Elements of GeometryGinn and Heath, 1881 - 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 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 = .. LA 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 ...
... sides and the included respectively to two sides and the included = .. LA 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 ...
Σελίδα 48
... sides Also , II . and the included of the other ) . LCEA = ZCEB , ( being homologous △ of equal △ ) . .. CE is 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 = ZCEB , ( being homologous △ of equal △ ) . .. CE is 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 = 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 ) . .. AB = 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 AB² ABCD adjacent angles apothem arc A B base and altitude BC² centre centre of symmetry circumference circumscribed construct a square COROLLARY decagon 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 homologous sides hypotenuse intersecting 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 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 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 136 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 207 - Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon.
Σελίδα 202 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 142 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 72 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle.
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 146 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.