| Robert Potts - 1868 - 410 Seiten
...when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOREM. **If a, straight line touch a circle, and from the point of contact a straight line be drawn** meeting the circle ; the angles which this line makes with the line touching the circle shall be equal... | |
| 1870
...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...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... | |
| EDWARD RAVENSCROFT - 1871
...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...straight line be drawn cutting the circle, the angles** made by this line with the line which touches the circle, are equal to the angles in the alternate... | |
| Henry William Watson - 1871 - 285 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 - 349 Seiten
...are normals to the circle at the points where they meet the circumference. 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 centre of the circle must be in that line. Let the st. line... | |
| Euclides - 1872
...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
...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... | |
| Francis Cuthbertson - 1874 - 349 Seiten
...(111.15) but L ABP is < a right / ; ANGLES IN CIRCLES. PROPOSITION XVII. 119 If a straight line touches **a circle, and from the point of contact a straight...the angles which this straight line makes with the** tangent shall be equal h the angles in the alternate segments of the circle. Let ST touch the 0 QDF'm... | |
| Braithwaite Arnett - 1874
...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... | |
| Edward Atkins - 1874
...perpendicular to DE, but FC; therefore FC is perpendicular to DE. PROPOSITIONS. 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... | |
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