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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 145
by Euclid, John Playfair - 1826 - 320 pages
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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...have their homologous sides parallel to one another, the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...Wherefore, in right angled triangles, &c. QED PROP. XXXII. THEOR. IF two triangles, which have two sides of one proportional to two sides of the other, be joined...angle, so as to have their homologous sides parallel to each other, the remaining sides will be in a straight line. Let1 ABC, DCE be two triangles, which have...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...sides of the one oee Note. o «i • «. • , * proportional to two sides of the other, be jonied at one angle, so as to have their homologous sides parallel to one another; the remaining sides shall be in a straight line. i29. I Let ABC, DCE be two triangles which have the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...containing tin- right angle. Prop. XXXII. Thcor. If two triangles «-Inch have t\vo sid*-s of the om; proportional to two sides of the other, be joined...angle, so as to have their homologous sides parallel t^ one another; the remaining sides shall be in a straight line. Prop. XXXIII. Theor. In equal circles,...
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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...have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE, be two triangles which have the two...
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Pantologia. A new (cabinet) cyclopędia, 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...have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Prop. XXXII 1. Theor. In equal circles, angles,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...PROP. XXXII. THEOREM. Jftrfo triangles which have (too sides of the one proportional to t mo sides oj the other be joined at one angle, so as to have their homologous tides parallel to one another ; the remaining sides shall be in a straight line. proportional to the...
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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 shall be in one right...
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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 shall be in one right...
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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...have their homologous sides parallel to one another; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides...
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