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Elements of Plane Geometry: For the Use of Schools - Primary Source Edition
Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013
ABCD adjacent angles allel alternate angles altitude angles ABD angles is equal antecedent and consequent B. I. Ax B. V. Prop Book centre circle whose radius circumference circumscribed circumscribed circle common measure Converse of Prop diameter divided draw the line equal angles equal arcs equal B.I. Prop equal chords equal Prop equal respectively equiangular equivalent feet four numbers given angle given line given point half hence the triangles hypotenuse included angle inscribed angle Jins Let ABC linear units longer than AC multiplied number of sides number of square oblique lines opposite parallel parallelogram perimeter perpendicular PROBLEM prove quadrilateral radii rectangle regular polygons respectively equal right angles Prop right-angled triangle Scholium sides AC similar subtended tangent THEOREM three sides triangle ABC triangles are equal vertex
Σελίδα 31 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 71 - 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'.
Σελίδα 53 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 89 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 54 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 83 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 59 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Σελίδα 61 - From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.