Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 36
... measuring unit is contained B 15 times in A and 24 times in B , then the ratio of A to B is that of 15 to 24. And although it may be difficult to find this measuring unit , we may still conceive it to exist ; or , if there is no unit ...
... measuring unit is contained B 15 times in A and 24 times in B , then the ratio of A to B is that of 15 to 24. And although it may be difficult to find this measuring unit , we may still conceive it to exist ; or , if there is no unit ...
Σελίδα 55
... measured by the arc BE ; hence the angle BAE is measured by the half of BE . For the same reason , the angle DAE is measured by half the arc DE . Therefore , the whole angle BAD is meas- ured by half the arc BD . Second . Let C , the ...
... measured by the arc BE ; hence the angle BAE is measured by the half of BE . For the same reason , the angle DAE is measured by half the arc DE . Therefore , the whole angle BAD is meas- ured by half the arc BD . Second . Let C , the ...
Σελίδα 56
... measured by half an arc less than a semicircumference . Every angle inscribed in a segment less than a semicircle is an obtuse an- gle , for it is measured by half an arc greater than a semicircumference . B A E D C Cor . 4. The ...
... measured by half an arc less than a semicircumference . Every angle inscribed in a segment less than a semicircle is an obtuse an- gle , for it is measured by half an arc greater than a semicircumference . B A E D C Cor . 4. The ...
Σελίδα 61
... measured by the product of AB by AF . For , upon the base AB , construct a 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 ...
... measured by the product of AB by AF . For , upon the base AB , construct a 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 ...
Σελίδα 62
... measured by half the product of DE , by the sum of its sides AB , CD . Bisect BC in F , and through F draw GH parallel to AD , and produce DC to A H. In the two triangles BFG , CFH , the side BF is equal to CF by construction , the ...
... measured by half the product of DE , by the sum of its sides AB , CD . Bisect BC in F , and through F draw GH parallel to AD , and produce DC to A H. In the two triangles BFG , CFH , the side BF is equal to CF by construction , the ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 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...
Σελίδα 11 - A rhombus, is that which has all its sides equal, but its angles are not 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 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.
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.
Σελίδα 148 - I.), that every section of a sphere made by a plane is a circle.