 | Euclides - 1842 - 320 pages
...therefore AB (16. 3.) touches the circle at the point B. PROP. XXXII. THEOK IF a straight line touches 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 touching the circle, shall be equal... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...be perpendicular to DE ; FC is therefore perpendicular to DE. PROP. XIX. THEOR. If a straight lino touch a circle, and from the point of contact a straight...angles to the touching line, the centre of the circle is in that line, Let the straight line DE touch the circle ABC, in C, and from C let CA be drawn at... | |
 | Education - 1844 - 688 pages
...opposite angles of any quadrilateral inscribed in a circle, are together equal to two right angles. 11. 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 touching line, shall be equal to the... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...semicircle is acute, and an angle ma segment less than a semicircle is obtuse. PROP. XXXII. THEOR. — If a straight line touch a circle, and from the point of contact a straight line be drawn dividing the circle into two segments ; the angles made by this line with the tangent are equal to... | |
 | Euclides - 1845 - 544 pages
...equal, they are right angles, (i. def. 10.) PROPOSITION XXXII. THEOREM. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting the circle; the angles which this line makes wiih the line touching the circle, shall be equal... | |
 | Euclides - 1846 - 292 pages
...same two ; and, when the adjacent angles are equal, each of them is a right angle. PROP. XXXII. THEOR. 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 touching the circle shall be equal to... | |
 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...a rt. Z, "> **<• .'. L BAC in the semi 0 = rt. Z. Wherefore the Z, &c. PROP. LX. THEOR. 32. 3Eu . 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...BAC, FAC, is a rt. .'. L BAC in the semi 0 = rt. L • Wherefore the L, &c. PROP. LX. THEOR. 32. 3 EU. 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... | |
 | Euclid - 1848 - 52 pages
...the angle in a segment less than a semicircle is greater than a right angle. PROP. 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 made by this line with the line touching the circle, shall be equal... | |
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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... 
