Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 9
... extremities of a 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 ...
... extremities of a 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 ...
Página 19
... extremities of either side , their sum will be less than the sum of the other two sides of the triangle . Let the two straight lines BD , CD be drawn from D , a point within the triangle ABC , to the extremities of the side BC ; then ...
... extremities of either side , their sum will be less than the sum of the other two sides of the triangle . Let the two straight lines BD , CD be drawn from D , a point within the triangle ABC , to the extremities of the side BC ; then ...
Página 25
... extremities of the line . 2d . Every point out of the perpendicular is unequally dis- tant from those extremities . Let the straight line EF be drawn perpen- dicular to AB through its middle point , C. F E First . Every point of EF is ...
... extremities of the line . 2d . Every point out of the perpendicular is unequally dis- tant from those extremities . Let the straight line EF be drawn perpen- dicular to AB through its middle point , C. F E First . Every point of EF is ...
Página 44
... extremities of the arc . 6. A straight line is said to be inscribed in a circle , when its extremities are on the circumference . An inscribed angle is one whose sides are inscribed . 7. A polygon is said to be inscribed in a circle ...
... extremities of the arc . 6. A straight line is said to be inscribed in a circle , when its extremities are on the circumference . An inscribed angle is one whose sides are inscribed . 7. A polygon is said to be inscribed in a circle ...
Página 50
... extremity , is a tangent to the circumference . Let ABG be a circle , the center of which is C , and the di- ameter AB ; and let AD be drawn from A perpendicular to AB ; AD will be a tangent to the circum- ference . In AD take any point ...
... extremity , is a tangent to the circumference . Let ABG be a circle , the center of which is C , and the di- ameter AB ; and let AD be drawn from A perpendicular to AB ; AD will be a tangent to the circum- ference . In AD take any point ...
Otras ediciones - Ver todas
ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 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...
Página 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 148 - I.), that every section of a sphere made by a plane is a circle.