Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 36
... arc and chord is called 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.
... arc and chord is called 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.
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 ÁDB = 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 ÁDB = 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 The figures so formed are all squares , and all equal to 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 The figures so formed are all squares , and all equal to 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.
... - 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.
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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Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
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