Plane and solid geometry . town and 1 mile from the the town by a point and find by construction how many placesanswer the description. Ex. 376. Describe a circle through two given points which lie out-side a given line, the center of the circle to be in that line. Show whenno solution is possible. Ex. 377. Construct a right triangle, given the hypotenuse and thedifference of the other two sides. Ex. 378. If two sides of a triangle are unequal, the median throughtheir intersection makes the greater angle with the lesser side. Ex. 379. Two trapezoids are equal if their sides t
Plane and solid geometry . town and 1 mile from the the town by a point and find by construction how many placesanswer the description. Ex. 376. Describe a circle through two given points which lie out-side a given line, the center of the circle to be in that line. Show whenno solution is possible. Ex. 377. Construct a right triangle, given the hypotenuse and thedifference of the other two sides. Ex. 378. If two sides of a triangle are unequal, the median throughtheir intersection makes the greater angle with the lesser side. Ex. 379. Two trapezoids are equal if their sides taken in order areequal, each to each. Ex. 380. Construct a right triangle, having given its perimeter andan acute angle. Ex. 381. Draw a line such that its segment intercepted betweentwo given indefinite lines shall be equal and parallel to a given finite line. Ex. 382. One angle of a parallelogram is given in position and thepoint of intersection of the diagonals is given ; construct the parallelo-gram. 112 PLANE GEOMETRY. Ex. 383. Construct a triangle, given two sides and the median to thethird side. Ex. 384. If from any point within a triangle lines are drawn to thethree vertices of the triangle, the sum of these lines is less than the sum ofthe sides of the triangle, and greater than half their sum. Ex. 385. Repeat the proofof Prop. XIX for two cases atonce, using Pigs. 1 and 2. Ex. 386. If the angle at thevertex of an isosceles triangleis four times each base angle,the perpendicular to the baseat one end of the base forms Fig. 1. Fig. 2. with one side of the triangle, and the prolongation of the other sidethrough the vertex, an equilateral triangle. Ex. 387. The bisector of the angle (7 of a triangle ABC meets ABin Z>, and DE is drawn parallel to AC meeting BC in E and the bisectorof the exterior angle at C in F. Prove DE = EF. Ex. 388. Define a locus. Find the locus of the mid-points of allthe lines drawn from a given point to a given line not passing throughthe point.
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
