 | John Playfair - 1833 - 346 σελίδες
...they are right angles. PROP. XXXII. THEOR. .» If a straight line touch a.circle, and from thepoint of contact a straight line be drawn cutting the circle,...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... | |
 | Euclides - 1834 - 518 σελίδες
...and when f S2. 1. the adjacent angles are equal, they are t right angles. f 10 Def. 1• PROPOSITION XXXII. ¥ THEOR. — If a straight line touch a circle,...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... | |
 | John Playfair - 1835 - 336 σελίδες
...is equal to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXX. THEOR. If a straight line touch a circle, and from the point of contact a straight line be draion cutting the circle, the angles made by this line with the line which touches the circle, shall... | |
 | 1835 - 684 σελίδες
...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches 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. Cor. 3. Tangents... | |
 | 1836 - 488 σελίδες
...it is equal to the same two ; and when the adjacent angles are equal, they are right angles. XXXI. If a straight line touch a circle, and from the point...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... | |
 | John Playfair - 1836 - 488 σελίδες
...angle, because the angle adjacent to it is equal to the same two ; and when the adjacent angles art- equal, they are right angles. PROP. XXXII. THEOR....this line with the line which touches the circle, are equal to the angles in the alternate segments of the circle. Let the straight line EF touch the... | |
 | John Playfair - 1836 - 148 σελίδες
...besides FC, that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED CGE PROP.. XI. 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 the straight... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...segment greater than a semicircle is acute, and an angle in a segment less than a semicircle is obtuse. PROP. XXXII. THEOR. IF a straight line touch a circle,...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 - 1837 - 112 σελίδες
...drawn from F, is _L DE. PROPOSITION XIX. (Argument ad absurdum). Theorem. If a straight line touches 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. x> cv, Suppose... | |
 | Andrew Bell - 1837 - 290 σελίδες
...; that is, FC is perpendicular to DE. PROPOSITION XIX. THEOREM. If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. Let the straight line... | |
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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 made by this line with the line which touches the circle, shall be equal to the angles in the alternate segments of the circle. 
