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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... "
The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 232
των Euclides - 1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...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...triangles which have the two sides BA, AC proportional to ihe two CD, DE, viz. BA to AC as CD to DE ; and let AB be parallel to DC, and AC to DE. BC and CE are...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 σελίδες
...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...another; the remaining sides shall be in a straight line. i29. I Let ABC, DCE be two triangles which have the two sides BA, AC proportional to the two CD, DE,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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,...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 σελίδες
...AC. 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...another; the remaining sides shall be in a straight line. Because AB is parallel to DC, and the straight line AC meets them, the alternate angles BAC, • 29....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...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...have the two sides BA, AC proportional to the two Clj>,lJE, viz. BA to AC, as CD to DE; and let AB be parallel to DC, and AC to DE, BC arid CE are in...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1819 - 800 σελίδες
...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 remaining sides shall be in a straight line. Prop. XXXII 1. Theor. In equal circles, angles, whether at the centres or circumferences, have the...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...&c. Q, ED PROP. XXXII. THEOR. If two triangles which have two sides of the one proportional to too sides of the other, be joined at one angle, so as...have their homologous sides parallel to one another ; their remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have two sides...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...BA, AC. Wherefore, in right angled triangles, &c. QED PROP- XXXII. THEOR. IP two triangles which have two sides of the one proportional to two sides of...homologous sides parallel to one another; the remaining rfides shall be in a straight line. Let ABC/DCK be two triangles which have the BA, AC proportional...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...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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