Solid and Spherical Geometry and Conic Sections: Being a Treatise on the Higher Branches of Synthetical Geometry, Containing the Solid and Spherical Geometry of Playfair ...William and Robert Chambers and sold by all booksellers, 1837 - 164 σελίδες |
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Αποτελέσματα 1 - 5 από τα 61.
Σελίδα 2
... equal circles , when they are either both greater or both not greater than a ... ( Pl . Ge . I. Def . 3 , Cor . ) * Therefore ABC is not a straight line ... ( Pl . Ge . I. Def . 8 ) ; A E for the same reason , the straight line D BC is in the ...
... equal circles , when they are either both greater or both not greater than a ... ( Pl . Ge . I. Def . 3 , Cor . ) * Therefore ABC is not a straight line ... ( Pl . Ge . I. Def . 8 ) ; A E for the same reason , the straight line D BC is in the ...
Σελίδα 5
... equal to the angle ABC , and they are both in the same plane ; which is impossible : therefore the straight line BC ... ( Pl . Ge . I. 4 ) to the base BE . Again , because AB is equal to DE , and BE to AD , and the base AE common to the ...
... equal to the angle ABC , and they are both in the same plane ; which is impossible : therefore the straight line BC ... ( Pl . Ge . I. 4 ) to the base BE . Again , because AB is equal to DE , and BE to AD , and the base AE common to the ...
Σελίδα 7
... equal to one another ; and join AD , CF , BE , B AC , DF ; because BA is equal and parallel to ED , there- fore AD is ( Pl . Ge . I. 33 ) both equal and parallel to BE ; for the same reason , CF is equal and parallel to BE ; there- fore ...
... equal to one another ; and join AD , CF , BE , B AC , DF ; because BA is equal and parallel to ED , there- fore AD is ( Pl . Ge . I. 33 ) both equal and parallel to BE ; for the same reason , CF is equal and parallel to BE ; there- fore ...
Σελίδα 9
... equal to two right angles ; which is impossible ( Pl . Ge . I. 17 ) ; there- fore the planes CD , EF , though produced , do not meet one another ; that is , they are parallel ( I. Def . 6. ) PROPOSITION XIII . THEOREM . A E If two ...
... equal to two right angles ; which is impossible ( Pl . Ge . I. 17 ) ; there- fore the planes CD , EF , though produced , do not meet one another ; that is , they are parallel ( I. Def . 6. ) PROPOSITION XIII . THEOREM . A E If two ...
Σελίδα 10
... equal ( Pl . Ge . I. 29 ) to two right angles . And BGH is a right angle ; therefore also GBA is a right angle , and GB perpendicular to BA . For the same reason , GB is perpendicular to BC . Since therefore the straight line GB stands ...
... equal ( Pl . Ge . I. 29 ) to two right angles . And BGH is a right angle ; therefore also GBA is a right angle , and GB perpendicular to BA . For the same reason , GB is perpendicular to BC . Since therefore the straight line GB stands ...
Άλλες εκδόσεις - Προβολή όλων
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... A. Bell Πλήρης προβολή - 1837 |
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... William Chambers,Robert Chambers,A Bell Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... William Chambers,Robert Chambers,A Bell Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
absciss altitude angle ABC assymptotes base centre CG² circumference common section cone Conic Sections conic surface conjugate axis conjugate diameters cord cosine cotangent dicular directrix distance draw EK KF ellipse equal Pl foci focus given angle given point greater Hence hyperbola hypotenuse inclination intercepted intersection Let ABC line be drawn line of common ordinate parabola parallel planes parallelogram pendicular perpen perpendicular perspective plane passing point of contact pole primitive prism projection pyramid ABCD quadrant radius ratio rectangle right angles segments semi-ordinate semicircle sides similar triangles sine small circle solid angle solid KQ solid less solid parallelopipeds sphere spherical angle spherical triangle square straight lines drawn subcontrary surface tangent THEOREM transverse axis vertex vertical wherefore
Δημοφιλή αποσπάσματα
Σελίδα 50 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 15 - DAB : any two of them shall be greater than the third. If the angles BAC, CAD, DAB be all equal, it is evident that any two of them are greater than the third: but if they are not, let BAC be that angle which is not less than either of the other two, and is greater than one of them DAB; and at the point A, in the straight line AB, make, in the plane * 23.
Σελίδα 15 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Σελίδα 25 - LR, the base of which is the parallelogram LQ, and of which LM is one of its insisting straight lines : therefore, because the parallelogram AB is equal to CD, as the base AB is to the base LQ, so is (7.
Σελίδα 16 - EC : (i. ax. 5.) and because DA is equal to AE, and AC common, but the base DC greater than the base EC; therefore the angle DAC is greater than the angle EAC ; (i.
Σελίδα 17 - DAB, which contain the solid angle at A, are less than four right angles. Next, let the solid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB. These shall together be less than four right angles.
Σελίδα 11 - THEOH.—If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F...
Σελίδα 11 - FD. Join AC, BD, AD, and let AD meet the plane KL in the point X ; and join EX, XF : because the two parallel planes KL, MN are cut by the plane EBDX, the common sections EX, BD are parallel a.
Σελίδα 27 - FC, as the solid HD to the solid DC : But the base HF is equal to the base AE, and the solid GK to the solid AB : therefore, as the base AE to the base CF, so is the solid AB to the solid CD.
Σελίδα 1 - The inclination of a straight line to a plane is the acute angle contained by that straight line, and another drawn from the point in which the first line meets the plane, to the point in which...