<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE book PUBLIC "-//NLM//DTD BITS Book Interchange DTD v2.3 20210610//EN" "BITS-book2.3.dtd"> <book xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" book-type="conference-proceedings" dtd-version="2.3" xml:lang="ru"> <front> <book-meta>  <book-id book-id-type="isbn">978-5-9908358-6-3</book-id>   <book-id pub-id-type="doi">10.21661/a-181</book-id>   <title-group>  <book-title xml:lang="ru">Летние каникулы</book-title>   <trans-title-group xml:lang="en"> <trans-title>Summer Vacation</trans-title> </trans-title-group>  </title-group>  <description xml:lang="ru"> <p>В сборнике представлены результаты исследований участников III Международной научно–практической конференции школьников, охватывающие широкий круг вопросов и освещающие различные школьные дисциплины.
Предназначен для широкого круга читателей.</p> </description>   <contrib-group>  <contrib contrib-type="editor" id="editor1">  <contrib-id contrib-id-type="role">chief_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Широков</surname> <given-names>Олег Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Shirokov</surname> <given-names>Oleg Nikolaevich</given-names> </name>  </name-alternatives>   <email xlink:type="simple">425954@rambler.ru</email> </contrib>  <contrib contrib-type="editor" id="editor2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Абрамова</surname> <given-names>Людмила Алексеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Abramova</surname> <given-names>Lyudmila Alexeevna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">labramova@interactive-plus.ru</email> </contrib>  <contrib contrib-type="editor" id="editor3">  <contrib-id contrib-id-type="role">executive_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Яковлева</surname> <given-names>Татьяна Валериановна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Yakovleva</surname> <given-names>Tatyana Valerianovna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">info@interactive-plus.ru</email> </contrib>  <contrib contrib-type="editor" id="editor4">  <contrib-id contrib-id-type="role">associate_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Митрюхина</surname> <given-names>Наталия Анатольевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Mitryuhina</surname> <given-names>Natalia Anatolievna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">nmitryuhina@interactive-plus.ru</email> </contrib>  </contrib-group>   <contrib-group>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm1">  <contrib-id contrib-id-type="role">chief_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Широков</surname> <given-names>Олег Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Shirokov</surname> <given-names>Oleg Nikolaevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Бекназаров</surname> <given-names>Рахым Агибаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Beknazarov</surname> <given-names>Rahym Agibaevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Бережная</surname> <given-names>Светлана Викторовна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Berezhnaya</surname> <given-names>Svetlana Viktorovna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm4">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Абрамова</surname> <given-names>Людмила Алексеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Abramova</surname> <given-names>Lyudmila Alexeevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm5">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Иваницкий</surname> <given-names>Александр Юрьевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Ivanitsky</surname> <given-names>Aleksandr Yuryevich</given-names> </name>  </name-alternatives>   </contrib>  </contrib-group>   <event>  <event-desc xml:lang="ru">Летние каникулы</event-desc>   <event-desc xml:lang="en">Summer Vacation</event-desc>     <conf-loc xml:lang="ru">Чебоксары</conf-loc>  </event>   <publisher> <publisher-name>Центр научного сотрудничества «Интерактив плюс»</publisher-name> </publisher>    <pub-date pub-type="collection"> <year>2016</year> </pub-date>    <permissions> <copyright-statement>Copyright &#x00A9; Татьяненко А. А., Татьяненко С. А., 2016</copyright-statement> <copyright-year>2016</copyright-year> <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"> <license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p> </license> </permissions>  </book-meta> <book-part book-part-type="conference-paper"> <book-part-meta>   <book-id custom-type="publisher-id" pub-id-type="custom">112746</book-id> <title-group>  <chapter-title xml:lang="ru">Площади многоугольников на решетках</chapter-title>   <trans-title-group xml:lang="en"> <trans-title>Areas of polygons on lattices</trans-title> </trans-title-group>  </title-group>  <contrib-group>   <contrib contrib-type="author" id="author1">   <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Татьяненко</surname> <given-names>Антон Алексеевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Tatyanenko</surname> <given-names>Anton Alexeevich</given-names> </name>   </name-alternatives>   <xref ref-type="aff" rid="aff1"/> </contrib>   <contrib contrib-type="author" id="author2">   <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Татьяненко</surname> <given-names>Светлана Александровна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Tatyanenko</surname> <given-names>Svetlana Alexandrovna</given-names> </name>   </name-alternatives>  <email xlink:type="simple">tatianenco@mail.ru</email> <xref ref-type="aff" rid="aff2"/> </contrib>   <aff-alternatives id="aff1">   <aff xml:lang="ru">  <institution>МАОУ «Гимназия им. Н.Д. Лицмана»</institution>   <country>Россия</country> </aff>    <aff xml:lang="en">  <institution>MAEI &quot;N. D. Litsman gymnasium&quot;</institution>   <country>Russia</country> </aff>   </aff-alternatives>  <aff-alternatives id="aff2">   <aff xml:lang="ru">  <institution>Тобольский индустриальный институт (филиал) ФГБОУ ВО «Тюменский индустриальный университет»</institution>   <country>Россия</country> </aff>    <aff xml:lang="en">  <institution>Tobolsk Industrial Institute (branch) of FSBEI of HE &quot;Tumen Industrial University&quot;</institution>   <country>Russia</country> </aff>   </aff-alternatives>  </contrib-group>   <fpage>58</fpage> <lpage>63</lpage>   <abstract xml:lang="ru"> <p>в данной статье представлены основные методы вычисления площадей многоугольников на решетках. Подробно рассмотрена и проиллюстрирована примерами формула Пика, выходящая за рамки школьной программы.</p> </abstract>      <trans-abstract xml:lang="en"> <p>this article presents basic methods of areas of polygons on lattices calculating. The authors considered in detail and illustrated with examples the formula of Pick, beyond the scope of the school program.</p> </trans-abstract>       <kwd-group xml:lang="ru">  <kwd>многоугольник</kwd>  <kwd>площадь многоугольник</kwd>  <kwd>формула Пика</kwd>  </kwd-group>    <kwd-group xml:lang="en">  <kwd>polygon</kwd>  <kwd>plygon area</kwd>  <kwd>Pick&#039;s formula</kwd>  </kwd-group>      </book-part-meta> </book-part> </front>  <back> <ref-list> <title>References</title>  <ref id="ref1"> <label>1</label> <citation-alternatives>  <mixed-citation xml:lang="ru">1. Вавилов В.В. В12 Многоугольники на решетках / В.В. Вавилов, А.В. Устинов. – М.: МЦНМО, 2006. – 72 с.</mixed-citation>    </citation-alternatives> <element-citation publication-type="other">  <person-group person-group-type="author">  <name> <surname>Вавилов</surname> <given-names>В. В.</given-names> </name>  <name> <surname>Устинов</surname> <given-names>А. В.</given-names> </name>  </person-group>   <article-title>В12 Многоугольники на решетках</article-title>               <publisher-loc>М.</publisher-loc> <publisher-name>МЦНМО</publisher-name>  </element-citation> </ref>  <ref id="ref2"> <label>2</label> <citation-alternatives>  <mixed-citation xml:lang="ru">2. Васильев И.Н. Вокруг формулы Пика // Научно-популярный физико-математический журнал «Квант». – 1974. – №12 [Электронный ресурс]. – Режим доступа: http://kvant.mccme.ru/1974/12/vokrug_formuly_pika.htm</mixed-citation>    </citation-alternatives> <element-citation publication-type="web">  <person-group person-group-type="author">  <name> <surname>Васильев</surname> <given-names>И. Н.</given-names> </name>  </person-group>   <article-title>Вокруг формулы Пика</article-title> <source>Научно-популярный физико-математический журнал «Квант»</source> <year>1974</year>  <issue>№12</issue>     <ext-link ext-link-type="uri">http://kvant.mccme.ru/1974/12/vokrug_formuly_pika.htm</ext-link>      </element-citation> </ref>  <ref id="ref3"> <label>3</label> <citation-alternatives>  <mixed-citation xml:lang="ru">3. Жарковская Н. Геометрия клетчатой бумаги. Формула Пика / Н. Жарковская, Е.  Рисс // Первое сентября. Математика. – 2009. – №23. – С. 24, 25.</mixed-citation>    </citation-alternatives> <element-citation publication-type="other">  <person-group person-group-type="author">  <name> <surname>Жарковская</surname> <given-names>Н.</given-names> </name>  <name> <surname>Рисс</surname> <given-names>Е.</given-names> </name>  </person-group>   <article-title>Геометрия клетчатой бумаги. Формула Пика</article-title> <source>Первое сентября. Математика</source> <year>2009</year>  <issue>№23</issue>           </element-citation> </ref>  <ref id="ref4"> <label>4</label> <citation-alternatives>  <mixed-citation xml:lang="ru">4. Пик Г. Википедия [Электронный ресурс]. – Режим доступа: https://ru.wikipedia.org/wiki/Пик,_Георг</mixed-citation>    </citation-alternatives> <element-citation publication-type="web">  <person-group person-group-type="author">  <name> <surname>Пик</surname> <given-names>Г.</given-names> </name>  </person-group>   <article-title>Википедия</article-title>         <ext-link ext-link-type="uri">https://ru.wikipedia.org/wiki/Пик</ext-link>      </element-citation> </ref>  </ref-list> </back>  </book>