Elements of Geometry and Conic SectionsHarper, 1849 - 226 Seiten |
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Seite 9
... line are called points . A point , there- fore , has position , but not magnitude , 3. A straight line is the shortest path from one point to another . 4. Every line which is neither a straight line , nor compo- sed of straight lines ...
... line are called points . A point , there- fore , has position , but not magnitude , 3. A straight line is the shortest path from one point to another . 4. Every line which is neither a straight line , nor compo- sed of straight lines ...
Seite 10
... straight lines BC , CD , is called the angle BCD , or DCB . C B E D Angles , like other quantities , may be added ... line , meeting another straight line , makes the adjacent angles equal to one another , each of them is called a right ...
... straight lines BC , CD , is called the angle BCD , or DCB . C B E D Angles , like other quantities , may be added ... line , meeting another straight line , makes the adjacent angles equal to one another , each of them is called a right ...
Seite 12
... line can be drawn . 12. Two straight lines , which intersect one another , 12 GEOMETRY .
... line can be drawn . 12. Two straight lines , which intersect one another , 12 GEOMETRY .
Seite 13
Elias Loomis. 12. Two straight lines , which intersect one another , can not both be parallel to the same straight line . Explanation of Signs . For the sake of brevity , it is convenient to employ , to some extent , the signs of Algebra ...
Elias Loomis. 12. Two straight lines , which intersect one another , can not both be parallel to the same straight line . Explanation of Signs . For the sake of brevity , it is convenient to employ , to some extent , the signs of Algebra ...
Seite 14
... straight line CD be perpendicular to AB , and GH to EF ; then , by defini- tion 10 , each of the angles ACD , BCD ... straight lines AC , CB , EG , GF , all equal to each other ; then will the line AB be equal to the line EF ( Axiom 2 ) ...
... straight line CD be perpendicular to AB , and GH to EF ; then , by defini- tion 10 , each of the angles ACD , BCD ... straight lines AC , CB , EG , GF , all equal to each other ; then will the line AB be equal to the line EF ( Axiom 2 ) ...
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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
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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.