Elements of Geometry and Conic SectionsHarper, 1858 - 234 σελίδες |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 11
... rectangle is that which has all its angles right angles , but all its sides are not necessarily equal . A rhombus is that which has all its sides equal , but its angles are not right angles . A parallelogram is that which has its op ...
... rectangle is that which has all its angles right angles , but all its sides are not necessarily equal . A rhombus is that which has all its sides equal , but its angles are not right angles . A parallelogram is that which has its op ...
Σελίδα 58
... rectangle which has the same base and the same altitude . PROPOSITION II . THEOREM . Every triangle is half of the parallelogram which has the same base and the same altitude . Let the parallelogram ABDE and the triangle ABC have the ...
... rectangle which has the same base and the same altitude . PROPOSITION II . THEOREM . Every triangle is half of the parallelogram which has the same base and the same altitude . Let the parallelogram ABDE and the triangle ABC have the ...
Σελίδα 59
... rectangle ABCD will contain seven partial rectangles , while AEFD will contain four ; therefore the rectangle ABCD is to the rectangle AEFD as 7 to 4 , or as AB to AE . The same rea- soning is applicable to any other ratio than that of ...
... rectangle ABCD will contain seven partial rectangles , while AEFD will contain four ; therefore the rectangle ABCD is to the rectangle AEFD as 7 to 4 , or as AB to AE . The same rea- soning is applicable to any other ratio than that of ...
Σελίδα 60
... rectangles , & c . PROPOSITION IV . THEOREM . Any two rectangles are to each other as the products of their bases by their altitudes . Let ABCD , AEGF be two rectangles ; the ratio of the rec- tangle ABCD to the rectangle AEGF , is the ...
... rectangles , & c . PROPOSITION IV . THEOREM . Any two rectangles are to each other as the products of their bases by their altitudes . Let ABCD , AEGF be two rectangles ; the ratio of the rec- tangle ABCD to the rectangle AEGF , is the ...
Σελίδα 61
... rectangle having the altitude AF ; the par- allelogram ABCD is equivalent to the rec- tangle ABEF ( Prop . I. , Cor . ) . But the rectangle ABEF is measured by AB XAF ( Prop . IV . , Schol . ) ; therefore the area of the parallelogram ...
... rectangle having the altitude AF ; the par- allelogram ABCD is equivalent to the rec- tangle ABEF ( Prop . I. , Cor . ) . But the rectangle ABEF is measured by AB XAF ( Prop . IV . , Schol . ) ; therefore the area of the parallelogram ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone convex surface curve described diagonals diameter draw ellipse equal angles equal to AC equally distant equiangular equilateral equivalent exterior angle foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC Loomis major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN prism Professor of Mathematics PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment side AC similar similar triangles slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 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, their third sides will be equal, and their other angles will be equal, each to each.
Σελίδα 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 32 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Σελίδα 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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.
Σελίδα 44 - 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.