Chladni, Ernst Florens Friedrich: Die Akustik. Leipzig, 1802.
u. s. w.
u. s. w.
u. s. w. Es wird nicht nöthig seyn, die Untersuchungen solcher Verhältnisse gegenwärtig
u. ſ. w.
u. ſ. w.
u. ſ. w. Es wird nicht noͤthig ſeyn, die Unterſuchungen ſolcher Verhaͤltniſſe gegenwaͤrtig <TEI> <text> <body> <div n="1"> <div n="2"> <div n="3"> <div n="4"> <pb facs="#f0216" n="182"/> <table> <row> <cell cols="15"> <hi rendition="#g">Bey dem Verhaͤltniſſe der Durchmeſſer 1:<formula notation="TeX">\frac{3}{14}</formula>.</hi> </cell> </row><lb/> <row> <cell>1|1</cell> <cell>2|1</cell> <cell>3|1</cell> <cell>4|1</cell> <cell>5|1</cell> <cell>6|1</cell> <cell>7|1</cell> <cell>8|1</cell> <cell>9|1</cell> <cell>10|1</cell> <cell>11|1</cell> <cell>12|1</cell> <cell>13|1</cell> <cell>14|1</cell> <cell>15|1</cell> </row><lb/> <row> <cell/> <cell/> <cell/> <cell/> <cell>0|2</cell> <cell>1|2</cell> <cell>2|2</cell> <cell>3|2</cell> <cell>4|2</cell> <cell>5|2</cell> <cell>6|2</cell> <cell>7|2</cell> <cell>8|2</cell> <cell>9|2</cell> <cell>10|2</cell> </row><lb/> <row> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell>0|3</cell> <cell>1|3</cell> <cell>2|3</cell> <cell>3|3</cell> <cell>4|3</cell> <cell>5|3</cell> </row><lb/> <row> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell>0|4</cell> </row><lb/> <row> <cell>Summe<lb/> von<lb/><hi rendition="#aq">Q + 5L:</hi> 6</cell> <cell>7</cell> <cell>8</cell> <cell>9</cell> <cell>10</cell> <cell>11</cell> <cell>12</cell> <cell>13</cell> <cell>14</cell> <cell>15</cell> <cell>16</cell> <cell>17</cell> <cell>18</cell> <cell>19</cell> <cell>20</cell> </row><lb/> <row> <cell>Toͤne: <hi rendition="#aq">cis̅</hi> +</cell> <cell><hi rendition="#aq">cis̅̅</hi> +</cell> <cell><hi rendition="#aq">gis̅̅</hi> +</cell> <cell><hi rendition="#aq">d̄̄̄</hi> –</cell> <cell> <hi rendition="#aq">fis̅̅̅</hi> </cell> <cell><hi rendition="#aq">b̄̄̄</hi> +</cell> <cell> <hi rendition="#aq">d̄̄̄̄</hi> </cell> <cell> <hi rendition="#aq">f̄̄̄..fis̅̅̅̅</hi> </cell> <cell> <hi rendition="#aq">gis̅̅̅̅̅</hi> </cell> <cell> <hi rendition="#aq">b̄̄̄̄ .. h̄̄̄̄</hi> </cell> <cell> <hi rendition="#aq">cis̅̅̅̅̅ .. d̄̄̄̄̄</hi> </cell> <cell> <hi rendition="#aq">dis̅̅̅̅̅ .. ē̄̄̄̄</hi> </cell> <cell><hi rendition="#aq">fis̅̅̅̅̅</hi> –</cell> <cell> <hi rendition="#aq">ḡ̄̄̄̄ .. gis̅̅̅̅̅</hi> </cell> <cell> <hi rendition="#aq">ā̄̄̄̄</hi> </cell> </row> </table><lb/> <p> <hi rendition="#et">u. ſ. w.</hi> </p><lb/> <table> <row> <cell cols="14"> <hi rendition="#g">Bey dem Verhaͤltniſſe 1:<formula notation="TeX">\frac{3}{17}</formula>.</hi> </cell> </row><lb/> <row> <cell>1|1</cell> <cell>2|1</cell> <cell>3|1</cell> <cell>4|1</cell> <cell>5|1</cell> <cell>6|1</cell> <cell>7|1</cell> <cell>8|1</cell> <cell>9|1</cell> <cell>10|1</cell> <cell>11|1</cell> <cell>12|1</cell> <cell>13|1</cell> <cell>14|1</cell> </row><lb/> <row> <cell/> <cell/> <cell/> <cell/> <cell/> <cell>0|2</cell> <cell>1|2</cell> <cell>2|2</cell> <cell>3|2</cell> <cell>4|2</cell> <cell>5|2</cell> <cell>6|2</cell> <cell>7|2</cell> <cell>8|2</cell> </row><lb/> <row> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell>0|3</cell> <cell>1|3</cell> <cell>2|3</cell> </row><lb/> <row> <cell>Summe<lb/> von<lb/><hi rendition="#aq">Q + 6L:</hi> 7</cell> <cell>8</cell> <cell>9</cell> <cell>10</cell> <cell>11</cell> <cell>12</cell> <cell>13</cell> <cell>14</cell> <cell>15</cell> <cell>16</cell> <cell>17</cell> <cell>18</cell> <cell>19</cell> <cell>20</cell> </row><lb/> <row> <cell>Toͤne: <hi rendition="#aq">ē</hi> +</cell> <cell><hi rendition="#aq">ē</hi> +</cell> <cell><hi rendition="#aq">h̄</hi> +</cell> <cell><hi rendition="#aq">ē̄̄</hi> +</cell> <cell> <hi rendition="#aq">gis̅̅̅..ā̄̄</hi> </cell> <cell> <hi rendition="#aq">c̄̄̄̄ .. cis̅̅̅̅</hi> </cell> <cell><hi rendition="#aq">ē̄̄̄</hi> –</cell> <cell> <hi rendition="#aq">ḡ̄̄̄</hi> </cell> <cell> <hi rendition="#aq">b̄̄̄̄</hi> </cell> <cell> <hi rendition="#aq">c̄̄̄̄ .. cis̅̅̅̅̅</hi> </cell> <cell> <hi rendition="#aq">dis̅̅̅̅̅</hi> </cell> <cell> <hi rendition="#aq">f̄̄̄̄̄</hi> </cell> <cell><hi rendition="#aq">ḡ̄̄̄̄</hi> –</cell> <cell> <hi rendition="#aq">gis̅̅̅̅̅ .. ā̄̄̄̄</hi> </cell> </row> </table><lb/> <p> <hi rendition="#et">u. ſ. w.</hi> </p><lb/> <table> <row> <cell cols="14"> <hi rendition="#g">Bey dem Verhaͤltniſſe 1:<formula notation="TeX">\frac{3}{20}</formula>.</hi> </cell> </row><lb/> <row> <cell>1|1</cell> <cell>2|1</cell> <cell>3|1</cell> <cell>4|1</cell> <cell>5|1</cell> <cell>6|1</cell> <cell>7|1</cell> <cell>8|1</cell> <cell>9|1</cell> <cell>10|1</cell> <cell>11|1</cell> <cell>12|1</cell> <cell>13|1</cell> <cell>14|1</cell> </row><lb/> <row> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell>0|2</cell> <cell>1|2</cell> <cell>2|2</cell> <cell>3|2</cell> <cell>4|2</cell> <cell>5|2</cell> <cell>6|2</cell> <cell>7|2</cell> </row><lb/> <row> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell/> <cell>0|3</cell> </row><lb/> <row> <cell>Summe<lb/> von<lb/><hi rendition="#aq">Q + 7L:</hi> 8</cell> <cell>9</cell> <cell>10</cell> <cell>11</cell> <cell>12</cell> <cell>13</cell> <cell>14</cell> <cell>15</cell> <cell>16</cell> <cell>17</cell> <cell>18</cell> <cell>19</cell> <cell>20</cell> <cell>21</cell> </row><lb/> <row> <cell>Toͤne: <hi rendition="#aq">ḡ</hi></cell> <cell> <hi rendition="#aq">ḡ̄</hi> </cell> <cell> <hi rendition="#aq">d̄̄̄</hi> </cell> <cell> <hi rendition="#aq">ḡ̄̄</hi> </cell> <cell> <hi rendition="#aq">h̄̄̄</hi> </cell> <cell><hi rendition="#aq">dis̅̅̅̅</hi> –</cell> <cell> <hi rendition="#aq">fis̅̅̅̅</hi> </cell> <cell> <hi rendition="#aq">ā̄̄̄</hi> </cell> <cell><hi rendition="#aq">c̄̄̄̄̄</hi> –</cell> <cell><hi rendition="#aq">d̄̄̄̄̄</hi> +</cell> <cell><hi rendition="#aq">ē̄̄̄̄</hi> +</cell> <cell><hi rendition="#aq">fis̅̅̅̅̅</hi> +</cell> <cell> <hi rendition="#aq">gis̅̅̅̅̅</hi> </cell> <cell> <hi rendition="#aq">ā̄̄̄̄ .. b̄̄̄̄̄</hi> </cell> </row> </table><lb/> <p> <hi rendition="#et">u. ſ. w.</hi> </p><lb/> <p>Es wird nicht noͤthig ſeyn, die Unterſuchungen ſolcher Verhaͤltniſſe gegenwaͤrtig<lb/> noch weiter fortzuſetzen, da aus dem bisher geſagten das Naturgeſetz ſelbſt ſich hin-<lb/> laͤnglich ergiebt.</p> </div><lb/> </div> </div> </div> </body> </text> </TEI> [182/0216]
Bey dem Verhaͤltniſſe der Durchmeſſer 1:[FORMEL].
1|1 2|1 3|1 4|1 5|1 6|1 7|1 8|1 9|1 10|1 11|1 12|1 13|1 14|1 15|1
0|2 1|2 2|2 3|2 4|2 5|2 6|2 7|2 8|2 9|2 10|2
0|3 1|3 2|3 3|3 4|3 5|3
0|4
Summe
von
Q + 5L: 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Toͤne: cis̅ + cis̅̅ + gis̅̅ + d̄̄̄ – fis̅̅̅ b̄̄̄ + d̄̄̄̄ f̄̄̄..fis̅̅̅̅ gis̅̅̅̅̅ b̄̄̄̄ .. h̄̄̄̄ cis̅̅̅̅̅ .. d̄̄̄̄̄ dis̅̅̅̅̅ .. ē̄̄̄̄ fis̅̅̅̅̅ – ḡ̄̄̄̄ .. gis̅̅̅̅̅ ā̄̄̄̄
u. ſ. w.
Bey dem Verhaͤltniſſe 1:[FORMEL].
1|1 2|1 3|1 4|1 5|1 6|1 7|1 8|1 9|1 10|1 11|1 12|1 13|1 14|1
0|2 1|2 2|2 3|2 4|2 5|2 6|2 7|2 8|2
0|3 1|3 2|3
Summe
von
Q + 6L: 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Toͤne: ē + ē + h̄ + ē̄̄ + gis̅̅̅..ā̄̄ c̄̄̄̄ .. cis̅̅̅̅ ē̄̄̄ – ḡ̄̄̄ b̄̄̄̄ c̄̄̄̄ .. cis̅̅̅̅̅ dis̅̅̅̅̅ f̄̄̄̄̄ ḡ̄̄̄̄ – gis̅̅̅̅̅ .. ā̄̄̄̄
u. ſ. w.
Bey dem Verhaͤltniſſe 1:[FORMEL].
1|1 2|1 3|1 4|1 5|1 6|1 7|1 8|1 9|1 10|1 11|1 12|1 13|1 14|1
0|2 1|2 2|2 3|2 4|2 5|2 6|2 7|2
0|3
Summe
von
Q + 7L: 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Toͤne: ḡ ḡ̄ d̄̄̄ ḡ̄̄ h̄̄̄ dis̅̅̅̅ – fis̅̅̅̅ ā̄̄̄ c̄̄̄̄̄ – d̄̄̄̄̄ + ē̄̄̄̄ + fis̅̅̅̅̅ + gis̅̅̅̅̅ ā̄̄̄̄ .. b̄̄̄̄̄
u. ſ. w.
Es wird nicht noͤthig ſeyn, die Unterſuchungen ſolcher Verhaͤltniſſe gegenwaͤrtig
noch weiter fortzuſetzen, da aus dem bisher geſagten das Naturgeſetz ſelbſt ſich hin-
laͤnglich ergiebt.
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Zitationshilfe: | Chladni, Ernst Florens Friedrich: Die Akustik. Leipzig, 1802, S. 182. In: Deutsches Textarchiv <https://www.deutschestextarchiv.de/chladni_akustik_1802/216>, abgerufen am 25.08.2024. |