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" A plane is a surface, in which, if two points be assumed at pleasure, and connected by a straight line, that line will lie wholly in the surface. "
Elements of Analytical Geometry: Embracing the Equations of the Point, the ... - Página 279
de Charles Davies - 1856 - 352 páginas
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 394 páginas
...is a curve line. V. A surface is that which has length and breadth, without height or thickness. VI. A plane is a surface, in which, if two points be assumed at will, and connected by a straight line, that line will lie wholly in the surface. VII. Every surface,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 páginas
...curve, a curved line. 5. A surface is that which has length and breadth, without height or thickness. 6. A plane is a surface, in which, if two points be assumed...straight line, that line ~will lie wholly in the surface. 7.. Every surface,-which is not a plane surface, or composed of plane surfaces, is a curved surface....
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Elements of Analytical Geometry: Embracing the Equations of the Point, the ...

Charles Davies - 1838 - 366 páginas
...to be perpendicular to the plane YZ, we shall find A = 0, and the equation of the plane will become PROPOSITION VIII. THEOREM. Every equation of the first...magnitude represented by the general equation of the first degree it will follow that that magnitude is a plane. Let x = az + *, y = bz + jB, be the equations...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 páginas
...curve, a curved line. 5. A surface is that which has length and breadth, without height or thickness. 6. A plane is a surface, in which, if two points be assumed...straight line, that line will lie wholly in the surface. 7. Every surface, which is not a plane surface, or composed of plane surfaces, is a curved surface....
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 páginas
...curve, a curved line. 5. A surface is that which has length and breadth, without height or thickness. 6. A plane is a surface, in which, if two points be assumed...straight line, that line will lie wholly in the surface. 7. Every surface, which is not a plane surface, or composed of plane surfaces, is a curved surface....
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - 1841 - 414 páginas
...curve, a curved line. 5. A surface is that which has length and breadth, without height or thickness. 6. A plane is a surface, in which, if two points be assumed...straight line, that line will lie wholly in the surface. 7. Every surface, which is not a plane surface, or composed of plane surfaces, is a curved surface....
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 páginas
...surface is that which lias two dimensions of extension, viz: length and breadth without thickness. 19. A plane is a surface in which if two points be assumed at pleasure and connected by a right line, that line will lie wholly in the surface. 20. Every surface which is not a plane surface,...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - 1846 - 386 páginas
...curve, a curved line. 5. A surface is that which has length and breadth, without height or thickness. 6. A plane is a surface, in which, if two points be assumed at pleasure, aad connected by a straight line, that line will lie wholly in the surface. 7. Every surface, which...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 páginas
...curve, a curved line. 5. A surface is that which has length and breadth, without height or thickness. 6. A plane is a surface, in which, if two points be assumed...straight line, that line will* lie wholly in the surface. 7. Every surface, which is not a plane surface, or composed of plane surfaces, is a curved surface....
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 páginas
...PLÄNE. [L. planas, even, flat]. A surface such that, if any two points be taken at pleasure and joined by a straight line, that line will lie wholly in the surface. A plane is supposed to extend indefinitely in all directions. A plane may be generated by a straight...
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