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" ... then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Σελίδα 30
των Alexander Ingram - 1799 - 351 σελίδες
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1836 - 472 σελίδες
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. XXVJI. If a straight line falling upon two other straight lines makes the alternate angles equal to...

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

John Playfair - 1836 - 471 σελίδες
...angles, common to the two triangles ^herefore their other sides are equal, each to each, and the b 20. I. third angle of the one to the third angle of the other b, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC. And because...

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

John Playfair - 1837 - 318 σελίδες
...opposite to the equal angles in each ; then shall the other side be equal, each to each ; and also the third angle of the one to the third angle of the...angles DEF, EFD, viz. ABC to DEF, and BCA to EFD, also one side equal to one side ; and first, let those sides be equal which are adjacent to the angles'...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...opposite to the equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. Or, if two angles and a side in one triangle be respectively equal to two angles and a corresponding...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 σελίδες
...opposite to the equal angles in each : then shall the other sides be equal, A, each to each; and also the third angle of the one to the third angle of the other. Steps of the Demonstration to Case 1st. Suppose that AB ^ DK, and that a part of AB, as BG = DE, Then...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 σελίδες
...contained by those sides unequal : the base of that which has the greater angle is greater than the base of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each ; but the angle BAC greater than EDF; the base...

The Elements of Euclid

Euclid - 1838 - 416 σελίδες
...sides opposite \ to equal angles in each ; then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the...angles DEF, EFD, viz. ABC to DEF, and BCA to EFD; also one side equal to one side ; and first let those sides be equal which are adjacent to the AD angles...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third ».. , angle of the other,* viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because...

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

Euclides - 1841 - 351 σελίδες
...equal angles, common to the two triangles; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other,* viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...which is adjacent to their equal angles, therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other (26. 1.), viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC:...




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