## Plane and Solid Geometry: Inductive Method |

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altitude angles answer base bisect bisector call it Prop called chord circle circumference circumscribed coincide common Compare conclusion cone Construct contains cube cylinder deduction definition diagonals diameter diedral discovered distance divided Draw drawn edges equal equation equivalent EXERCISES expression extremities faces feet figure fixed formed four Geometry give given line given point greater homologous Illustrate inches included inscribed intersection isosceles Join lateral length less limit locus mean measure meet opposite parallel parallelogram pass perimeter perpendicular plane polyedron polygon prism Problem produced projection proof Prop proportion PROPOSITION prove pupil pyramid quadrilateral radius ratio rectangle regular respectively right angles segments sides similar solid sphere spherical square statement straight line Suppose surface tangent triangle truth unit vertex vertices volume Write

### Popular passages

Page 229 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.

Page 384 - Measures of Length 10 millimeters (mm.) = 1 centimeter (cm.) 10 centimeters = 1 decimeter (dm.) 10 decimeters = 1 meter (m.) 10 meters = 1 dekameter (Dm.) 10 dekameters = 1 hektometer (Hm.) 10 hektometers = 1 kilometer (Km.) 10 kilometers = 1 myriameter (Mm.) Measures of Surface 100 sq.

Page 387 - CUBIC MEASURE 1728 cubic inches (cu. in.) = 1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...

Page 387 - Square Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30| square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.

Page 124 - Proposition 7. 289. ff four quantities are in proportion, they are in proportion by composition and division; that is, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.

Page 31 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center. The curve which bounds the circle is called the circumference Any portion of the circumference is called an arc.

Page 18 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.

Page 231 - Prove that the area of a triangle is equal to half the product of its perimeter by the radius of the inscribed circle.

Page 304 - If a pyramid is cut by a plane parallel to its base, the...

Page 374 - S7rR = 4WR1. (789) Therefore, the area of the surface of a sphere is equal to the area of four great circles. 791. COR. 2. TJie areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters.