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 ## Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angle which this line makes with the line touching the circle shall be equal... ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...therefore FC is perpendicular to DE. \VTierefore, if a straight line &c. QED PROPOSITION 19. THEOREM. If a straight line touch a circle, and from the point of contact a straight line lie drawn at right angles to the touching line, the centre of the circle shall be in that line. Let... ## Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...has to the fourth ? 8. The sides about the equal angles of equiangular triangles are proportional. If a straight line touch a circle, and from the point of contact two chords be drawn, and if from the extremity of one of them a straight line be drawn parallel to... ## The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...the square on the line between the points of section, is equal to the square on half the line. 11. If a straight line touch a circle, and from the point...line, the centre of the circle shall be in that line. 12. If from a point without a given circle any two lines be drawn cutting the circle, determine a point... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...extremities without producing it, by means of the first part of this proposition. VS. OP. XXXII THEOREM. 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 straight line makes with the tangent are equal to the anyles... ## The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...of a parallelogram is equal to the sum of the squares on the diagonals. 8. If a straight line iouch 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... ## Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 pages
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3, If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angle which this line makes with the line touching the circle shall be equal... ## The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...to the circumference, and prove that it is not equal to either of . these three straight lines. 7. 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 straight line makes with the line touching the circle shall... ## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 292 pages
...right angle; wherefore the other, ADC, is greater than a right angle. Proposition 22. Theorem. — If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line which touches the circle, will be equal... 