Syllabus of GeometryGinn, 1896 - 50 sider |
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Side 17
... perimeters of two similar polygons have the same ratio as any two homologous sides . 334. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The perpendicular is a mean proportional ...
... perimeters of two similar polygons have the same ratio as any two homologous sides . 334. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. The perpendicular is a mean proportional ...
Side 24
... perimeters of two regular polygons of the same number of sides are to each other as the radii of their circumscribed ... perimeter . 423. The area of a circle is equal to one - half the product of its radius by its circumference . 424 ...
... perimeters of two regular polygons of the same number of sides are to each other as the radii of their circumscribed ... perimeter . 423. The area of a circle is equal to one - half the product of its radius by its circumference . 424 ...
Side 26
... perimeters , the isosceles triangle is the maximum . 447. Of all polygons with sides all given but one , the maximum can be inscribed in a semicircle which has the undetermined side for its diameter . 448. Of all polygons with given ...
... perimeters , the isosceles triangle is the maximum . 447. Of all polygons with sides all given but one , the maximum can be inscribed in a semicircle which has the undetermined side for its diameter . 448. Of all polygons with given ...
Side 27
... perimeter . 453. Of regular polygons having a given area , that which has the greatest number of sides has the least perimeter . 454. Cor . The circumference of a circle is less than the perimeter of any polygon of equal area . BOOK VI ...
... perimeter . 453. Of regular polygons having a given area , that which has the greatest number of sides has the least perimeter . 454. Cor . The circumference of a circle is less than the perimeter of any polygon of equal area . BOOK VI ...
Side 32
... perimeter of the right section . 562. Cor . The lateral area of a right prism is equal to the altitude multiplied by the perimeter of the base . 563. Two prisms are equal if three faces including a trihedral angle of the one are ...
... perimeter of the right section . 562. Cor . The lateral area of a right prism is equal to the altitude multiplied by the perimeter of the base . 563. Two prisms are equal if three faces including a trihedral angle of the one are ...
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Syllabus of Geometry (Classic Reprint) George Albert Wentworth Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
acute angle adjacent angles angles are equal base and altitude bases and equal bisecting the angle bisector Calculus centre chord circumference circumscribed decagon Descriptive Geometry diameter dihedral angles directrix ellipse equal altitudes equal angles equal bases equal circles equal respectively equal to one-half equiangular exterior point focal radii frustum Geometry given line given point given polygon given straight line homologous hyperbola hypotenuse included angle interior angles intersection lateral area latus rectum lines are cut lines are parallel Mailing price mean proportional middle points number of sides one-third the product ordinate parabola parallel lines parallelogram parallelopiped perimeter plane parallel plane perpendicular point of contact polygon similar Professor of Mathematics pyramid is equal radius ratio regular inscribed polygon regular polygon right triangle secant segment sides opposite slant height spherical triangle symmetrical with respect tangents drawn tetrahedron THEOREMS third side third straight line triangles are equal triangular prism vertex vertices volume
Populære avsnitt
Side 8 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Side 21 - The areas of two triangles which have 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 9 - 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 46 INTERCEPTS BY PARALLEL LINES.
Side 15 - If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Side 11 - The locus of the middle points of a system of parallel chords is the diameter perpendicular to them.
Side 24 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 8 - ... is greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second.
Side 15 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.
Side 29 - If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, the line drawn from its intersection with the line in the plane to any point of the perpendicular is perpendicular to the line of the plane. Let AB be a perpendicular to the plane MN, BE a perpendicular from B to any line CD in MN, and EA any line from E to AB.