 | Euclides - 1845 - 546 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... | |
 | 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 be equal... | |
 | 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 be equal... | |
 | 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 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... | |
 | Euclides - 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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...the adjacent angles are equal, they are right angles. PROP. XXXH. 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... | |
 | 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...contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight line DE touch the... | |
 | Euclides - 1853 - 146 pages
...and when the adjacent angles are equal, they are (I. Def. 10.) right angles. 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 to... | |
 | Euclides - Geometry - 1853 - 176 pages
...angles are equal they are right angles. 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 moule bу this Une 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... 
