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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 ... - Page 1
by Euclides - 1853
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...I. A point is that which, has no parts, or magnitude. II. • A line is length without breadth. III. The extremities of a line are points. IV. A straight line is the shortest distance between two points. T. A figure is that which is enclosed by one or moro boundaries....
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...extremities of lines are points. [It is clear that the intersections of lines are also points.] 4. A straight line is that which lies evenly between its extreme points. [When the direction of a line is known, the line is said to be given in position ; also when its length...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 426 pages
...has 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 has only length and breadth. 6. The extremities of superficies are lines....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...,~" " r ' . .' </ 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 has only length and breadth. 6. The extremities of a superficies are...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...letters, placed on the line, or at its extremities. A" B 3. THE EXTREMITIES of a line are points. 4. A STRAIGHT LINE is that which lies evenly between its extreme points. This is sometimes called a right line. 5. A SUPERFICIES is that which has only length and breadth....
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...juice, which is collected in troughs and put into casks. Pitch and tar also got from the fir. Euclid. I. A straight line is that which lies evenly between its extreme points. A plane superficies is that in which, any two points being taken, the straight line between them lies...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...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 or surface is that which has only length and breadth.' G. ' The extremities of a...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...has 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 has only length and breadth. 6. The extremities of a superficies are...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...no magnitude. II. A line is length without breadth. III. Points are the extremities of a line. TV. A straight line is that which lies evenly between its extreme points. V. A superficies has only length and breadth. VI. The extremities of a superficies are lines. VII. A plain superficies...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...redundant. 3. LINES. 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. A physical line has breadth, however little, and even some thickness or depth ; we could not sec its...
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