Syllabus of GeometryGinn, 1896 - 50 sider |
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Resultat 1-5 av 9
Side 9
... bases and equal altitudes are equal . 187. If three or more parallels intercept equal parts on any transversal , they intercept equal parts on every trans- versal . 188. Cor . 1. The line parallel to the base of a triangle , and ...
... bases and equal altitudes are equal . 187. If three or more parallels intercept equal parts on any transversal , they intercept equal parts on every trans- versal . 188. Cor . 1. The line parallel to the base of a triangle , and ...
Side 16
... base as the other side is to the corresponding part . 311. Cor . 2. If two lines are cut by any number of parallels , the corresponding intercepts are proportional . 312. If a straight line divides two sides of a triangle proportionally ...
... base as the other side is to the corresponding part . 311. Cor . 2. If two lines are cut by any number of parallels , the corresponding intercepts are proportional . 312. If a straight line divides two sides of a triangle proportionally ...
Side 20
... bases ; any two paral- lelograms are to each other as the products of their bases by their altitudes . 368. The area of a triangle is equal to one - half the product of its base by its altitude . 369. Cor . 1. Triangles having equal bases ...
... bases ; any two paral- lelograms are to each other as the products of their bases by their altitudes . 368. The area of a triangle is equal to one - half the product of its base by its altitude . 369. Cor . 1. Triangles having equal bases ...
Side 22
... base and one - half the altitude of the triangle . 391. Cor . 2. A square may be constructed equivalent to a given ... base and altitude equal to a given line . 393. To construct a parallelogram equivalent to a given square , and having ...
... base and one - half the altitude of the triangle . 391. Cor . 2. A square may be constructed equivalent to a given ... base and altitude equal to a given line . 393. To construct a parallelogram equivalent to a given square , and having ...
Side 26
... base and equal 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 ...
... base and equal 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 ...
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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.