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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 made by this line with the line which touches the circle, shall be equal to the angles in the alternate segments of the circle. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 81
των John Playfair - 1837 - 318 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...angles. PROP. XXXII. THEOR. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, fhall be equal to the angles which are in the alternate fegjneuts of the circle....

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 σελίδες
...angles. PROP. XXXH. THEO R. TF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, mail be equal to the angles which are in the alternate fegments of the circle....

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 σελίδες
...PROP. XXXII. THEO R. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, fhall be equal to the angles which arc in the alternate iegments of the circle....

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...angle. PROP. XXXII. THEOR. IF a flraight line touches a circle, and from the point of contact a rtraight line be drawn, cutting the circle, the angles made by this line, with the line touching the circle, fliall be equal to the angles which are in the alternate fegments of the circle....

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...angles^ PROP. XXXII, THEOR. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, (hall be equal to the angles which are in the alternate fegments of the circle....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...perpendicular to DE. Therefore, if a straight line, 6cc. QED PROP. XIX. THEOR. IF a straight line touches a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. if possible,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...that is FC is perpendicular to DE. Therefore, if a straight line, &c. QED C GE a 18. 3. ,' PROP. XIX. THEOR. IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching lirie, the centre of the circle shall be in that line. Let the straight...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...shall be perpendicular to the line touching the circle. Prop. XIX. Theor. If a straight line touches a circle, and from the point of contact a straight line be drawn at right angles to the. touching line, the centro of the circle shall be in that line. Prop. XX. Theor....

Easy Introduction to Mathematics, Τόμος 2

Charles Butler - 1814
...demonstration, that these three perpendiculars BE, GF, and CD intersect each other in the same point AQED 249. 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...

A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Τόμος 1

Peter Fleming (Civil engineer) - 1815 - 164 σελίδες
...îbid. 95 26 ibid, 27 28 29 - 30 ibid. 31 ibid. 33 ibid. Page Theorem 13. If a straight line touches a circle, and from the point of contact, a straight line be drawn, cutting the circle, the angle made by this line with the first line, shall be equal to the angle in the alternate segment of...




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