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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Instructions Given in the Drawing School Established by the Dublin Society ... - Side 8
av Joseph Fenn - 1769
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted that a straight line may be drawn from any one point to any other point. n. That a terminated straight line may be produced to any length in a straight line. in. And that a...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...being produced ever so far both ways, do not meet. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...being produced ever so far both ways, do not meet. POSTULATES. L Let it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. And that...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...opposite corners, or vertices, is called a diagonal. POSTULATES. Let it be granted that a straight line may be drawn from any one point to any other point. ii. That a terminated straight line may be prolonged to any length in a straight line. And that a circle...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...space between the lines is always of the same breadth. POSTULATES. i Let it be granted, that a straight line may be drawn from any one point to any other point. When a straight line is drawn from one point to another point, the points are said to be joined. The...
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Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - 1856 - 216 sider
...POSTULATE signifies something which may be assumed as granted. Hence it may be granted, 1st, That a right line may be drawn from any one point to any other point : 2dly, That a line may be produced, that is, continued or lengthened at pleasure : 3dly, That a circle...
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Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856
...being produced ever so far both ways, do not meet. POSTULATES. r Let it be granted, that a straight line may be drawn from any one point to any other point. n. That a terminated straight line may be produced to any length in a straight line. And that a circle...
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The Atlantic Monthly

1859
...artistic and scientific achievements upon the black-board, says': "Let it be granted that a straight line may be drawn from any one point to any other point," I invariably answer, " Of course, — by all manner of means," — although you know, dear Don, that,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...length in a st. line. P. 3. Prom the greater line to cut off a part equal to the less. Pst. 1. A st. line may be drawn from any one point to any other point. DEMONSTRATION. — P. 4. If two triangles have two sides and their included angle of one triangle equal...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 sider
...is contained an exact number of times in each of thsm. BOOK V. PROS LEM.S. Postulates. 1. A straight line may be drawn from any one point to Any other point. 2. .A terminated straight line may be produced to any length in a straight line. 3. From the greater...
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