Elements of Geometry and Conic SectionsHarper & Brothers, 1857 - 226 sider |
Inni boken
Resultat 1-5 av 34
Side 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 .
Side 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 . A B F E D It is plain that the two lines must ...
... 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 . A B F E D It is plain that the two lines must ...
Side 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 I. 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 I. 17.
Side 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 ...
Side 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 ...
Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone 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 given angle greater Hence Prop hyperbola inscribed intersection join latus rectum less 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 radii radius ratio rectangle regular polygon right angles Prop Scholium segment side BC similar similar triangles solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC triangle DEF vertex vertices VIII
Populære avsnitt
Side 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.
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 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 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 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.
Side 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
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 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 30 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.