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" LET it be granted that a straight line may be drawn from any one point to any other point. "
The Elements of Euclid [book 1] for beginners, by J. Lowres - Σελίδα 10
των Euclides - 1852
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 476 σελίδες
...in the fame Plane, which, if infinitely produced both Ways, would never meet. POSTULATES. I. (^R ANT that a Right Line may be drawn from any one Point to another. II. That a finite Right Line may be continued direftly forwards. III. And. that a Circle may...

Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 σελίδες
...one which ftands at the angular point, muft * always be placed in the middle. POST UPOSTULATES. • 1. Let it be granted that a right line may be drawn from any one given point to another. 2. That a terminated right line, may be produced to any length in a right line....

The philosophical and mathematical commentaries of Proclus ... on the first ...

Proclus (Diadochus.) - 1789 - 474 σελίδες
...found to refide in number and magnitude. PETITIONS or POSTULATES. I. Let it be granted that a flraight line may be drawn from any one point to any other point. II. That a terminated ftraight line may be produced to any length in a ftraight line. III. And that...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 σελίδες
...being produced ever fo far both ways, do not meet. POSTULATES. I, LET it be granted that a ftraight line may be drawn from any one point to any other point. II. That a terminated ftraight line may be produced to any length in a ftraight line. III. And that...

An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 120 σελίδες
...granted, to prevent cavils. Euclid's poftulates are, 1. Let it be granted, that a ftraight line may he drawn from any one point to any other point. 2. That a terminated ftraight line may be produced to any length, in a ftraight line. 3That a circle may be defcribed from...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...ever fo far both ways, do not »... — meet;, PO. POSTULATES. I. LET it be granted that a ftraight line may be drawn from any one point to any other point. That a terminated ftraight line may be produced to any length, in a ftraight line. III. And that a...

Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 470 σελίδες
...of three letters, the one which ftands at the angular point, muft always be placed in the middle. i POSTULATES. :! 1. Let it be granted that a right line may be drawn from any one given point to another. 2. That a terminated right line, may be produced to any length in a right line....

Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 306 σελίδες
...letters, the one which ftand» at the angular point, muft always be placed in the middle. POSTULATES. J. Let it be granted that a right line may be drawn from any one given point to another. 2. That a terminated right line, may be produced to any length in a right line....

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...being produced ever fo far both ways, do not meet. POSTULATES. I. ET it be granted that a ftraight line may be drawn from any one point to any other point. II. That a terminated ftraight line may be produced to any length in a ftraight line. HI. And that...

An Easy Introduction to the Mathematics: In which the Theory and ..., Τόμος 2

Charles Butler - 1814 - 528 σελίδες
...opportunity of practical as well as mental improvement. 83. Postulate 1. If it be granted, that " a straight line may be drawn from any one point to any other point," it follows as an evident consequence, that a straight line can be drawn from the point A to the point...




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