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" Thus, of all straight lines drawn from a given point to a given straight line, that which is perpendicular to the given line is a minimum. "
Exercises on the geometry and measurement of plane figures, being solutions ... - Page 40
by Richard Wormell - 1883 - 192 pages
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...maximum. When a quantity is less than any other of the same class, k isi called a minimum. Thus, of all straight lines drawn from a 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...
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Elements of Geometry

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...
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Elements of Geometry...: Translated from the French for the Use of the ...

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...
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Elements of Geometry...: Translated from the French for the Use of the ...

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. /...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 418 pages
...maximum. When a quantity is less than any other of the same class, it is called a minimum. Thus, of all straight lines drawn from a given point to a given straight line, that which is perpendicular to the given line is a minimum. Of all straight lines drawn from a given...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...maximum. When a quantity is less than any other of the same class, it is called a minimum. Thus, of all straight lines drawn from a given point to a given straight line, that which is perpendicular to the given line is a minimum. Of all straight lines drawn from a given...
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An Elementary Treatise on Plane and Solid Geometry

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...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...maximum. When a quantity is less than any other of the same class, it is called a minimum. Thus, of all straight lines drawn from a given point to a given straight line, that which is perpendicular to the given line is a minimum. Of all straight lines drawn from a given...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...maximum. When a quantity is less than any other of the same class, it is called a minimum. Thus, of all straight lines drawn from a 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...
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Elements of Geometry

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...
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