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},
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},
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"title": "Биссектриса угла как ГМТ"
},
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"num": "§ 8",
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"chapter_slug": "geometry-8-ch1",
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"num": "§ 9",
"title": "Ромб. Свойство диагоналей ромба. Признаки ромба"
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{
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{
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"chapter_slug": "geometry-8-ch1",
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"para_id": "p11",
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},
{
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"chapter_slug": "geometry-8-ch1",
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"para_id": "p12",
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"title": "Свойство медиан треугольника"
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{
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"para_id": "p13",
"num": "§ 13",
"title": "Свойство средней линии треугольника"
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{
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"chapter_slug": "geometry-8-ch1",
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"para_id": "p14",
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"title": "Трапеция. Свойство средней линии"
},
{
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"chapter_slug": "geometry-8-ch1",
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"grade": 8,
"para_id": "p15",
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"title": "Свойство углов и диагоналей равнобедренной трапеции"
},
{
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"chapter_slug": "geometry-8-ch1",
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"grade": 8,
"para_id": "p16",
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"title": "Признаки равнобедренной трапеции"
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{
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"grade": 8,
"para_id": "p1",
"num": "§ 1",
"title": "Площадь квадрата"
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{
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"para_id": "p2",
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{
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"chapter_slug": "geometry-8-ch2",
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},
{
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"chapter_slug": "geometry-8-ch2",
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{
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{
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{
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{
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"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p8",
"num": "§ 8",
"title": "Высота, проведённая к гипотенузе"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
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"grade": 8,
"para_id": "p9",
"num": "§ 9",
"title": "Треугольники с общей высотой"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p10",
"num": "§ 10",
"title": "Свойства медианы для площадей"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p11",
"num": "§ 11",
"title": "Теорема Пифагора"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch2",
"subject": "geometry",
"grade": 8,
"para_id": "p12",
"num": "§ 12",
"title": "S и h равностороннего треугольника"
},
{
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"chapter_slug": "geometry-8-ch2",
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"grade": 8,
"para_id": "p13",
"num": "§ 13",
"title": "Диагональ квадрата"
},
{
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"chapter_slug": "geometry-8-ch2",
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"para_id": "p14",
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},
{
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"chapter_slug": "geometry-8-ch2",
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"para_id": "p15",
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"title": "Пифагоровы тройки"
},
{
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"chapter_slug": "geometry-8-ch3",
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"para_id": "p1",
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"title": "Теорема Фалеса (обобщённая)"
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{
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"chapter_slug": "geometry-8-ch3",
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"grade": 8,
"para_id": "p2",
"num": "§ 2",
"title": "Деление отрезка в отношении m : n"
},
{
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"chapter_slug": "geometry-8-ch3",
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"title": "Определение подобных треугольников"
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{
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"chapter_slug": "geometry-8-ch3",
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"title": "Свойство прямой, параллельной стороне треугольника"
},
{
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"chapter_slug": "geometry-8-ch3",
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"para_id": "p5",
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"title": "Первый признак подобия. Следствие"
},
{
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"chapter_slug": "geometry-8-ch3",
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"title": "Второй признак подобия"
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{
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"chapter_slug": "geometry-8-ch3",
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"para_id": "p7",
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"title": "Третий признак подобия"
},
{
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"chapter_slug": "geometry-8-ch3",
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"para_id": "p8",
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"title": "Свойство биссектрисы треугольника"
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{
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"chapter_slug": "geometry-8-ch3",
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"para_id": "p9",
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"para_id": "p1",
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"title": "Касательная. Признак касательной"
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{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
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"title": "Свойство касательной"
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"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
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"title": "Свойство касательных из одной точки"
},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
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"para_id": "p4",
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"title": "Построение касательной"
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{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
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"para_id": "p5",
"num": "§ 5",
"title": "Свойство окружностей, вписанных в угол"
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{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
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{
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"para_id": "p7",
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},
{
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"chapter_slug": "geometry-8-ch4",
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"para_id": "p8",
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},
{
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},
{
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"chapter_slug": "geometry-8-ch4",
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"para_id": "p10",
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},
{
"book": "geometry-8",
"chapter_slug": "geometry-8-ch4",
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},
{
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"chapter_slug": "geometry-8-ch4",
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},
{
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"chapter_slug": "geometry-8-ch4",
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{
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},
{
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"chapter_slug": "geometry-8-ch4",
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"title": "Свойство пересекающихся хорд"
},
{
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"chapter_slug": "geometry-8-ch4",
"subject": "geometry",
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"para_id": "p16",
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"title": "Свойство касательной и секущей"
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"title": "Функция числового аргумента"
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{
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{
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{
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"title": "Метод интервалов"
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"title": "Арифметическая прогрессия"
},
{
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"chapter_slug": "algebra-9-ch4",
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"para_id": "p16",
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"title": "Сумма арифм. прогрессии"
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{
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{
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"title": "Сумма геом. прогрессии"
},
{
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"para_id": "p19",
"num": "§ 19",
"title": "Бесконечно убывающая"
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"para_id": "p1",
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{
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"chapter_slug": "geometry-9-ch1",
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{
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"title": "Тригонометрические формулы"
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{
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{
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"title": "Формулы площади"
},
{
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"chapter_slug": "geometry-9-ch1",
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"para_id": "p6",
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"title": "Среднее геометрическое"
},
{
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"title": "Описанная и вписанная окружности треугольника"
},
{
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"chapter_slug": "geometry-9-ch2",
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"para_id": "p8",
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"title": "Окружности прямоугольного треугольника"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch2",
"subject": "geometry",
"grade": 9,
"para_id": "p9",
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"title": "Вписанные и описанные четырёхугольники"
},
{
"book": "geometry-9",
"chapter_slug": "geometry-9-ch3",
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"para_id": "p10",
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"title": "Теорема синусов"
},
{
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"para_id": "p11",
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"title": "Теорема косинусов"
},
{
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"chapter_slug": "geometry-9-ch3",
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"title": "Формула Герона. Решение треугольников"
},
{
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"chapter_slug": "geometry-9-ch4",
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"grade": 9,
"para_id": "p13",
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"title": "Правильные многоугольники"
},
{
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"chapter_slug": "geometry-9-ch4",
"subject": "geometry",
"grade": 9,
"para_id": "p14",
"num": "§ 14",
"title": "Формулы радиусов"
},
{
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"chapter_slug": "geometry-9-ch4",
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"grade": 9,
"para_id": "p15",
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"title": "Треугольник, квадрат, шестиугольник"
},
{
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"para_id": "p16",
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"title": "Длина окружности и площадь круга"
}
]