 | Edward Atkins - 1874 - 428 σελίδες
...angles. Therefore, the opposite angles, &c. QED Proposition 23. — Theorem. Upon the same straight line, and on the same side of it, there cannot be...two similar segments of circles not coinciding with one another. If possible, If it be possible, on the same straight line AB, and on the same side of... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...perpendicular to this diameter. 5. When are segments of circles similar ? Upon the same straight line and upon the same side of it there cannot be two similar segments of circles not coinciding. 6. If from a point without a circle there be drawn two straight lines, one of which cuts the circle... | |
 | Edward Atkins - 1876 - 130 σελίδες
...angles. Therefore, the opposite angles, &c. QED Proposition 23. — Theorem. Upon tJte same straight line, and on the same side of it, there cannot be...two similar segments of circles not coinciding with one another. If possible. If it be possible, on the same straight lino AB, and on the same side of... | |
 | Richard Wormell - 1876 - 268 σελίδες
...the tangent, the centre of the circle shall be in that line. .. .. .. .. .. .. 116 23. Upon the same line and on the same side of it, there cannot be two similar segments of circles not coinciding with one another. .. .. .. 106 24. Similar segments of circles upon equal straight lines are equal to one... | |
 | Education Department,London - 1876 - 1010 σελίδες
...that can be inscribed in a circle Î 3. Define similar segments of circles. On the same straight lino and on the same side of it there cannot be two similar segments of circles not coinciding with one another. Only one circle can be drawn touching a given straight line ЛБ in A and passing through... | |
 | Robert Potts - 1876 - 446 σελίδες
...Therefore, the opposite angles, &c. QED PROPOSITION XXIII. THEOREM. Upon the tame straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding tcith one another. If it be possible, upon the same straight line AB, and upon the same side of it,... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 σελίδες
...least distance from the circumference of a given circle is constant. (16.) 29. On the same straight line, and on the same side of it, there cannot be...segments of circles not coinciding with each other. 30. Let two equal parallelograms ABCD and AEFG, with their angles at A equal, be superposed so that... | |
 | University of Oxford - 1879 - 584 σελίδες
...them shall be equal to the rectangle contained by the segments of the other. 9. On the same straight line, and on the same side of it, there cannot be...two similar segments of circles, not coinciding with one another. 10. In a given circle, inscribe a triangle equiangular to a given triangle. 2. EXAMINATION... | |
 | Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...equal, or which contain equal angles. PROPOSITION XXIII. THEOREM. Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, nqf coinciding with each other. If it be possible, on the same base AB, and on the same side of it,... | |
 | Edward Harri Mathews - 1879 - 94 σελίδες
...CANDIDATES. EUCLID. \Capitalletters, and not numbers, must be used in Hie diagrams .\ 1. On the same straight line, and on the same side of it, there cannot be two triangles which have there sides terminated in one extremity of the base equal to one another, and... | |
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Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding with one another. 
