Libros Libros If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square... A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
Vista completa - Acerca de este libro ## An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 páginas
...off from the two given tangents, also subtend equal angles, at the center of the circle. (LXVII.) To produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. (LXVII i.) If, from the bisection of any given arch...
Vista completa - Acerca de este libro ## Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 páginas
...of another problem of the same nature ; in which it is required to produce a straight line AB, such that the rectangle contained by the whole line thus produced and the part produced, shall be equivalent to the square of the line AB itself. Divide AB, by this proposition, in C, so that...
Vista completa - Acerca de este libro ## A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 páginas
...tangent, and Which is equal to the tangent, itself also touches the circle. PROP. LXXIII. 93. PROBLEM. To produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. Let AB be a given straight line, and L the side D...
Vista completa - Acerca de este libro ## A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 páginas
...which is equal to the tangent, itself also touches the circle. " --> PROP. LXXIII. 93. PROBLEM. To produce a given straight line, so that the rectangle contained by the whole lint? thus produced, and the part of it produced, shall be equal to a given square. Let AB be a given...
Vista completa - Acerca de este libro ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 páginas
...following pYoblem, more simple, and, as was observed in the former instance very little less general . " To produce a given straight line, so that the rectangle '• contained by the segments, between the extremities of the given. " line, and the point to which it is produced, may...
Vista completa - Acerca de este libro ## Hirsch's Geometry: Or, A Sequel to Euclid

Meyer Hirsch - 1827 - 264 páginas
...proof of this construction is founded on Eue. VI. 13, 17. SECTION LXXIII. PROB. To produce a given line, so that the rectangle contained by the whole...and the part produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen it by the part BC, so that the...
Vista completa - Acerca de este libro ## Hirsch's Collection of Examples Formulae and Calculations on the Literal ...

Hirsch - 1827 - 386 páginas
...of this construction is founded on Eue. VI. 13, 17. SECTION LXXIII. Рвов. То produce a given line, so that the rectangle contained by the whole...and the part produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen it by the part BC, so that the...
Vista completa - Acerca de este libro ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...their sum and difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
Vista completa - Acerca de este libro ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...AD and difference DB. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together ivith the square of half the line bisected, is equal to the square of the...
Vista completa - Acerca de este libro ## Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 páginas
...this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected is equal to the square of the straight...
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