Plane and Solid Geometry: Inductive Method

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Press of Hudson-Kimberly Publishing Company, 1898 - Geometry - 406 pages
 

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Page 231 - 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 388 - 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 391 - 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 126 - 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 233 - Prove that the area of a triangle is equal to half the product of its perimeter by the radius of the inscribed circle.
Page 390 - Weight is used in weighing gold, silver, jewels, liquors, &c., and is generally adopted in philosophical experiments. 24 grains (gr.) make 1 pennyweight, marked pwt. 20 pennyweights " 1 ounce " oz. 12 ounces " 1 pound,
Page 234 - When will they be equal, and when supplementary ? 2. An angle formed by two chords intersecting within the circumference of a circle is measured by one-half the sum of the intercepted arcs.
Page 33 - 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 20 - 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 391 - 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...

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