 | Jeremiah Day - Measurement - 1815 - 388 pages
...circle, the sine of 90° is a maximum. When a quantity is less than any other of the same class, k isi called a minimum. Thus, of all straight lines drawn...given point to a given straight line, that which is perSendicular to the given line is a minimum. Of all straight nes drawn from a given point in a circle... | |
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...drawn from one point of the circumference to another, and a perpendicular is a minimum among all the straight lines drawn from a given point to a given straight line. 299. Those figures which have equal perimeters are called isoperimetrical figures. THEOREM. 300. Among... | |
 | Jeremiah Day - Geometry - 1824 - 440 pages
...among them all, the diameter is a maximum. Of all sines of angles, which can be drawn in a ciicle, the sine of 90° is a maximum. When a quantity is...of all straight lines drawn from a given point to a pven straight line, that which is perpendicular to the given line is a minimum. Of all straight lines... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...drawn from one point of the circumference to another, and a perpendicular is a minimum among all the straight lines drawn from a given point to a given straight line. 299. Those figures which have equal perimeters are called isoperimetrical figures. .». THEOREM. /... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...drawn from one point of the circumference to another, and a perpendicular is a minimum among all the straight lines drawn from a given point to a given straight line. 299. Those figures which have equal perimeters are called isoperimetrical figures. THEOREM. 300. Among... | |
 | Jeremiah Day - Measurement - 1831 - 394 pages
...12. What is the solidity of a spherical segment 4 feet high, cut from a sphere 1 6 feet in diameter ? SECTION V. Art. 77. IT is often necessary to compare...given point in a circle, to the circumference, the ?naximiim and minimum are the two parts of the diameter which pass through that point. (Euc. 7, 3.)... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...circle is a maximum among ail inscribed straight lines ; and a perpendicular is a minimum among all the straight lines drawn from a given point to a given straight line. 302. Theorem. The maximum of isoperimetrical triangles of the same base is that triangle in which the... | |
 | Jeremiah Day - Geometry - 1839 - 434 pages
...spherical segment 4 feet high, cut from a sphere 16 feet in diameter ? 61 SECTION V. 1SOPERIMETRY. ART. 77. IT is often necessary to compare a number...given point to a given straight line, that which is perEendicular to the given line is a minimum. Of all straight nes drawn from a given point in a circle,... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...drawn from one point of the circumference to another, and a perpendicular is a minimum among all the straight lines drawn from a given point to a given straight line. 299. Those figures which have equal perimeters are called isoperimetrical figures. THEOREM. 300. Among... | |
 | Benjamin Peirce - Geometry - 1847 - 204 pages
...circle is a maximum among all inscribed straight lines ; and a perpendicular is a minimum among all the straight lines drawn from a given point to a given straight line. 303. Theorem. The maximum of isoperimetrical triangles of the same base is that triangle in which the... | |
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When a quantity is greater than any other of the same class, it is called a maximum. A multitude of straight lines, of different lengths, may be drawn within a circle. But among them all, the diameter is a maximum. Of all sines of angles, which can be... 
