| E. J. Brooksmith - 1889 - 356 sider
...from the centre to the point of contact shall be perpendicular to the line touching the circle. 8. The angles in the same segment of a circle are equal to one another. If PQ, KS, two chords of a circle, intersect within the circle, shew that their inclination to one... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...figure contained by a straight line and the circumference it cuts off. PROPOSITION 21. THEOREM. The angles in the same segment of a circle are equal to one another. Let ABCD be a 0, and BAD, BED LS in the same segment BAED ; then ^ BAD= L BED. Take F the centre of the 0. E (1)... | |
| Harrow School - 1890 - 172 sider
...equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. The angles in the same segment of a circle are equal to one another. 6. Let AB be a given finite straight line. Bisect AB in C, and through С draw CD at right angles to... | |
| John Fry Heather - 1890 - 252 sider
...joins their centres passes through the point of contact. (Eu. in., 11 and 12.) 136. THEOH. 22. — Angles in the same segment of a circle are equal to one another. (Eu. III., 21.) 137. THEOR. 23. — If a straight line touch a circle, and from the point of contact... | |
| Royal Military College, Sandhurst - 1890 - 144 sider
...convex to the aforesaid point. Show that the perimeter of the triangle thus formed is invariable. 3. The angles in the same segment of a circle are equal to one another. 4. On a given base describe a triangle having a given vertical angle and one of its sides double of... | |
| 1891 - 718 sider
...circumference of a circle, the straight line, which joins them, must fall within the circle. 2. The angles in the same segment of a circle are equal to one another. 3. Prove that it' one side of a quadrilateral figure inscribed in a circle be produced, the exterior... | |
| 1891 - 592 sider
...especially suitable for this kind of work, the principles being those of Euclid III, 21, viz.: The angles in the same segment of a circle are equal to one another, and Euclid III, 32, If a straight line CE, Fig. 5, touch a circle, and from the point of contact A... | |
| Canada. Department of the Interior - 1893 - 1280 sider
...the line between the points of section, is equal to the square on half the line. 久 乱 生 6 The angles in the same segment of a circle are equal to one another. De8t 竹 b0 其 olrc № 攻 tH @ uⅠ 卑 glv0n ア Ogu 肚 rp0Ⅱt も g0 几 The , H :... | |
| 1893 - 1092 sider
...the square on the line between the points of section, is equal to the square on half the line. 2. The angles in the same segment of a circle are equal to one another. 3. Describe a circle about a given regular pentagon. 4. The right lines joining the middle points of... | |
| Frederick Coate Wade - 1895 - 168 sider
...Through one of the points of intersection of two equal circles draw the longest double chord. 7. The angles in the same segment of a circle are equal to one another. About the triangle ABC describe a circle, from the points 15 and C let fall perpendiculars on the opposite... | |
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