Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
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Αποτελέσματα 1 - 5 από τα 67.
Σελίδα 14
... angles ABC , ABD ; these are either two right angles , or are to- gether equal to two right angles . For if the angle ABC is equal to ABD , each of them is a right angle ( Def . 10 ) ; but C B D To E B D if not , suppose the line 14 ...
... angles ABC , ABD ; these are either two right angles , or are to- gether equal to two right angles . For if the angle ABC is equal to ABD , each of them is a right angle ( Def . 10 ) ; but C B D To E B D if not , suppose the line 14 ...
Σελίδα 15
... angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . each of these equals add the angle ABD ... ABC , ABD are together equal to two right angles . Therefore , the angles which one straight line , & c . Corollary ...
... angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . each of these equals add the angle ABD ... ABC , ABD are together equal to two right angles . Therefore , the angles which one straight line , & c . Corollary ...
Σελίδα 16
... angle ABC , and the remaining angle ABE , is equal ( Axiom 3 ) to the remain- ing angle ABD , the less to the greater , which is impossible . Hence BE is not in the same straight line with BC ; and in like manner , it may be proved that ...
... angle ABC , and the remaining angle ABE , is equal ( Axiom 3 ) to the remain- ing angle ABD , the less to the greater , which is impossible . Hence BE is not in the same straight line with BC ; and in like manner , it may be proved that ...
Σελίδα 17
... angle A equal to the angle D ; then will the triangle ABC be equal to the triangle DEF . B CE F For , if the triangle ABC is ap- plied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE , the point ...
... angle A equal to the angle D ; then will the triangle ABC be equal to the triangle DEF . B CE F For , if the triangle ABC is ap- plied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE , the point ...
Σελίδα 18
... angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the an- gle DFE . Therefore , if two triangles , & c . PROPOSITION VII . THEOREM . If two triangles have two angles , and the ...
... angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the an- gle DFE . Therefore , if two triangles , & c . PROPOSITION VII . THEOREM . If two triangles have two angles , and the ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 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...
Σελίδα 11 - A rhombus, is that which has all its sides equal, but its angles are not 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 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.
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.
Σελίδα 148 - I.), that every section of a sphere made by a plane is a circle.