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" The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 74
των Robert Simson - 1781 - 466 σελίδες
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...rectilineal angle. QED COR. From this it is manifest, that the straight line which is drawn at right angle* to the diameter of a circle from the extremity of...circle ; and that it touches it only in one point, because if it did meet the circle in two, it would fall within it (iii. 2). Also, it is evident that...

The Elements of Euclid: With Many Additional Propositions ..., Μέρος 1

Euclid - 1853 - 176 σελίδες
...the circle. frf) I. 12. (e) I. 19. 0 I. Def. 15. COROLLARY. Hence it is manifest that the straight line which is drawn at right angles to the diameter...of a circle from the extremity of it, touches the circumference of the circle, and that it touches it only in one point ; and further, that only one...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...remaining angle less than any rectilineal angle." QED Con. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touchas the circle ; and that it touches it only in one point, because, if it did meet the circle in...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...straight line EH less than EK. Wherefore, the diameter, &c. ui;.n. PROP. XVI. - THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle; and no straight line can be drawn between that straight line and the circumference...

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 346 σελίδες
...straight line AG cuts -he circle. COR. 1. From this it is manifest, that the straight line whichjs drawn at right angles to the diameter of a circle...circle ; and that it touches it only in one point ; because, if it did meet the circle in two, it would fall within it (2. 3.). Also it is evident that...

Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 σελίδες
...point within the triangle the arcs will together form a complete circumference. 2. The straight line drawn at right angles to the diameter of a circle from the extremity of it falls without the circle. If AB be a fixed chord of a circle, AC and AD any two other chords making...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 σελίδες
...whole and each of the parts are together equal to the square on the whole line. 3. The straight line drawn at right angles to the diameter of a circle from the extremity of it falls without the circle, and no straight line can be drawn from the extremity between that straight...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...than FG. (lll. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity between that straight...

Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 σελίδες
...therefore for the oars is in the Une of the Neatest width, AB. PROP. 16.— THEOn. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle , and no straight line can be drawn from the extremity between that straight...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...centre than FG. (in. def. 5.) Wherefore, the diameter, &c. QED PROP. XVI.— THEOREM. The straight line which is drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity between that straight...




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