 | Robert Potts - 1868 - 434 Seiten
...manner it may be shewn, that no other line is perpendicular to DE besides FC, 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... | |
 | Edinburgh univ - 1868 - 336 Seiten
...square of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. 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... | |
 | Cambridge univ, exam. papers - 1870 - 272 Seiten
...the whole line thus produced, and the given line, may be equal to the square on the part produced. 3. 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... | |
 | Edinburgh univ - 1871 - 392 Seiten
...which you appeal. tained by the whole and that part together with the square of the other part. 4. 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, are equal... | |
 | Henry William Watson - 1871 - 320 Seiten
...triangles are equal in all respects, therefore DE is equal to DF, and ADE is equal to ADF. PROPOSITION 2I. If a straight line touch a circle and from the point of contact another straight line be drawn cutting the circle, the angles which the cutting line makes with the... | |
 | Euclides, James Hamblin Smith - 1872 - 376 Seiten
...points of intersection in each circle with its centre, will all be parallel. PROPOSITION 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 urith the line touching the circle must be equal to... | |
 | Euclides - 1872 - 102 Seiten
...circles touched by both lines lie in two lines at right angles to each other. PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draicn at right angles to the touching line, the centre of the circle must be in that line. Let the... | |
 | Henry Major - 1873 - 588 Seiten
...is equal to the same two ; and when the adjacent angles are equal, they are right angles. XXXII. — If a straight line touch a circle, and from the point of contact a straight line lie drawn meeting the circle, the angles which this line makes with the line touching the circle shall... | |
 | Euclides - 1874 - 342 Seiten
...is, 5. FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION 19.— 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 the straight... | |
 | Braithwaite Arnett - 1874 - 130 Seiten
...double of the square on half the line, and of the square on the line between the points of section. 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. Describe a circle... | |
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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... 
