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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 ... - Σελίδα 1
των Euclides - 1853
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Answers to questions on the instruction of musketry and the Hythe papers

Elphinstone Waters Begbie - 1862 - 80 σελίδες
...so as to form a pike for the soldier. 9. It is an imaginary line along the centre of the barrel. 10. A straight line is that which lies evenly between its extreme points, and a line is length without breadth. 11. No; for although we may draw lines for all practical purposes,...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...but not 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. 6. The extremities of a superficies...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...thickness. 6. The extremities of a superficies are lines. 7. A plane surface, (planus, level, flat,) is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERON. „ " A plane surface is that which lies evenly,...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...POINT is that which has no parts, or which has no magnitude. II. A line is length without breadth. m. The extremities of a line are points. IV. A straight...lines. VII. A plane superficies is that in which any *wo points being taken, the straight line between them lies wholly in that superficies. VIII. A plane...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...POINT is that which has no parts, or which has no magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight...breadth. VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any +wo points being taken, the straight line between them...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...is that which hath no parts, or which ha!h no magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight...its extreme points. V. A superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies...

Outlines of geometry; or, The motion of a point

Walter Marsham Adams - 1866
...each three consecutive points is equal to the negative. And this is what is meant by the definition : "A straight line is that which lies evenly between its extreme points." CHAPTER XI. THE STKAIGHT LINE CONTINUED. SINCE the law of motion in a straight line fixes the third...

An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866
...or 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 super/ides is that which hath only length and breadth. 6. The extremities of a superficies are...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...•magnitude. 'i2. A line is length without breadth. 3. The extremities of a line are points. -t ' 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...

Arts and Sciences: Or, Fourth Division of "The English Encyclopedia", Τόμος 3

Charles Knight - 1867
...of the word, followed by an assumption of a mathematical property under the shape of an axiom. Thus a straight line is " that which lies evenly between its extreme points ;" while the real definition, or distinction between straightness and every thing else is contained...




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