Elements of Geometry and Conic SectionsHarper, 1858 - 234 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 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 .
Σελίδα 13
... of 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.
... of 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.
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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 ...
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.