Elements of Geometry and Conic SectionsHarper, 1849 - 226 Seiten |
Im Buch
Ergebnisse 1-5 von 20
Seite 6
... represent . I have made free use of dotted lines . Generally , the black lines are used to represent those parts of a figure which are directly involved in the statement of the proposition ; while the dotted lines exhibit the parts ...
... represent . I have made free use of dotted lines . Generally , the black lines are used to represent those parts of a figure which are directly involved in the statement of the proposition ; while the dotted lines exhibit the parts ...
Seite 36
... represent two sur- faces , and let a square inch be the unit of measure . Now , if this measuring unit is contained B 15 times in A and 24 times in B , then the ratio of A to B is that of 15 to 24. And although it may be difficult to ...
... represent two sur- faces , and let a square inch be the unit of measure . Now , if this measuring unit is contained B 15 times in A and 24 times in B , then the ratio of A to B is that of 15 to 24. And although it may be difficult to ...
Seite 94
... represent it by X ; the square described on X will be equiva- A E lent to the given parallelogram ABDC . B For , by construction , AB : X :: X : CE ; hence X ' is equal to ABX CE ( Prop . I. , Cor . , B. II . ) . But AB X CE is the ...
... represent it by X ; the square described on X will be equiva- A E lent to the given parallelogram ABDC . B For , by construction , AB : X :: X : CE ; hence X ' is equal to ABX CE ( Prop . I. , Cor . , B. II . ) . But AB X CE is the ...
Seite 105
... represent the inscribed polygon whose side is AB , P the corresponding circumscribed polygon ; p the inscribed poly- gon having double the number of sides , P ' the similar cir- cumscribed polygon . Then it is plain that the space CAD ...
... represent the inscribed polygon whose side is AB , P the corresponding circumscribed polygon ; p the inscribed poly- gon having double the number of sides , P ' the similar cir- cumscribed polygon . Then it is plain that the space CAD ...
Seite 106
... BD . F A C X D Let P represent the circumscribed polygon , and p the in- scribed polygon . Then , because the polygons are similar , they are as the squares of the homologous sides EF and AB ( Prop . XXVI . , B. IV . ) 106 GEOMETRY .
... BD . F A C X D Let P represent the circumscribed polygon , and p the in- scribed polygon . Then , because the polygons are similar , they are as the squares of the homologous sides EF and AB ( Prop . XXVI . , B. IV . ) 106 GEOMETRY .
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.