Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 9
... intersecting , lines which are not perpendicular to each other are called oblique lines . 30. DEF . The Complement of an angle is the difference between a right angle and the given angle . Thus ABD is the complement of the angle DBC ...
... intersecting , lines which are not perpendicular to each other are called oblique lines . 30. DEF . The Complement of an angle is the difference between a right angle and the given angle . Thus ABD is the complement of the angle DBC ...
Σελίδα 22
... are equal ) . II . Draw CA and C B. We are to prove CA and C B unequal . One of these lines , as CA , will intersect the 1 . From D , the point of intersection , draw D B. DB = DA , § 53 ( twc oblique lines 22 BOOK I. 22 - GEOMETRY .
... are equal ) . II . Draw CA and C B. We are to prove CA and C B unequal . One of these lines , as CA , will intersect the 1 . From D , the point of intersection , draw D B. DB = DA , § 53 ( twc oblique lines 22 BOOK I. 22 - GEOMETRY .
Σελίδα 35
... intersect , as at H ; then and LB = LDHC , ( being ext . - int . ) , ZE ZDHC , . Z B = E. $ 70 $ 70 Ax . 1 Let B ' and E ' ( Fig . 2 ) have B'A ' and E ' D ' , and B'C ' and E ' F ' respectively , parallel and lying in oppo- site ...
... intersect , as at H ; then and LB = LDHC , ( being ext . - int . ) , ZE ZDHC , . Z B = E. $ 70 $ 70 Ax . 1 Let B ' and E ' ( Fig . 2 ) have B'A ' and E ' D ' , and B'C ' and E ' F ' respectively , parallel and lying in oppo- site ...
Σελίδα 36
... intersect as at H. LABC - ZBHD , ( being ext . - int . ≤ ) . = LDEF BHE , ( being alt . - int . ) . § 70 $ 68 But BHD and BHE are supplements of each other , § 34 ( being sup . - adj . △ ) . .. ZABC and DEF , the equals of BHD and ZBH ...
... intersect as at H. LABC - ZBHD , ( being ext . - int . ≤ ) . = LDEF BHE , ( being alt . - int . ) . § 70 $ 68 But BHD and BHE are supplements of each other , § 34 ( being sup . - adj . △ ) . .. ZABC and DEF , the equals of BHD and ZBH ...
Σελίδα 44
... intersecting A C at H. Since A B A B ' , Hyp . point A is at equal distances from B and B ' . Since BC B ' C , Hyp . $ 60 point C is at equal distances from B and B ' . .. AC is to B B ' at its middle point , ( two points at equal ...
... intersecting A C at H. Since A B A B ' , Hyp . point A is at equal distances from B and B ' . Since BC B ' C , Hyp . $ 60 point C is at equal distances from B and B ' . .. AC is to B B ' at its middle point , ( two points at equal ...
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A B C AABC AACB ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices