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" 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 segments. "
Bulletin - Σελίδα 233
1917
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 326 σελίδες
...and from the point of contact a right •*• line be drawn to the circle, the angles that right line makes with the tangent are equal to the angles in the alternate feements of the circle. Let the right line EF touch the circle ABCD in the point B; from any point...

Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 σελίδες
...contact (A) a straight line (AB) is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to the angles in the alternate segments of the circle. From the point of contact A draw AC perpendicular to EF, and join CB; in the segment...

The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 σελίδες
...point of contact a straight line is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to the angles in the alternate segments of the circle. PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle containing...

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

Euclides - 1855 - 270 σελίδες
...point of contact a straight line bе drawn cutting the circle • the. angles which this straight line makes with the tangent are equal to the angles in the alternate segments of the circle. Let th2 straight line EF touch the circle AB СD at the point B ; and from the point...

Chapters on the Modern Geometry of the Point, Line, and Circle ..., Τόμοι 1-2

Richard Townsend - 1863 - 748 σελίδες
...is perpendicular to the tangent XY. Ex. 3°. At every point on a circle the angles made by any chord with the tangent are equal to the angles in the alternate segments, (Euc. III. 32). Let P be the point, PR the chord, XY any line passing through P, Q the other point...

The Edinburgh university calendar

Edinburgh univ - 1871 - 392 σελίδες
...from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the tangent are equal to the angles in the alternate segments of the circle. 4. To describe an isosceles triangle having each of the angles at the base double the...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...shall pass through tho point of contact. 3. If a straight line touch a circle, and from the point of 8 contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the angles in the alternate segments of tho circle. 4. To inscribe a regular pentagon...

Annual Report of the Commissioners ..., Τόμος 64

1898 - 830 σελίδες
...it. 2. If a chord of a circle be drawn from the point of contact of a tangent, the angles which the chord makes with the tangent are equal to the angles in the alternate segments respectively. Prove this in two ways 3. ABC is any triangle, and perpendiculars BE and CD are drawn...

The School World, Τόμος 3

1901 - 548 σελίδες
...and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the tangent are equal to the angles in the alternate segments of the circle. (6) Inscribe a regular hexagon in a given circle. B. (7) ABCD, AB'C'D' are parallelograms...

Report of the Committee of Council on Education in Scotland...[without Appendix]

1901 - 808 σελίδες
...line be a tangent to a circle, and a chord tie drawn from the point of contact, the angles which the chord makes with the tangent are equal to the angles in the alternat« segments of the circle. I'T is a tangent and PQ.lt is a secant to the circle Q1!T, a circle...




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