Elements of Geometry and Conic SectionsHarper, 1849 - 226 Seiten |
Im Buch
Ergebnisse 1-5 von 25
Seite 15
... angles CBE , DBE be a right angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . each of ... BAC , CAD , DAE , EAF , formed on the same side of the line BF , is equal to two right c . angles ; for their sum is ...
... angles CBE , DBE be a right angle . Now the angle CBA is equal to the sum of the two angles CBE , EBA . each of ... BAC , CAD , DAE , EAF , formed on the same side of the line BF , is equal to two right c . angles ; for their sum is ...
Seite 19
... angle B be equal to the angle C. For , conceive the angle BAC to be bisected by the straight line AD ; then , in the two trian- gles ABD , ACD , two sides AB , AD , and the in- cluded angle in the one , are equal to the two B D sides AC ...
... angle B be equal to the angle C. For , conceive the angle BAC to be bisected by the straight line AD ; then , in the two trian- gles ABD , ACD , two sides AB , AD , and the in- cluded angle in the one , are equal to the two B D sides AC ...
Seite 21
... angle , will be greater than the base of the other . Let ABC , DEF be two trian- gles , having two sides of the one equal to two sides of the other , viz .: AB equal to DE , and AC to DF , but the angle BAC greater than the angle EDF ...
... angle , will be greater than the base of the other . Let ABC , DEF be two trian- gles , having two sides of the one equal to two sides of the other , viz .: AB equal to DE , and AC to DF , but the angle BAC greater than the angle EDF ...
Seite 22
... angle BAC be greater than the angle EDF . B D E C F For if it is not greater , it must be either equal to it , or less . But the angle BAC is not equal to the angle EDF , because then the base BC would be equal to the base EF ( Prop ...
... angle BAC be greater than the angle EDF . B D E C F For if it is not greater , it must be either equal to it , or less . But the angle BAC is not equal to the angle EDF , because then the base BC would be equal to the base EF ( Prop ...
Seite 27
... angles ABD and BAC is equal to two right an- gles . Therefore , the sum of ABD and ABF is equal to the sum of ABD and BAC . Take away the common angle ABD , and the remainder , ABF , is equal to BAC ; that is , GBF is equal to GAE . Again , ...
... angles ABD and BAC is equal to two right an- gles . Therefore , the sum of ABD and ABF is equal to the sum of ABD and BAC . Take away the common angle ABD , and the remainder , ABF , is equal to BAC ; that is , GBF is equal to GAE . Again , ...
Andere Ausgaben - Alle anzeigen
ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
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.