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" A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. vm. "A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 1
av Euclides - 1853
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...magnitude. II. A line is length without breadth. III. The extremities of lines are points. IV. A right line is that which lies evenly between its extreme...has only length and breadth. VI. The extremities of superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...the first book ; which for the sake of this proposition ought to be as follows : — A plane surface is that in which any two points being taken, the straight line passing through them lies wholly in I U. t Bin-face. duced to D ; and let any plane pass through AD,...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845
...but no magnitude. 2. A line is length without breadth. 3. The extremities of a line are points. 4. A straight line is that which lies evenly between its extreme points. 5. A superficies is that which hath only length and breadth. 6. The extremities of a superficies are...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...I. A point is that which has position, but not magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight...VII. A plane superficies is that in which any two «r C angle; and the straight line which stands on the other, is called a perpendicular to it. XI....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...hath no magnitude. n. A line is length without breadth. nI, The extremities of a line are points. IT. A straight line is that which lies evenly between its extreme points. v. A superficies is that which hath only length and breadth. vi. The extremities of a superficies are lines. vn. A plane superficies...
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The New American Practical Navigator; Being an Epitome of Navigation ...

Nathaniel Bowditch - 1846 - 451 sider
...RIGHT LINE, is the shortest distance between the two points which limit its length/is AC. 4 g III. A PLANE SUPERFICIES is that in which any two points being taken, the straight line between diem lies wholly in that surface. IV. PARALLEL LINES are such as are in the same plane, and which,...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volum 44

1846
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane; and a plane superficies is that in which any two points being taken, the straight line which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions only, and...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volum 44

Perry Fairfax Nursey - 1846
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane ; and a plane superficies is that in which any two points being taken, tho straight line which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions...
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...termination — as circles and other curvilinear figures — are not of course taken into the account. 4. A straight line is that which lies evenly between its extreme points. In other words, it is the shortest of all lines which have the same extreme points, according to the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...parts, or which has no magnitude. II. A line is length without breadth. III. The extremities of lines are points. IV. A straight line is that which lies...has only length and breadth. VI. The extremities of superficies are lines. , VII. A plane superficies is that in which any two points being taken, the...
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