## The Elements of Plane and Solid Geometry: With Numerous Exercises |

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### Common terms and phrases

ABCD altitude base bisect called centre chord circle circumference circumscribed coincide common cone Cons construct contain describe diagonals diameter diedral angle difference distance divided draw drawn edges equal equilateral equivalent EXERCISES faces feet figure Find formed four frustum given given line given point given straight line greater height homologous inches included inscribed intersection isosceles Join length less limit mean measured meet number of sides opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane polygon prism Problem produced Proof proportional Proposition prove prove Proof pyramid quantities radii radius ratio rectangle regular regular polygon respectively right angles segment sides similar sphere spherical triangle square straight line surface tangent Theorem third triangle triedral unit vertex vertices volume

### Popular passages

Page 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.

Page 186 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.

Page 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.

Page 12 - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal.

Page 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

Page 393 - Park, 111. 70 colored cards, 4x5 inches, printed on both sides, arranged in 9 sets, 6 to 10 cards in each set, with card of directions. Retail price, 65 cents. [Mathematical Teaching and its {Modern {Methods. By TRUMAN HENRY SAFFORD, Ph.

Page 330 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 249 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.

Page 374 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.