Elements of Geometry and Conic SectionsHarper & brothers, 1860 - 234 sider |
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Resultat 1-5 av 48
Side 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 ...
Side 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 ...
Side 26
... third line , are par- arlel . 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 AB C D must meet on one side or the other of AB ...
... third line , are par- arlel . 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 AB C D must meet on one side or the other of AB ...
Side 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 ...
Side 32
... third angle of the one to the third angle of the other ( Prop . VII . ) , viz . the side AB to the side CD , and AC 32 GEOMETRY.
... third angle of the one to the third angle of the other ( Prop . VII . ) , viz . the side AB to the side CD , and AC 32 GEOMETRY.
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Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone contained 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 given straight line greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium segment side AC similar solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Side 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Side 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.
Side 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.
Side 20 - therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides, DB, BC are equal to the two AC, CB, each to each ; and the angle DBC is equal to...
Side 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.
Side 148 - It will be shown (p. 7,) that every section of a sphere, made by a plane, is a circle...
Side 14 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 152 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.