Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 17
... third sides will be equal , and their other angles will be equal , each to each . Let ABC , DEF be two triangles , having the side AB equal to DE , and AC to DF , and also the angle A equal to the angle D ; then will the triangle ABC be ...
... third sides will be equal , and their other angles will be equal , each to each . Let ABC , DEF be two triangles , having the side AB equal to DE , and AC to DF , and also the angle A equal to the angle D ; then will the triangle ABC be ...
Página 18
... third angle of the one to the third angle of the other . Let ABC , DEF be two triangles having the angle B equal to E , the angle C equal to F , and the inclu- ded sides BC , EF equal to each other ; then will the B A triangle ABC be ...
... third angle of the one to the third angle of the other . Let ABC , DEF be two triangles having the angle B equal to E , the angle C equal to F , and the inclu- ded sides BC , EF equal to each other ; then will the B A triangle ABC be ...
Página 19
... third side ( Prop . VIII . ) , the two sides BA , AE of the tri- angle BAE are greater than BE . To each of these add EC ; then will the sum of BA , AC be greater than the sum of BE , EC . Again , because the two sides CE , ED of the ...
... third side ( Prop . VIII . ) , the two sides BA , AE of the tri- angle BAE are greater than BE . To each of these add EC ; then will the sum of BA , AC be greater than the sum of BE , EC . Again , because the two sides CE , ED of the ...
Página 26
... third line , are par- allel . Let the two straight lines AC , BD be both perpendicu- lar to AB ; then is AC par- allel to BD . For if these lines are not parallel , being produced , they C A B D must meet on one side or the other of AB ...
... third line , are par- allel . Let the two straight lines AC , BD be both perpendicu- lar to AB ; then is AC par- allel to BD . For if these lines are not parallel , being produced , they C A B D must meet on one side or the other of AB ...
Página 31
... third angles are equal , and the triangles are mutually equiangular . Cor . 3. A triangle can have but one right angle ; for if there were two , the third angle would be nothing . Still , less can a triangle have more than one obtuse ...
... third angles are equal , and the triangles are mutually equiangular . Cor . 3. A triangle can have but one right angle ; for if there were two , the third angle would be nothing . Still , less can a triangle have more than one obtuse ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Sin vista previa disponible - 2016 |
Términos y frases comunes
75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Pasajes populares
Página 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 27 - VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the...
Página 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Página 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Página 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Página 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Página 17 - 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 will be equal.
Página 148 - I.), that every section of a sphere made by a plane is a circle.