Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 97.
Σελίδα 10
... perpendicular to it . 11. An acute angle is one which is less than a right angle . An obtuse angle is one which is greater than a right angle . 12. Parallel straight lines are such as are in the same plane , and which , being produced ...
... perpendicular to it . 11. An acute angle is one which is less than a right angle . An obtuse angle is one which is greater than a right angle . 12. Parallel straight lines are such as are in the same plane , and which , being produced ...
Σελίδα 14
... perpendicular to AB , and GH to EF ; then , by defini- tion 10 , each of the angles ACD , BCD , EGH , FGH , will be a right angle ; and it is to be proved that the angle ACD is equal to the angle EGH , Take the four straight lines AC ...
... perpendicular to AB , and GH to EF ; then , by defini- tion 10 , each of the angles ACD , BCD , EGH , FGH , will be a right angle ; and it is to be proved that the angle ACD is equal to the angle EGH , Take the four straight lines AC ...
Σελίδα 15
... perpendicular to CD ; then will each of the angles CBE , DBE be a right angle . Now the angle CBA is equal to the ... perpendicular to AB , conversely , AB will be perpendicular to DE . For , because DE is perpendicular to AB , A the ...
... perpendicular to CD ; then will each of the angles CBE , DBE be a right angle . Now the angle CBA is equal to the ... perpendicular to AB , conversely , AB will be perpendicular to DE . For , because DE is perpendicular to AB , A the ...
Σελίδα 23
... perpendicular can be drawn to DE . D A CB E For , if possible , let there be drawn two perpendiculars AB , AC ... perpendicular to this line can not be drawn . For , if possi- ble , let CD and CE be two perpendicu- lars ; then , because ...
... perpendicular can be drawn to DE . D A CB E For , if possible , let there be drawn two perpendiculars AB , AC ... perpendicular to this line can not be drawn . For , if possi- ble , let CD and CE be two perpendicu- lars ; then , because ...
Σελίδα 24
... perpendicular be drawn to this line , and oblique lines be drawn to different points : 1st . The perpendicular will be shorter than any oblique line . 2d . Two oblique lines , which meet the proposed line at equal distances from the ...
... perpendicular be drawn to this line , and oblique lines be drawn to different points : 1st . The perpendicular will be shorter than any oblique line . 2d . Two oblique lines , which meet the proposed line at equal distances from the ...
Άλλες εκδόσεις - Προβολή όλων
ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 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...
Σελίδα 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 148 - I.), that every section of a sphere made by a plane is a circle.