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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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...third sides be equal in each triangle, as also the remaining angles of the one to the remaining angles of the other. Let ABC, DEF be two triangles which have the sides AB, AC equal to the two sides DE, DF, each to each, and the angle ABC equal to the angle DEF:...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866
...angles in each, they shall have the remaining sides equal to the remaining sides, each to each, and the third angle of the one to the third angle of the other. 3. If the square described upon one side of a triangle be equal to the squares described upon the other...

The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...sides opposite to equal angles in each ; then the other sides shall be equal, each to each, and also the third angle of the one to the third angle of the other. Prop. 27. If a straight line falling upon two other straight lines, make the alternate angles equal...

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

John Playfair - 1855 - 317 σελίδες
...other side be equal, each to each ; and also tht third angle nf the one to the third angle of t/te other Let ABC, DEF be two triangles which have 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...

Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866
...adjacent 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. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...which is adjacent to their equal angles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, namely, the side AB equal to the side CD, and the side AC equal to the side BD, and the angle BAC equal...

The Edinburgh university calendar

Edinburgh univ - 1868
...sides adjacent to the equal angles) ; 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. 3. Equal triangles upon the same base, and upon the same side of it, are between the same parallels....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 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, (I. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BACto the angle BDC. And because...

Civil service guide

Robert Johnston (F.R.G.S.) - 1870 - 178 σελίδες
...adjacent 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. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 σελίδες
...other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included sides BC, EF equal to __ each...




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