Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Σελίδα 58
... Square is a parallelogram which has its angles right angles , and its sides equal . 128. DEF . A Rhombus is a ... SQUARE . RHOMBUS . 130. DEF . The side upon which a parallelogram stands 58 BOOK I. GEOMETRY . QUADRILATERALS.
... Square is a parallelogram which has its angles right angles , and its sides equal . 128. DEF . A Rhombus is a ... SQUARE . RHOMBUS . 130. DEF . The side upon which a parallelogram stands 58 BOOK I. GEOMETRY . QUADRILATERALS.
Σελίδα 72
... square A B C D , BE be cut off equal to BC , and EF be drawn perpendicular to BD , show that D E is equal to E F , and also to FC . 13. Show that the three lines drawn from the vertices of a triangle to the middle points of the opposite ...
... square A B C D , BE be cut off equal to BC , and EF be drawn perpendicular to BD , show that D E is equal to E F , and also to FC . 13. Show that the three lines drawn from the vertices of a triangle to the middle points of the opposite ...
Σελίδα 150
... square on the hypotenuse has the same ratio to the square on either side as the hypotenuse has to the segment adjacent to that side . B A F C In the right triangle ABC , let BF be drawn from the vertex of the right angle B ...
... square on the hypotenuse has the same ratio to the square on either side as the hypotenuse has to the segment adjacent to that side . B A F C In the right triangle ABC , let BF be drawn from the vertex of the right angle B ...
Σελίδα 160
... square of the bisector . A B Di Let BAC of the △ A B C be bisected by the straight line AD . We are to prove Describe the BAX ACB D X D C + A D2 . ABC about the △ A BC ; produce A D to meet the circumference in E , and draw E C. Then ...
... square of the bisector . A B Di Let BAC of the △ A B C be bisected by the straight line AD . We are to prove Describe the BAX ACB D X D C + A D2 . ABC about the △ A BC ; produce A D to meet the circumference in E , and draw E C. Then ...
Σελίδα 183
... square are incommensurable . Let ABCD be a square , and AC the diagonal . Then or , AB2 + BC2 = A C2 2 A B2 = A C2 . Divide both sides of the equation by A B2 , A C2 = 2 . A B Q. E. D. D B C Extract the square root of both sides the ...
... square are incommensurable . Let ABCD be a square , and AC the diagonal . Then or , AB2 + BC2 = A C2 2 A B2 = A C2 . Divide both sides of the equation by A B2 , A C2 = 2 . A B Q. E. D. D B C Extract the square root of both sides the ...
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'.