| Adrien Marie Legendre - Geometry - 1874 - 512 pages
...angle GAD. The tanand the line AC bisects the PROBLEM XV. To inscribe a circle in a given triangle. B **Let ABC be the given triangle. Bisect the angles A...B, by the lines AO and BO, meeting in the point O** (Prob. V.) ; from the point 0 D, A F let fall the perpendiculars 0Z', OE, OF, on the sides of the triangle... | |
| L J V. Gerard - 1874 - 424 pages
...will be on the circumference. PRORLEM 12. To inscribe a given regtdar polygon in a circle. PRORLEM 13. **To inscribe a circle in a given triangle. Let ABC be the given triangle.** n Draw the bisectrices AD and BE of the angles A and B [II. Prob. 5] ; from the intersection 0, draw... | |
| Euclides - 1874 - 234 pages
...therefore the angle T is cqu.il to the an^le A. (I. 23, eor.6.) QEF . PROP. IV.— PROBLEM. (Euc. IV. 4.) **To Inscribe a circle in a given triangle. Let ABC be the given triangle;** it is required to inscribe a circle in it. Bisect the angles B and C by the straight lines BO and CO... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 378 pages
...MLN= L EDF. Thus a A , equiangular to A DEF, is described about the © . QEF PROPOSITION IV. PROBLEM. **To inscribe a circle in a given triangle. Let ABC be the given** A . It is required to inscribe a © in the A ABC. Bisect L a ABC, ACB by the st. lines BO, CO, meeting... | |
| Elias Loomis - Geometry - 1877 - 458 pages
...for the circumference, whose centre is D, intersects the given circumference in two points. PROBI.EM **xv. To inscribe a circle in a given triangle. Let ABC be the given triangle** ; it is required to inscribe a circle in it. Bisect any two angles B and C by the lines BD, CD, meeting... | |
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...circumference. Problem, To circumscribe a circle about a given triangle. C BOOK H.] THE CIRCLE. XXXIII. Problem. **To inscribe a circle in a given triangle. Let ABC be the given triangle.** SOLUTION. Bisect any two angles, A and B, by lines meeting in D. From D draw DE, DF, and DG per- c... | |
| John Henry Robson - 1880 - 114 pages
...divided into 2*, 2 J , a 4 , or generally 2" equal parts, it may be done by successive bisection. 10. **To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect the angles** at B and C. Let these bisectors intersect in O. Draw OD perpendicular to BC. With center O and radius... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...equiangular to the triangle DEF, and it is described about the circle ABC. QEF PROPOSITION 4. PROBLEM. **To inscribe a circle in a given triangle. Let ABC be the given triangle** : it is required to inscribe a circle in the triangle ABC. Bisect the angles ABC, ACB, by the straight... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...proposition in this way will form a nseful exercise to the student. PROP. IV. PROBLEM. To intcribe **a circle in a given triangle, Let ABC be the given triangle.** It is required to inscribe a circle in it Bisect the angles ABC and BCA by the straight lines BD and... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...any point without a given circle, two equal tangents to the circle can be drawn. PROBLEM XVII. 235. **To inscribe a circle in a given triangle. Let ABC be the given** A. Bisect the Z.» ABC and CAB. The bisectors meet in some point, as 0. From 0 draw OF, OD, and OE,... | |
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