The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 sider |
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Side 4
... constructed on surfaces . Plane Geometry treats of plane figures . Solid Geometry , called also Geometry of Space and Geom- etry of Three Dimensions , treats of solids , of curved sur- faces , and of the figures described on curved ...
... constructed on surfaces . Plane Geometry treats of plane figures . Solid Geometry , called also Geometry of Space and Geom- etry of Three Dimensions , treats of solids , of curved sur- faces , and of the figures described on curved ...
Side 10
... constructed . 32. An axiom is a self - evident truth , which is admitted without proof . 33. A postulate assumes the possibility of solving a cer- tain problem . * Euclid makes frequent use of this principle , without explicitly stating ...
... constructed . 32. An axiom is a self - evident truth , which is admitted without proof . 33. A postulate assumes the possibility of solving a cer- tain problem . * Euclid makes frequent use of this principle , without explicitly stating ...
Side 67
... construct a diagram , and state the hypothesis , including in the statement not only what the theorem says , but what it implies . He should also examine the conclu- sion , and see what it says and what it implies , and discover the ...
... construct a diagram , and state the hypothesis , including in the statement not only what the theorem says , but what it implies . He should also examine the conclu- sion , and see what it says and what it implies , and discover the ...
Side 104
... constructed under these conditions , although no methods of constructing them have been given . Indeed , the precise construction of the figures was not necessary , as they were required only as aids in following the demonstration of ...
... constructed under these conditions , although no methods of constructing them have been given . Indeed , the precise construction of the figures was not necessary , as they were required only as aids in following the demonstration of ...
Side 105
... constructing a given figure with given instruments is called a problem ; and the solution of a problem requires us to show how the construc- tion can be affected by the use of the given instruments , and to prove that the construction ...
... constructing a given figure with given instruments is called a problem ; and the solution of a problem requires us to show how the construc- tion can be affected by the use of the given instruments , and to prove that the construction ...
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The Elements of Plane and Solid Geometry: With Numerous Exercises Edward Albert Bowser Uten tilgangsbegrensning - 1891 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector called centre chord circumference circumscribed coincide common cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Populære avsnitt
Side 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.
Side 188 - 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.
Side 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'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 12 - AXIOMS. 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.
Side 206 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Side 97 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Side 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 253 - 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.