Elements of GeometryGinn, Heath & Company, 1884 |
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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 DE 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 DE 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 127
... square , one of whose angles shall coincide with one of the right angles at O , and the vertex of the opposite angle of the square shall lie in EF . ( Two solutions . ) 9. In a given rhombus to inscribe a square . 10. If the base and ...
... square , one of whose angles shall coincide with one of the right angles at O , and the vertex of the opposite angle of the square shall lie in EF . ( Two solutions . ) 9. In a given rhombus to inscribe a square . 10. If the base and ...
Σελίδα 131
... square root of their product . In the proportion a bbc , b2 = a c , ( the product of the extremes is equal to the product of the means ) . Whence , extracting the square root , § 259 b Vac Q. E. D. PROPOSITION III . 261. If the product ...
... square root of their product . In the proportion a bbc , b2 = a c , ( the product of the extremes is equal to the product of the means ) . Whence , extracting the square root , § 259 b Vac Q. E. D. PROPOSITION III . 261. If the product ...
Σελίδα 160
... square of the bisector . B D Let BAC of the △ A B C be bisectea by ɩne straight line A D. We are to prove ВАХАС = BDX DC + A D2 . Describe the OA B C about the △ A BC ; produce AD to meet the circumference in E , and draw E C. Then in ...
... square of the bisector . B D Let BAC of the △ A B C be bisectea by ɩne straight line A D. We are to prove ВАХАС = BDX DC + A D2 . Describe the OA B C about the △ A BC ; produce AD to meet the circumference in E , and draw E C. Then in ...
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A B C AABC ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC vertex vertices Wentworth