| Elias Loomis - Conic sections - 1858 - 256 pages
...for the circumference whose center is D intersects the given circumference in two points. PROBLEM 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 the angles B and C by the lines BD, CD, meeting... | |
| Leroy J. Blinn - Sheet-metal work - 1866 - 216 pages
...distance or radii DC, describe the circle Cef, aa required. To form a Rectangle of greatest surface **in a given triangle. Let ABC be the given triangle ; bisect any** c two of its sides, as AB, BC, in e and d ; draw the line ed ; also at right angles with the line ed,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...possible. If one circle is wholly within the other, there is no solution. PROPOSITION XLI.— PROBLEM. 94. **To inscribe a circle in a given triangle. Let ABC...the given triangle. Bisect any two of its angles,** aa B and C, by straight lines meeting in O. From the point O let fall perpendiculars OD, OE, OF, upon... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...through this point and at the point to draw a straight line perpendicular to this diameter. PROBLEM **13. To inscribe a circle in a given triangle. Let ABC be the given triangle.** It is required to inscribe a circle in ABC. If possible, let there be a circle touching the sides of... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...for the circumference whose center is D intersects the given circumference in two points. PROBLEM xv. **To inscribe a circle in a given triangle. Let ABC be the given triangle** ; it is equired to inscribe a circle in it. Bisect the angles B and C by the ines BD, CD, meeting each... | |
| William Frothingham Bradbury - Geometry - 1872 - 268 pages
...through any three given points ; or a circle circumscribed about a given triangle. PROBLEM XIII. 16. **To inscrIbe a circle in a given triangle. Let ABC...of the sides, describe a circle, and it will be the** circle required. Draw the perpendicular DE, DF, DG. The angles at A are equal by construction, and... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...through any three given points ; or a circle circumscribed about a given triangle. PROBLEM XIII. 16. **To inscribe a circle in a given triangle. Let ABC...of the sides, describe a circle, and it will be the** circle required. Draw the perpendicular DE, DF, DG. The angles at A are equal by construction, and... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...possible. If one circle is wholly within the other, there is no solution. PROPOSITION XLL—PROBLEM. 94. **To inscribe a circle in a given triangle. Let ABC...the given triangle. Bisect any two of its angles,** as B and C, by straight lines meeting in 0. From the point 0 let fall perpendiculars OD, OE, OF, upon... | |
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