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" 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 circle. "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Σελίδα 65
των Royal Military Academy, Woolwich - 1853
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 σελίδες
...less. PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point of contort 9 straight line be drawn cutting the circle, the angles made by this line iirith the line touching the circle must be equal to the angles, which are in the alternate segments...

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Moffatt and Paige - 1879 - 378 σελίδες
...the two lines AK, AB, are equally inclined to AE. (QED) 12. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, Hie angles which this line makes with the line touchiiig the circle shall be equal to the angles which...

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Joseph Wollman - 1879 - 120 σελίδες
...the point of contact a straight line be drawn meeting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles in the alternate segments of the circle. If a tangent be defined as the limiting position of a secant,...

(Report).

Elizabethan club - 1880 - 156 σελίδες
...the parts shall be equal to the square on the other part. 7. If a straight line touch a circle, and from the point of contact a straight line be drawn...which are in the alternate segments of the circle. A circle is described about the triangle ABC, and the angle BAG is bisected by the straight line AE...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...circumference in E and F. The arc AF shall be treble the arc BE. 8. 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 be equal to the angles which...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...right angles. * " [I. Definition 10. PROPOSITION 32. 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 line makes with the line touching the circle shall be equal to the angles which are in the...

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

Education Ministry of - 1880 - 238 σελίδες
...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 to the angles in the alternate...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 σελίδες
...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 in the alternate segments of...

The Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882 - 418 σελίδες
...and BD at the centre are together double of the angle AEG. 2. If a straight line touch a circle, and from the point of contact a straight line be drawn...made by this line with the line touching the circle must be equal to the angles, which are in the alternate segments of the circle. Through a given point...

The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 σελίδες
...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 be equal to the angles in the...




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