 | Robert Simson - 1806 - 546 sider
...triangles, &c. QED PROP. XXXIII. THEOR. IN equal circles, angles, whether at the centres or See $•. circumferences, have the same ratio which the circumferences on which they stand have to one another : so also have the sectors. Let ABC, DEF be equal circles; and at their centres the angles BGC, EHF,... | |
 | John Mason Good - 1813 - 714 sider
...shall be in a straight line. Prop. XXXIII. Theor. In equal circles, angles, whe'.her at the centres or circumferences, have the same ratio which the circumferences on which they stand have to one another : so also have the sectors. Prop. B. Theor. If an angle of a triangle be bisected by a straight line,... | |
 | Euclides - 1816 - 588 sider
...Sec. QED t . . .' PROP. XXXIII. THEOB. x IN equal cifcles, angles, whether at the centres or s«e N. circumferences, have the same ratio which the circumferences on which they stand have to" one another ; So also have the sectors. 11 • Let ABC, DEF be equal circles; and at their centres the angles BGC,... | |
 | John Martin Frederick Wright - 1825 - 798 sider
...equiangular dodecagon inscribed in a circle. 7. In equal circles, angles, whether at the centres or circumferences, have the same ratio which the circumferences on which they stand have to one another. 8. Prove that the area of any trapezium, whose opposite sides are parallel, is found by multiplying... | |
 | Robert Simson - 1827 - 546 sider
...triangles, &c. tSt. ED PROP. XXXIII. THEOR. See N. In equal circles, angles, whether at the centres or circumferences, have the same ratio which the circumferences on which they stand have to one another : so also have the sectors. Let ABC, DEF be equal circles; and at their centres the angles BGC, EHF,... | |
 | Euclid - 1835 - 540 sider
...triangles," &c. QED PROP. XXXIII. THEOH. In equal circles, angles, whether at the centres or See N. circumferences, have the same ratio which the circumferences on which they stand have to one another : So also have the sectors. Let ABC, DEF be equal circles ; and at their centres the angles BGC, EHF,... | |
 | 1836 - 366 sider
...diameters be drawn, the parallelogram will be divided into four equal parts. 31. In equal circles sectors have the same ratio which the circumferences on which they stand have to one another. 32. If a solid angle be contained by three plane angles, any two of them are greater than the third.... | |
 | University of Cambridge - 1841 - 546 sider
...into account. FRIDAY, January 8, 1840 9 to llj. 1. IN equal circles angles whether at the centres or circumferences have the same ratio which the circumferences on which they stand have to one another. 2. Draw a straight line perpendicular to a plane from a given point above it. 3. Find the present value... | |
 | Euclides - 1841 - 378 sider
...if two triangles, &c. QED PROP. XXXIII. THEOR. In equal circles, angles, whether at the centres or circumferences, have the same ratio which the circumferences on which they stand have to one another: . also have the sectors. Let ABC, DEF be equal circles; BGC, EHF angles at their centres, and BAC,... | |
 | Euclid - 1845 - 218 sider
...triangles, &c. QED PROPOSITION XXXIII. THEOB. — In equal circles, angles, whether at the centres or circumferences, have the same ratio which the circumferences on which they stand have to one another ; so also have the sectors. Let ABC, DEF be equal circles; and at their centres the angles BGC, EHF,... | |
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In equal circles, angles, whether at the centres or circumferences, have the same ratio which the circumferences on which they stand have to one another ; so also have the sectors. 
