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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, touches the circle; and that it touches it only in one point, because, if it did meet the circle in two, it would fall...
Practical geometry for art students - Page 35
by John Carroll (art master.) - 1881

## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angle, and the remaining angle less than any rectilineal angle." COB. '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, touches the circle; and that it touches it only in one point, because, if it did...

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

Euclid - Geometry - 1853 - 176 pages
...circumference of 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...

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

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle, and the 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...

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

Robert Potts - Geometry, Plane - 1860 - 380 pages
...must pass between that straight line and the perpendicular AE. QED COB. 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 touches the circle ; (In. def. 2.) and that it touches it only in one point, because,...

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

Euclides - 1862 - 172 pages
...nearer to the 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...

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

Euclides - 1862 - 140 pages
...But DK is equal to DA; therefore DH is less than DK. 4. Therefore the point H is within the circle. which is drawn at right angles to the diameter of a circle, from the extremity of it, touches the circle (III. def. 2); and that it touches it only in one point, because...

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

Euclides - 1864 - 448 pages
...must pass between that straight line and the perpendicular AE. QED COR. 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 touches the circle ; (ln. def. 2.) and that it touches it only in one point, because,...

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

Euclides - 1865 - 402 pages
...is nearer to the centre than FC. (m. def. 5.) Wherefore, the diameter, &c. QED PROP. XVL— 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...