Plane and Solid Geometry: Inductive MethodPress of Hudson-Kimberly Publishing Company, 1898 - 406 σελίδες |
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Σελίδα 13
... drawn with any point as a center and with any finite straight line as a radius ? Can a figure be moved unaltered to a new position ? Is it possible to think of two equal geometric cubes being so placed that they will coincide ? Can you ...
... drawn with any point as a center and with any finite straight line as a radius ? Can a figure be moved unaltered to a new position ? Is it possible to think of two equal geometric cubes being so placed that they will coincide ? Can you ...
Σελίδα 14
... Draw conclusion and state axiom . 14. If , when a sheet of paper is placed on another , their edges exactly coincide ... drawn between the same two points ? 20. In how many points can two straight lines intersect ? Why ? Can you give an ...
... Draw conclusion and state axiom . 14. If , when a sheet of paper is placed on another , their edges exactly coincide ... drawn between the same two points ? 20. In how many points can two straight lines intersect ? Why ? Can you give an ...
Σελίδα 17
... drawn from B , as in the figure , two angles are formed , each less than four right angles . Of these angles the smaller is always un- derstood if " the angle at B " is mentioned , unless it is other- wise stated . The two angles at B ...
... drawn from B , as in the figure , two angles are formed , each less than four right angles . Of these angles the smaller is always un- derstood if " the angle at B " is mentioned , unless it is other- wise stated . The two angles at B ...
Σελίδα 18
... Draw two right angles which are adjacent . What is their sum ? ( c ) Draw two right angles which have the same vertex , but are not adjacent . ( d ) Draw an obtuse angle and a right angle which are adjacent ; compare their sum with a ...
... Draw two right angles which are adjacent . What is their sum ? ( c ) Draw two right angles which have the same vertex , but are not adjacent . ( d ) Draw an obtuse angle and a right angle which are adjacent ; compare their sum with a ...
Σελίδα 19
... Draw two supplementary angles which are not adja cent , but yet have the same vertex . ( c ) Can you draw two supplementary angles , ( 1 ) when both are acute ? ( 2 ) when both are obtuse ? ( 3 ) when one is a right angle and the other ...
... Draw two supplementary angles which are not adja cent , but yet have the same vertex . ( c ) Can you draw two supplementary angles , ( 1 ) when both are acute ? ( 2 ) when both are obtuse ? ( 3 ) when one is a right angle and the other ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D adjacent angles altitude axiom base bisect bisector call it Prop chord circle circular sector circumference circumscribed coincide Compare cone Construct convex cube cylinder deduction diagonals diameter diedral angles distance divided drawn equilateral equivalent EXERCISES exterior angle face angles feet figure formed frustum Geometry given line given point hint homologous hypotenuse inches inscribed inscribed angle intersection isosceles Join locus measure middle points number of sides parallel parallelogram parallelopiped Pass a plane pentagon perimeter perpendicular polyedron prism produced proof proportion PROPOSITION prove Prop pupil pyramid quadrilateral radii radius ratio rectangle regular polygon rhombus right angles segments solid sphere spherical polygon spherical triangle square straight angle straight line supplementary angles Suppose surface tangent tetraedron theorem trapezoid triangular prism triedral truth unequal vertex vertices volume Write Prop
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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. mi.) Cubic Measure 1728 cubic inches (cu.
Σελίδα 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.
Σελίδα 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.
Σελίδα 233 - Prove that the area of a triangle is equal to half the product of its perimeter by the radius of the inscribed circle.
Σελίδα 390 - Length 12 inches (in.) = 1 foot (ft.) 3 feet = 1 yard (yd.) 5| yards, or 16| feet = 1 rod (rd.) 320 rods, or 5280 feet = 1 mile (mi.) Square Measure 144 square inches (sq.
Σελίδα 308 - If a pyramid is cut by a plane parallel to its base, the...
Σελίδα 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...