Books Books 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. Mathematics, mechanics, heat - Page 70
by American School (Chicago, Ill.) - 1903 ## Elements of Geometry and Conic Sections

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... ## A Practical Workshop Companion for Tin, Sheet Iron, and Copper Plate Workers...

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,... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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... ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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... ## The Elements of Plane and Solid Geometry

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... ## Elements of Geometry, Conic Sections, and Plane Trigonometry

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... ## An Elementary Geometry and Trigonometry

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... ## An Elementary Geometry

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... 