 | Great Britain. Admiralty - Geometry - 1846 - 128 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
 | Euclides - 1846 - 292 pages
...that is, FC is perpendicular to DE. Wherefore, If a straight line %c. < i . E. i > . 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 line, the centre of the circle shall be in that line. Let... | |
 | Euclides - 1848 - 52 pages
...angle ; and 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... | |
 | Euclides - 1853 - 146 pages
...besides FC; that is 5. 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. Let... | |
 | Euclides - Geometry - 1853 - 334 pages
...the first part of the prop" that BAC is a right angle. Which was to be proved. PEOP. XXXII. THEOE. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle : then the angles which this line makes with the touching line shall be... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, etc. QED PROPOSITION 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 line, the centre of the circle shall be in that line. Let... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...retained here only to avoid interruption in the numbering of the propositions. PROPOSITION XIX.— THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draw» at right angles to the touching line, the centre of the circle shall be in that. lim. PROPOSITION... | |
 | Euclides - 1855 - 270 pages
...the diameter which passes through the point of contact is perpendicular to the tangent. 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 tangent, the centre of the circle shall be in that straight line.... | |
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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. 
