equal triangles . 2. If two triangles have two sides of the one equal to two sides of the other , each to each , AREA OF FIGURES . 71 B ...
Σελίδα 72
... divides the figure into two equal parts . 5. If a point within a parallelogram be joined to the vertices , the two triangles formed by the joining lines and two opposite sides are together equal to half the parallelo- gram . What is the ...
... divides the figure into two equal parts . 5. If a point within a parallelogram be joined to the vertices , the two triangles formed by the joining lines and two opposite sides are together equal to half the parallelo- gram . What is the ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide EDUCATIONAL BOOKS Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equilateral triangle Examples exterior angle Extra fcap Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line Grammar greater Head Master Hence intersect isosceles John's College late Fellow Let ABCD line drawn measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right-angled triangle Schools Second Edition segments Shew shortest line similar triangles square on BC student tangent THEOREM THEOREM VII trapezium triangle ABC vertex