Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα 37
... Homologous angles , and the equal sides are called Homologous sides . 82. In equal triangles the equal sides are opposite the equal angles . SCALENE . ISOSCELES . EQUILATERAL . 83. DEF . A Sealene triangle is one of which no two sides ...
... Homologous angles , and the equal sides are called Homologous sides . 82. In equal triangles the equal sides are opposite the equal angles . SCALENE . ISOSCELES . EQUILATERAL . 83. DEF . A Sealene triangle is one of which no two sides ...
Σελίδα 46
... side and two adj . respectively to a side and two adj . 111. COROLLARY . Two right triangles are equal when a side and an acute angle of the one are equal respectively to an homologous side and acute angle of the other . of the one are ...
... side and two adj . respectively to a side and two adj . 111. COROLLARY . Two right triangles are equal when a side and an acute angle of the one are equal respectively to an homologous side and acute angle of the other . of the one are ...
Σελίδα 47
... sides and the included respectively to two sides and the included Hyp . Iden . Cons . § 106 of the one are equal of the other ) . ..ZA ZB , ( being homologous of equal △ ) . Q. E. D. Ex . If the equal sides of an isosceles triangle be ...
... sides and the included respectively to two sides and the included Hyp . Iden . Cons . § 106 of the one are equal of the other ) . ..ZA ZB , ( being homologous of equal △ ) . Q. E. D. Ex . If the equal sides of an isosceles triangle be ...
Σελίδα 48
... sides Also , II . and the included of the other ) . = LCEA Z CEB , ( being homologous & of equal ) . .. CE is 1 to ... homologous sides of equal § ) . Q. E. D. PROPOSITION XXX . THEOREM . 114. If two angles of 48 BOOK I. GEOMETRY . -
... sides Also , II . and the included of the other ) . = LCEA Z CEB , ( being homologous & of equal ) . .. CE is 1 to ... homologous sides of equal § ) . Q. E. D. PROPOSITION XXX . THEOREM . 114. If two angles of 48 BOOK I. GEOMETRY . -
Σελίδα 49
... side and an acute △ of the one equal respectively to a side and an acute of the other ) . = .. AB AC , ( being homologous sides of equal △ ) . Q. E. D. Ex . Show that an equiangular triangle is also equilateral . PROPOSITION XXXI ...
... side and an acute △ of the one equal respectively to a side and an acute of the other ) . = .. AB AC , ( being homologous sides of equal △ ) . Q. E. D. Ex . Show that an equiangular triangle is also equilateral . PROPOSITION XXXI ...
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A B C AABC 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 equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY 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 vertex vertices Wentworth