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" ... 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. "
Orr's Circle of the Sciences: The mathematical sciences - Page 58
edited by - 1854
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 333 pages
...to the equal angles, or the sides 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 other. Let ABC, DEF be two triangles which have the angles ABC, ECA equal to the angles DEF, EFD, viz. ABC...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each, then shall the other...each to each, and also the third angle of the one, to Ike third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, BCA equal to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...angle of the one to the third angle of the other. Let ABC,DEF be two triangles which have theangles ABC, BC A equal to the angles DEF, EFD, viz. ABC...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each; then shall the other sides be...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...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...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...equal to one side ; namely, either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the other sides...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...to the equal angles, or the sides 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 other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...the equal angles, or 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...
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The Elements of Euclid

Euclid - Geometry - 1838 - 478 pages
...than the angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. THE ELEMENTS OF EUCLID. \ to equal angles in each; then shall the other sides...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. ABC...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...; and one side equal to one side, vis. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...each to each, and also the third angle of the one to tlie third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to...
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