Elements of Geometry and Conic SectionsHarper & brothers, 1861 - 234 sider |
Inni boken
Resultat 1-5 av 100
Side 12
... . 9. The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. From one point to another only one straight line can be drawn . 12. Two straight lines , which intersect one another , 12 GEOMETRY .
... . 9. The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. From one point to another only one straight line can be drawn . 12. Two straight lines , which intersect one another , 12 GEOMETRY .
Side 13
... 2 ; √AXB denotes the square root of the product of A and B. N.B. - The first six books treat only of plane figures , or fig . ures drawn on a plane surface . PROPOSITION I. THEOREM . All right angles are equal to BOOK 1 . 13.
... 2 ; √AXB denotes the square root of the product of A and B. N.B. - The first six books treat only of plane figures , or fig . ures drawn on a plane surface . PROPOSITION I. THEOREM . All right angles are equal to BOOK 1 . 13.
Side 14
... drawn from one point to another , which is impossible ( Axiom 11 ) . More- over , since the line EG is equal to the line AC , the point G will fall on the point C ; and the line EG , coinciding with AC , the line GH will coincide with ...
... drawn from one point to another , which is impossible ( Axiom 11 ) . More- over , since the line EG is equal to the line AC , the point G will fall on the point C ; and the line EG , coinciding with AC , the line GH will coincide with ...
Side 15
Elias Loomis. E B D if not , suppose the line BE to be drawn from the point B , perpendicular to CD ; then will each of the angles CBE , DBE be a right angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . To each ...
Elias Loomis. E B D if not , suppose the line BE to be drawn from the point B , perpendicular to CD ; then will each of the angles CBE , DBE be a right angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . To each ...
Side 19
... drawn to the extremities of either side , their sum will be less han the sum of the other two sides of the triangle . Let the two straight lines BD , CD.be drawn from D , a point within the triangle ABC , to the extremities of the side ...
... drawn to the extremities of either side , their sum will be less han the sum of the other two sides of the triangle . Let the two straight lines BD , CD.be drawn from D , a point within the triangle ABC , to the extremities of the side ...
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Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected CA² 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 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 Prop right-angled triangle Scholium segment side AC similar similar triangles solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 27 - If 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 two triangles will be equal.
Side 157 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
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 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 10 - CHG; and they are adjacent angles; but when a straight line standing on another straight line makes the adjacent angles equal to one another, each of them is a right angle; and the straight line which stands upon the other is called a perpendicular to it; therefore from the given point C a perpendicular CH has been drawn to the given straight line AB.
Side 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.
Side 22 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
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 41 - It follows that either couplet of a proportion may be multiplied or divided by any quantity, and the resulting quantities will be in proportion. And since by...