Books Books If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the... Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 69
by Euclid - 1845 - 199 pages ## Bulletin, Issues 22-33

Education - 1917 - 1034 pages
...Measure the side of the square. Skow clearly all the construction lines in your figure. B. B 5. Show that if a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate... ## The Examination Statutes ... Together with the Regulations of the Boards of ...

University of Oxford - Universities and colleges - 1913 - 386 pages
...The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse. If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate... ## Annual Report

Saskatchewan. Department of Education - Education - 1910 - 260 pages
...its diagonals by four times the square on the line joining the middle points of the diagonals. 3. (a) If a straight line touch a circle and from the point of contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the angles which... ## The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...centered at O, and let P be a point on its circumference. By Proposition 20 above, qed Proposition 32. If a straight line touch a circle, and from the point of contact there be drawn across, in the circle, a straight line cutting the circle, the angles which it makes... ## The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Mathematical Association of America - Mathematics - 2003 - 572 pages
...is greater than a right angle, and the angle of the less segment less than a right angle. Prop. 32: If a straight line touch a circle, and from the point of contact there be drawn across, in a circle, a straight line cutting the circle, the angles which it makes with... ## Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 pages
...can be drawn only two equal straight lines to the circumference, one on each side of the diameter. 5. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal... ## Calendar

University of Cambridge - 1870 - 782 pages
...the squares on the straight lines joining /•' to the same points by four times the square on EF. 3. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal... ## Examination,Midsummer,1879

Education Department - 1879 - 1136 pages
...equal to the angle at the circumference of the other if the angles are subtended by equal arcs. 6. If a straight line touch a circle and from the point of contact a straight line be drawn cutting a circle, the angle which this line makes with the line touching the circle shall be equal... ## Calendar

University of St. Andrews - 1900 - 670 pages
...as old as B. Find their present ages. 7. If a, b, c, d be in continued proportion, prove that B. 8. If a straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle, the angles which this line makes with the line touching the circle are respectively... 