Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 12
... 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 .
... 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 .
Página 16
... whole extent , and form but one and the same straight line . Let there be two straight lines , having the points A and B in common ; these lines will coincide throughout their whole extent . F A B C E D It is plain that the two lines ...
... whole extent , and form but one and the same straight line . Let there be two straight lines , having the points A and B in common ; these lines will coincide throughout their whole extent . F A B C E D It is plain that the two lines ...
Página 17
... whole triangle ABC will coin- cide with the whole triangle DEF , and will be equal to it ; B and the remaining angles of the one , will coincide BOOK 1 . 17.
... whole triangle ABC will coin- cide with the whole triangle DEF , and will be equal to it ; B and the remaining angles of the one , will coincide BOOK 1 . 17.
Página 31
... whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ( Axiom 2 ) . To each of these equals add the angle ACB ; then will the sum of the two angles ACD , ACB be equal to the sum of the three angles ABC ...
... whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ( Axiom 2 ) . To each of these equals add the angle ACB ; then will the sum of the two angles ACD , ACB be equal to the sum of the three angles ABC ...
Página 33
... whole angle ABD is equal to the whole angle ACD . But the angle BAC has been proved equal to the an- gle BDC ; therefore the opposite sides and angles of a par- allelogram are equal to each other . Cor . Two parallels , AB , CD ...
... whole angle ABD is equal to the whole angle ACD . But the angle BAC has been proved equal to the an- gle BDC ; therefore the opposite sides and angles of a par- allelogram are equal to each other . Cor . Two parallels , AB , CD ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 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...
Página 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 148 - I.), that every section of a sphere made by a plane is a circle.