Elements of Geometry and Conic SectionsHarper, 1849 - 226 Seiten |
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Seite 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 ...
Seite 20
... angle ADB equal to ADC ; consequently , each of these an- gles is a right ... ACB ; then will the side AB be equal to the side AC . B D For if AB is not ... ACB , DB is equal to AC , and BC is common to both triangles , also , by ...
... angle ADB equal to ADC ; consequently , each of these an- gles is a right ... ACB ; then will the side AB be equal to the side AC . B D For if AB is not ... ACB , DB is equal to AC , and BC is common to both triangles , also , by ...
Seite 21
... angle ACB be greater than the angle ABC . For if ACB is not greater than ABC , it must be either equal to it , or less . It is not equal , because then the side AB would be equal to the side AC ( Prop . XI . ) , which is con- trary to ...
... angle ACB be greater than the angle ABC . For if ACB is not greater than ABC , it must be either equal to it , or less . It is not equal , because then the side AB would be equal to the side AC ( Prop . XI . ) , which is con- trary to ...
Seite 23
... angle A must be equal to the angle D. In the same manner , it may be proved that the angle B is equal to the angle E ... ACB is equal to the angle FCB ( Prop . VI . ) . But , since the angle ACB is , by supposition , a right angle , FCB ...
... angle A must be equal to the angle D. In the same manner , it may be proved that the angle B is equal to the angle E ... ACB is equal to the angle FCB ( Prop . VI . ) . But , since the angle ACB is , by supposition , a right angle , FCB ...
Seite 31
... 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 , BCA , CAB . But ...
... 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 , BCA , CAB . But ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Keine Leseprobe verfügbar - 2016 |
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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
Beliebte Passagen
Seite 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Seite 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...
Seite 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 148 - I.), that every section of a sphere made by a plane is a circle.