Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 42.
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 . AA ISOSCELES . EQUILATERAL . 83. DEF . A Scalene 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 . AA ISOSCELES . EQUILATERAL . 83. DEF . A Scalene 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 other ...
... 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 other ...
Σελίδα 47
... sides and the included respectively to two sides and the included ZA = LB , ( being homologous △ of equal △ ) . Hyp . Iden . Cons . § 106 of the one are equal of the other ) . Q. E. D. Ex . If the equal sides of an isosceles triangle ...
... sides and the included respectively to two sides and the included ZA = LB , ( being homologous △ of equal △ ) . Hyp . Iden . Cons . § 106 of the one are equal of the other ) . Q. E. D. Ex . If the equal sides of an isosceles triangle ...
Σελίδα 48
... sides and the included of the one equal respectively to two sides and the included of the other ) . Also , II . = LCEA Z CEB , ( being homologous ... homologous sides of equal △ ) . Q. E. D. PROPOSITION XXX . THEOREM . 114. If two angles of ...
... sides and the included of the one equal respectively to two sides and the included of the other ) . Also , II . = LCEA Z CEB , ( being homologous ... homologous sides of equal △ ) . Q. E. D. PROPOSITION XXX . THEOREM . 114. If two angles of ...
Σελίδα 49
... side and an acute of the one equal respectively to a side and an acute of the other ) . .. A B = A C , ( 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 ) . .. A B = A C , ( being homologous sides of equal § ) . Q. E. D. Ex . Show that an equiangular triangle is also equilateral . PROPOSITION XXXI ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.