Books Books 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... A companion to Euclid: being a help to the understanding and remembering of ... - Page 61
by Euclides - 1837 - 88 pages ## Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 pages
...pass through one point within the triangle the arcs will together form a complete circumference. 2. The straight line drawn at right angles to the diameter...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 equal angles with AB; prove... ## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...contained by the 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...without the circle, and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle. VOLUNTARY... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...square on EH is less than the square on EK, EH is less than EK. henee the straight line PROPOSITION XVI. THEOREM. The straight line drawn at right angles to...from the extremity of it, falls without the circle ; (2) and a straight line making an acute angle with the diameter at its extremity cuts the circle.... ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...conversely, the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. The straight Ime drawn at right angles to the diameter of a circle,...of it, falls without the circle ; and no straight Une . can be drawn between that straight line and the circumference, from the extremity of the. diameter,... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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, if it did meet... ## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...The best position 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...without the circle , and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle ;... ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...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,...without the circle ; and no straight line can be drawn from the extremity between that straight line and the circumference, which does not cut the circle,... ## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...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 if it did meet... ## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...BCis nearer to the center than FG. (iil. def. 5.) Wherefore the diameter, &c. Q.KD. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to...without the circle; and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle :... 