Download PDF by Solomon Gandz: The Mishnat ha middot, the first Hebrew geometry of about

By Solomon Gandz

(Indexes of Hebrew, Arabic and Greek phrases are missing. A extra entire model will be welcome.

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Additional resources for The Mishnat ha middot, the first Hebrew geometry of about 150 C.E., and the Geometry of Muhammad ibn Musa al-Khowarizmi

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Y. ;ul_d ‫ ״‬u Arab. Text. — The Geometry of al-Khowarizml. Engl. Transl. -* breadth and its angles are unequal, * U jjiij rtu V i but the two length sides are equal to each other and the two breadth sides are also equal; and the fifth one, with entirely unequal sides and angles. b) The area of those quadrilaterals 4JU 4, y~A djliujil {jA 0 ^ bi ^ that have equal sides and upright j j l i l l j ^ l l 4*115 4 i l i t * j\ l l j j l i angles or unequal sides and upright angles will be obtained if you mulU5 1 J JylaJl 'r1^ ' 0 ' tiply the length into the breadth.

Id— iT“*' ^1 1-‫־‬t lj b) And the proof of this is as £jaZ ^ ‫^ ג‬ I 4)■y* $ 1? >— ‫׳‬I halves in the point H and draw a line from H to Z 34). Then let us cut <*jjl J ^ I jU\jJ Ij Vl 4>J1— ^-a point T and draw a line from T to H 3h). The roof ABJD thus becomes dl ‫כ‬ j dJ j d) dJ I divided into four roofs with equal ^13e>liau► la 4iai I o y [V sides36), angles and areas, and these y *IsJuxt dJ I 7r«a— are the roofs A Y, JY , B Y , D Y.

L*A} which cuts the roof A Y into two halves. Thus there arise out of the J y ^

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