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" If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles... "
Proceedings of the Edinburgh Mathematical Society - Page 143
by Edinburgh Mathematical Society - 1920
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...AC. Wherefore, in right angled triangles, &c. QED PROP. XXXII. THEOR. See N. IF two triangles which have two sides of the one proportional to two sides of the other be joined at one angle, so as to have their homologous sides parallel to one another, the remaining...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...Whfife'fore, in right angled .triangles, &c. QED • » PROP. XXXII. THEOR. See N. IF two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...described figures upon the sides containing the right angle. Prop. XXXII. Theor. If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...Wherefore, in right angled triangles, &e. " "* " Q. E JD. • f ' PROP. XXXII. THEOR If two triangles, whieh have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; their remaining...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...AC. Therefore in right-angled triangles, 8tc. QED PROPOSITION XXXII. THEOREM. If two triangles having two sides of the one proportional to two sides of the other, be joined at one angle, so that their homologous sides be parallel; the remaining sides of those triangles...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...AC. Therefore in right-angled triangles, 8cc. QED PROPOSITION XXXII. THEOREM. If two triangles having two sides of the one proportional to two sides of the other, be joined at one angle, so that their homologous sides be parallel; the remaining sides of those triangles...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...AC. Wherefore, in right angled triangles, &c. QED PROP. XXXII. THEOR. See N. If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle so as to have their homologous sides parallel to one another; the remaining...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...together. Wherefore, " in right angled triangles," &c. QED PROP. XXXII. THEOR. If two triangles, which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their liomologous sides parallel to one another ; the remaining...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...similarly described figures upon the sides containing the right angle. XXXII. if two triangles, which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another; their remaining...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...which the figures described on the three sides are squares. PROP. XXXII. THEOR. IF two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another, and the angles...
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