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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. "
Queen's scholarship examination. Amner's eight years' scholarship questions ... - Page 64
by Joseph Wollman - 1879
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...from the" point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...drawn cutting the circle, the angles -made by this line with the line which touches the circle will be equal to the angles in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in B, and from the point B let the straight line BD...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...straight line be drawn cutting the circle, the angles made fry this line with the line which touches the circle, shall be equal to the angles in the alternate segments of the circle. .', Let the straight line EF touch the circle ABCD in B, and from the point B let the straight line...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...from the point of contact, a straight line be drawn cutting the circle, the angles made by this line with the line touching the circleĞ shall be equal to the angles which are in the alternate segments of the circle. Let the straight line EF touch die circle ABCD in...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...straight line BD be drawn eutting the eirele: The angles whieh BJ) makes with the touehing line EF, shall be equal to the angles in the alternate segments of the eirele: that is, the angle FBD is equal to the angle whieh is in the segment DAB, and the angle DEE...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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. Let the straight line EF touch the circle ABCD in...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...contact, a straight line be drawn cutting the circle, shew that the angles made by those lines will be equal to the angles in the alternate segments of the circle. 9. Demonstrate the proposition usually cited Ex cequo. \.Euclid, Book 5, Prop. 22.] 10. Shew that the...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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. XXXIV. If two straight lines within a circle cut one another, the rectangle contained by the segments...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in...
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