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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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 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. m. And that a...

Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 σελίδες
...for othcrwife., two right lines in different planes, the one in POSTULATES or PETITIONS. , .i. Grant that a right line may be drawn from any one point to another point. 2. That a finite right line may be continued uire&ly forwards. 3. That a circle may...

Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - 1769
...are parallel, it tolled a Parallelogram. Fig. 25. POSTULATES. I. JL/ET 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 circle...

Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 σελίδες
...the fame Plane, which, if infinitely -produc'd bulb Ways, would never meet. POSTULATES. \.(~>RA NT that a Right Line may be drawn from any one Point to another. II. That a finite Right Line may be continued direflly forwards. III. And that a Circle may...

The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 σελίδες
...parallel Lines if infinitely produced could never meet, is demonffirated in Article 96. POSTULATES. i. 41. Let it be granted that a right Line may be drawn from any one Point ro another. 2. 42. That a finite right Line may be produced to any Length in a right Line. 343. And...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 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. That a terminated (traight line may be produced to any length in a ftraight line. III. And that a circle...

The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 318 σελίδες
...never meet. XXXVI. A parallelogram is a figure whofe oppofite fides are parallel. POSTULATES. GRANT that a right line may be drawn from any one point to another : II. That a finite right line may be continued dire£Uy forwards : And, III. That a circle...

The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 324 σελίδες
...never meet. XXXVI. A parallelogram is a figure whofe oppofite fides are parallel. POSTULATES. I. GRANT that a right line may be drawn from any one point to another : II. That a finite right line maybe continued direftly forwards: And, That a circle may be...

The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 324 σελίδες
...each other on neither, are PARALLELS'. POSTULATES. i. Let it be taken for granted, that a ftraight line may be drawn from any one point to any other point. 2. And that a finite ftraight line may be produced in a ftraight line continually. 3. Alfo that a circle...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 σελίδες
...being produced ever fo far both ways, do not meet. POSTULATES. I. LET it be granted that a ltraight line may be drawn from any one point to any other point. 'IJiaJt a terminated ftraight line may be produced to any length in a ftraight line. IIf; -And that...




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