 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 Elements of Geometry, Symbolically Arranged - Page 79by Great Britain. Admiralty - 1846Full view - About this book
 | War office - 1861 - 714 pages
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch 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. Voluntary Portion.... | |
 | Euclides - 1862 - 172 pages
...; that Is, FC Is perpendicular to DE. Therefore, if a straight line, &c. QED PROP. XIX.— THEOREM. If a straight line touch 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. (References —... | |
 | Euclides - 1864 - 262 pages
...straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle j the angles which this line makes with the line touching...which are 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... | |
 | Euclides - 1864 - 448 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touch ing line, the center of the circle shall be in that line. Let the straight... | |
 | Architecture - 1865 - 276 pages
...or in the circumference, which shall touch a given circle. 32. Theorem. If & straight line touches a circle, and from the point of contact a straight...which are in the alternate segments of the circle. Shew from this how to describe the segment of a circle which shall contain an angle equal to a given... | |
 | Robert Potts - 1865 - 528 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the center of the circle shall be in that line. Let the straight... | |
 | Euclides - 1865 - 402 pages
...FC; that is, FC is perpendicular to DE. Therefore, if a straight line, &e. QED PROP. XIX.— THEOREM. If a straight line touch 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. (References —... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...Proposition in Euclid, Book II., which gives the relation between the sides of an obtuse angled triangle. 8. If a straight line touch a circle, and from the point...line touching the circle shall be equal to the angles in the alternate segments of the circle. If two circles touch each other, and parallel diameters be... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...radius a, about its diameter. i • • J; >. , г.- •• . . - • I. GEOMETRY. > » •' *•"' 1. ' If a straight line touch a circle, and from the point...cutting the circle, the angles which this line makes, && . 2. The sides about the equal angles of equiangular triangles are proportionals; and those which... | |
 | John Playfair - Geometry - 1855 - 350 pages
...other line but FC can be perpendicular to DE ; FC is therefore perpendicular to DE. B PROP. XIX. THEOR. If a straight line touch a circle, and from the point of contact a stimght Imt be drawn at right angles to the touching line, the centre of the circle is in that line.... | |
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