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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 105
των Robert Simson - 1762 - 466 σελίδες
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...Wherefore, if two triangles, &c. QED PROP. XXVI.— THEOREM. If two triangles have two angles of the one equal to two angles of the other , each to each, and one side equal to one side ; viz., either the side adjacent to the equal angles in each, or the side...

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

Civil service - 1866 - 270 σελίδες
...selected Euclid as a subject of examination. Time allowed, Three hours. 1. If two triangles have two angles of one equal to two angles of the other, each to each, and one side equal to one side, viz. the' side adjacent to the equal angles in each ; then shall the other...

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

Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...FCL, there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore their other sides are equal, each to each, and the third angle of the one equal to the third angle...

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

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...Wherefore, if two triangles &c. QED PROPOSITION. 20. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles, or sides which are...

Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - 276 σελίδες
...symmetrically equal. Cor. On the same sphere, or on equal spheres, triangles having two angles of the one equal to two angles of the other, each to each, and the included sides equal, have their remaining sides and angles equal. For, if |_^ = LA LB =[_•#, and...

The Edinburgh university calendar

Edinburgh univ - 1868 - 336 σελίδες
...of ^355, 15s. for four years, at 4 per cent. per annum. 2. If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side (viz. , the sides adjacent to the equal angles) ; then shall the other sides...

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

Robert Potts - 1868 - 434 σελίδες
...C is greater than the angle EDF. PROPOSITION XXVI. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one tide equal to one side, viz, either the sides adja cent to the equal angles in each, or the sides...

Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 196 σελίδες
...would keep a field in levelling for sections. EUCLID. I. Specimen Paper. 1. If two triangles have two angles of one equal to two angles of the other, each to each, and one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 σελίδες
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli inclu ded between the equal angles, common ; hence the triangles are equal (Prop. VII.) ;...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871 - 136 σελίδες
...QED a.* 8 NOTE XVI. Euclid's Proof of Prop. XXVI. of Book I. If two triangles have two angles of the one equal to two angles of the other, each to each; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite...




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