Plane GeometryAmerican Book Company, 1911 - 303 σελίδες |
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Σελίδα
... equivalent , equivalent to , is equiva- lent to . alt . alternate . def . definition . ~ similar , similar to , is similar to . ax . axiom . is measured by . post . postulate . perpendicular , perpendicular to , is perpendicular to . Is ...
... equivalent , equivalent to , is equiva- lent to . alt . alternate . def . definition . ~ similar , similar to , is similar to . ax . axiom . is measured by . post . postulate . perpendicular , perpendicular to , is perpendicular to . Is ...
Σελίδα 167
... equivalents for the second member , may be obtained from the hypothesis . II . Proof ARGUMENT 1 . ab = ab . REASONS 1. By iden . 2 . bc = ad . 2. § 388 . 3 . 4 . be = af . bg = ah . 5. ab + be + be + bg = ab + ad + af + ah ; i.e. b ( a ...
... equivalents for the second member , may be obtained from the hypothesis . II . Proof ARGUMENT 1 . ab = ab . REASONS 1. By iden . 2 . bc = ad . 2. § 388 . 3 . 4 . be = af . bg = ah . 5. ab + be + be + bg = ab + ad + af + ah ; i.e. b ( a ...
Σελίδα 211
... Equivalent figures are figures which have the same area . The student should note that : Equal figures have the same shape and size ; such figures can be made to coincide . Similar figures have the same shape . Equivalent figures have ...
... Equivalent figures are figures which have the same area . The student should note that : Equal figures have the same shape and size ; such figures can be made to coincide . Similar figures have the same shape . Equivalent figures have ...
Σελίδα 217
... equivalent . 483. Cor . II . Any two parallelograms are to each other as the products of their bases and their altitudes . HINT . Give a proof similar to that of § 479 . 484. Cor . III . ( a ) Two parallelograms having equal bases are ...
... equivalent . 483. Cor . II . Any two parallelograms are to each other as the products of their bases and their altitudes . HINT . Give a proof similar to that of § 479 . 484. Cor . III . ( a ) Two parallelograms having equal bases are ...
Σελίδα 218
... equivalent . 487. Cor . II . Any two triangles are to each other as the products of their bases and their altitudes . OUTLINE OF PROOF Denote the two A by T and 7 ' , their bases by b and b ' , and their altitudes by h and h ...
... equivalent . 487. Cor . II . Any two triangles are to each other as the products of their bases and their altitudes . OUTLINE OF PROOF Denote the two A by T and 7 ' , their bases by b and b ' , and their altitudes by h and h ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry Virgil Snyder,Daniel D Feldman,J H B 1861 Tanner Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
acute angle adjacent angles altitude angle formed arc degrees ARGUMENT REASONS assigned value base angles bisector bisects chord circumscribed common measure Construct a triangle diagonals diameter discussion are left divided Draw equal arcs equal circles equal respectively equidistant equilateral triangle equivalent exercise exterior angles figure Find the area Find the locus geometric given circle given line given point given triangle HINT hypotenuse inches included angle inscribed angle intercepted arc isosceles trapezoid isosceles triangle length limit line drawn line joining line of centers mean proportional measure-number median mid-points number of sides obtuse parallel parallelogram perimeter perpendicular prolonged PROPOSITION prove quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle secant segments similar triangles straight line student tangent THEOREM third side trapezoid triangle ABC unequal variable vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 281 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Σελίδα 268 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 76 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 179 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.
Σελίδα 95 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 195 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other leg.
Σελίδα 13 - If two angles of a triangle are equal, the sides opposite are equal.
Σελίδα 96 - A line joining the midpoints of the non.parallel sides of a trapezoid is parallel to the base, and equal to half the sum of the bases.
Σελίδα 64 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...
Σελίδα 94 - If three or more parallel lines intercept equal segments on one transversal, they intercept equal segments on any other transversal.