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<title type="main">The Elements of Euclid.  II.</title><author><persName>Féach aistritheoir</persName></author><respStmt><resp>compiled by</resp><name>Seán Ó Donnbháin</name></respStmt><editor><name type="main">Mac Néill, Eoin</name></editor><editor role="translator"><name type="main">Seán Ó Donnbháin</name></editor><respStmt>
	<resp>Electronic edition compiled by</resp>
	<name>Foclóir na Nua-Ghaeilge</name>
	</respStmt>
	</titleStmt>
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	 <edition>
		 <note type="N">IG08-10388</note>
		 <note type="L">71</note>
		 <note type="B">1897</note>
		 <note type="C"/>
		 <note><p>Description of how and why changes were made</p></note>
	 </edition>
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		<publisher>Connradh na Gaedhilge</publisher>
		<pubPlace>24 Upper O'Connell Street, Dublin</pubPlace><date>Lughnasadh, 1897</date><idno>IG08-10388</idno><distributor>Royal Irish Academy</distributor>
		<availability>
		<p>Creative Commons Attribution Non-Commercial Share Alike (cc by-nc-sa)</p>
		</availability>
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<title level="s">Irisleabhar na Gaedhilge</title><biblScope unit="vol">8</biblScope>
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<analytic><author>Féach aistritheoir</author><title>The Elements of Euclid.  II.</title></analytic>
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<title level="j">The Elements of Euclid.  II.</title><imprint><publisher>Connradh na Gaedhilge</publisher><date>Lughnasadh, 1897</date></imprint>
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<text><body><div><p><span>THE ELEMENTS OF EUCLID</span></p>
<lb n="1"/>
<lb n="2"/><p><span>Translation into Iirsh commence dby</span></p>
<lb n="3"/>
<lb n="4"/><p><span>JOHN O'DONOVAN.</span></p>
<lb n="5"/>
<lb n="6"/><p><span>II.</span></p>
<lb n="7"/>
<lb n="8"/><p><span>9. </span></p>
<lb n="9"/>
<lb n="10"/><p><span>Is é is cúinne dron-líneach plánálda </span>
<lb n="11"/><span>ann, claonadh dhá líne dhíreach chum a chéile </span>
<lb n="12"/><span>noch theagmhas le chéile acht nach bhfuil 'san </span>
<lb n="13"/><span>dron-líne chéadna.</span></p>
<lb n="14"/>
<lb n="15"/><p><span>[The word cúinne, "a corner," is chosen to translate</span>
<lb n="16"/><span>"angle."  In older Irish the use of uille (gen., uilleann,</span>
<lb n="17"/><span>dat., uillinn), lit. "elboW," is established in the sense of</span>
<lb n="18"/><span>"angle;" tre-uillech, "triangular."  Dron-líneach, </span>
<lb n="19"/><span>"rectilinear."  Teagmhaim, I meet, now usually teang-</span>
<lb n="20"/><span>mhaim.  O'D. here still wavers between líne dhíreach and</span>
<lb n="21"/><span>dron-líne.]</span></p>
<lb n="22"/>
<lb n="23"/><p><span>10.</span>
<lb n="24"/><span>An uair sheasas dron-líne ar dhron-líne </span>
<lb n="25"/><span>eile, agus do ghní na cúinní ar gach taobh de </span>
<lb n="26"/><span>coimhionann, gairthear dron-uille de gach </span>
<lb n="27"/><span>cúinne dhíobh, agus gairthear ingear de'n dron-</span>
<lb n="28"/><span>líne sheasas ar aroile.</span></p>
<lb n="29"/>
<lb n="30"/><p><span>[Coimhionann, "equal."  Dron-uille, "right-angle."</span>
<lb n="31"/><span>Uille here adopted as well as cúinne.  O'Reilly gives</span>
<lb n="32"/><span>ingear, "a perpendicular," ingearach, "vertical."  Ar</span>
<lb n="33"/><span>aroile = ar a chéile, ar an gceann eile.]</span></p>
<lb n="34"/>
<lb n="35"/><p><span>11.</span>
<lb n="36"/><span>Gairthear leathan-uille de'n chúinne sin </span>
<lb n="37"/><span>atá níos mó ná dron-uille.</span></p>
<lb n="38"/>
<lb n="39"/><p><span>12.</span>
<lb n="40"/><span>Agus géar-uille dhi sin atá níos lugha </span>
<lb n="41"/><span>ná dron-uille.</span></p>
<lb n="42"/>
<lb n="43"/><p><span>13.</span>
<lb n="44"/><span>Is é is teóra ann, fóirimeall aon neith.</span></p>
<lb n="45"/>
<lb n="46"/><p><span>14.</span>
<lb n="47"/><span>Is é is fioghair ann, an nídh timchealltar </span>
<lb n="48"/><span>le haon teórainn no níos mó.</span></p>
<lb n="49"/>
<lb n="50"/><p><span>[Leathan-uille, obtuse angle.  The usual word for</span>
<lb n="51"/><span>"obtuse" is maol.  Géar-uille, acute angle.  Teóra,</span>
<lb n="52"/><span>boundary, circumference.  Fioghair, figure.]</span></p>
<lb n="53"/>
<lb n="54"/><p><span>15.</span>
<lb n="55"/><span>Is é is crios no cearcal ann .i. fioghair </span>
<lb n="56"/><span>cuimsighthear fá aon líne amháin ar a </span>
<lb n="57"/><span>ngairmthear an timcheallaidhe nó an fóiri-</span>
<lb n="58"/><span>meall, is an gcuma go bhfuil gach uile líne </span>
<lb n="59"/><span>tarraingthear ó phonc áirithe ar thaobh de'n </span>
<lb n="60"/><span>fhioghair chum an timcheallaidhe coimh-ionann </span>
<lb n="61"/><span>le n-a chéile.</span>
<lb n="62"/></p>
</div>
<pb n="72"/>
<div><lb n="63"/><p><span>[Crios, cearcal = circle.  The words cró and buaile,</span>
<lb n="64"/><span>both metaphors taken from the circular-shaped cattle-</span>
<lb n="65"/><span>fold, were formerly used to mean "circle."  There is an</span>
<lb n="66"/><span>evident difficulty in adapting common words, like crios,</span>
<lb n="67"/><span>cró, cuairt, to a special technical use.  It is like substi-</span>
<lb n="68"/><span>tuting "ring" or "hoop" for the geometrical term circle</span>
<lb n="69"/><span>in English.  Only a pedant coudl object to the use of a</span>
<lb n="70"/><span>borrowed but thoroughly naturalized term like cearcal,</span>
<lb n="71"/><span>about which there could be no confusion.  Timcheallaidhe,</span>
<lb n="72"/><span>circumference.  We may reject fóirimeall, already used</span>
<lb n="73"/><span>in a far wider sense.  Ar thaobh de'n fhioghair seems to</span>
<lb n="74"/><span>obsure the true meaning.]</span></p>
<lb n="75"/>
<lb n="76"/><p><span> </span>
<lb n="77"/><span>16.</span>
<lb n="78"/><span>Agus gairthear ceart-lár an chreasa de'n </span>
<lb n="79"/><span>phonc so.</span></p>
<lb n="80"/>
<lb n="81"/><p><span>[Ceart-lár, centre. I have heard the word used</span>
<lb n="82"/><span>popularly in this sense.  Ceart-mheadhón is also found.]</span></p>
<lb n="83"/>
<lb n="84"/><p><span>17.</span>
<lb n="85"/><span>Is é is lár-líne an chreasa ann .i. dron-</span>
<lb n="86"/><span>líne (.i. líne dhíreach) tarraingthe tré n-a </span>
<lb n="87"/><span>cheart-lár agus críochnuighthe ar gach taobh leis </span>
<lb n="88"/><span>an timcheall-líne.</span></p>
<lb n="89"/>
<lb n="90"/><p><span>[Lár-líne, diameter.  Timcheall-líne here substituted</span>
<lb n="91"/><span>for timcheallaidhe.  No term is given for "radius," but</span>
<lb n="92"/><span>ga has been used in that sense.  Note that O'D. does</span>
<lb n="93"/><span>not use taoibh in the dative.]</span></p>
<lb n="94"/>
<lb n="95"/><p>
<lb n="96"/><span>18.</span>
<lb n="97"/><span>Is é is leath-chrios ann .i. fioghair teoruigh-</span>
<lb n="98"/><span>thear leis an lár-líne agus an pháirt sin de'n </span>
<lb n="99"/><span>timcheall-líne gearrtha amach leis an lár-</span>
<lb n="100"/><span>líne.</span></p>
<lb n="101"/>
<lb n="102"/><p><span>[Leath-chrios, semi-circle (leath-chearcal would be better).</span>
<lb n="103"/><span>The latter half of this definition is weak both in meaning</span>
<lb n="104"/><span>and in idiom.  The circumference is cut in two equal halves</span>
<lb n="105"/><span>by the diameter.  An pháirt sin … gearrtha amach is</span>
<lb n="106"/><span>English-Irish.  We might say fioghair teoruighthear</span>
<lb n="107"/><span>fá'n lár-líne agus fá'n gcuid de'n timcheall-líne atá ar </span>
<lb n="108"/><span>aon taobh de'n lár-líne.]</span></p>
<lb n="109"/>
<lb n="110"/><p><span>19.</span>
<lb n="111"/><span>Is é is mír de chearcal ann .i. an fhioghair </span>
<lb n="112"/><span>coimsighthear fá dhron-líne agus (fá) an pháirt </span>
<lb n="113"/><span>de'n timcheall-líne ghearras sé amach.</span></p>
<lb n="114"/>
<lb n="115"/><p><span>[Better fá dhron-líne agus fá aon-chuid de'n timcheall-</span>
<lb n="116"/><span>líne.  The part "cut off" and the part off which it is</span>
<lb n="117"/><span>cut are equally capable of bounding a segment (mír).</span>
<lb n="118"/><span>Coimsighthear = teoruighthear, is bounded.]</span></p>
<lb n="119"/>
<lb n="120"/><p><span>20.</span>
<lb n="121"/><span>Fioghairí dron-líneacha umorro .i. iad so </span>
<lb n="122"/><span>coimsighthear fá líntibh direcha.</span></p>
<lb n="123"/>
<lb n="124"/><p><span>[Umorro, an obsolete particle, used in passing from</span>
<lb n="125"/><span>one subject to another.  Fioghracha is used as plural of</span>
<lb n="126"/><span>fioghair.]</span></p>
<lb n="127"/>
<lb n="128"/><p><span>21.</span>
<lb n="129"/><span>Fioghairí trí-thaobhacha, nó teoruilleanna, </span>
<lb n="130"/><span>fá thrí líntibh díreacha.</span></p>
<lb n="131"/>
<lb n="132"/><p><span>[Trí-thaobhach, trilateral.  Teoruille, triangle.]</span></p>
<lb n="133"/>
<lb n="134"/><p><span>22.</span>
<lb n="135"/><span>Fioghairí ceathar-thaobhacha fá cheithre líntibh </span>
<lb n="136"/><span>díreacha.</span></p>
<lb n="137"/>
<lb n="138"/><p><span>[Ceathar-thaobhach, quadrilateral.]</span></p>
<lb n="139"/>
<lb n="140"/><p><span>23.</span>
<lb n="141"/><span>Fioghairí ioltaobhacha, nó iolchúinní, fá </span>
<lb n="142"/><span>níos mó ná ceithre línte díreacha.</span></p>
<lb n="143"/>
<lb n="144"/><p><span>[Ioltaobhach, multilateral.  Iolchúinne, a polygon: not</span>
<lb n="145"/><span>a good term, as its form implies a kind of angle rather</span>
<lb n="146"/><span>than a figure.  Iolchúinneach, polygonal, or a polygon,</span>
<lb n="147"/><span>might be used.]</span></p>
<lb n="148"/>
<lb n="149"/><p>
<lb n="150"/><span>24.</span>
<lb n="151"/><span>I measg fioghairí trí-thaobhach, gairthear </span>
<lb n="152"/><span>teoruille chomhthaobhach di sin ag a bhfuil trí </span>
<lb n="153"/><span>thaobha coimhionanna.</span></p>
<lb n="154"/>
<lb n="155"/><p><span>[Comhthaobhach, equilateral.]</span></p>
<lb n="156"/>
<lb n="157"/><p><span>25.</span>
<lb n="158"/><span>Teoruille chomhchosach is ainm do'n fhio-</span>
<lb n="159"/><span>ghair ag a bhfuil dá thaobh amháin coimhionann.</span></p>
<lb n="160"/>
<lb n="161"/><p><span>[Comhchosach, equal-legged, isosceles.]</span>
<lb n="162"/></p>
</div>
<pb n="73"/>
<div><lb n="163"/><p><span>26.</span>
<lb n="164"/><span>Teoruille neamhchomhshliosnach ainm na </span>
<lb n="165"/><span>fioghrach ag a bhfuil trí thaobha neimhionanna.</span></p>
<lb n="166"/>
<lb n="167"/><p><span>[Neamhchomhshliosnach, unequal-sided, scalene.  A rather</span>
<lb n="168"/><span>unwieldy term.  Slios, a side.]</span></p>
<lb n="169"/>
<lb n="170"/><p><span>27.</span>
<lb n="171"/><span>Teoruille dhron-uilleannach .i. teoruille </span>
<lb n="172"/><span>ag a bhfuil dron-uille.</span></p>
<lb n="173"/>
<lb n="174"/><p><span>28.</span>
<lb n="175"/><span>Teoruille leathan-uilleannach .i. teor-</span>
<lb n="176"/><span>uille ag a bhfuil cúinn leathan.</span></p>
<lb n="177"/>
<lb n="178"/><p><span>29.</span>
<lb n="179"/><span>Teoruille ghéar-uilleannach .i. í sin ag a </span>
<lb n="180"/><span>bhfuil trí cúinní géara.</span></p>
<lb n="181"/>
<lb n="182"/><p><span>[Instead of teoruille, the derivative teoruilleannach</span>
<lb n="183"/><span>might be substituted in the foregoing definitions, as the</span>
<lb n="184"/><span>compound word usually denotes a special kind of the</span>
<lb n="185"/><span>thing denoted by its last part, here uille, angle.  Teor-</span>
<lb n="186"/><span>uille, a triple angle, teoruilleannach (a thing) having</span>
<lb n="187"/><span>three angles.  Teora is an old inflected form of trí,</span>
<lb n="188"/><span>three.]</span></p>
<lb n="189"/>
<lb n="190"/><p><span>Mac Léighinn.</span></p>
<lb n="191"/>
<lb n="192"/><p/></div></body></text></TEI>
Historical Irish Corpus
1600 - 1926

The Elements of Euclid. II.

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Historical Irish Corpus1600 - 1926

The Elements of Euclid. II.

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Historical Irish Corpus
1600 - 1926
