Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα iv
... corollaries . The reason for this is the great diffi- culty of convincing the average student that any importance should be attached to a corollary . Original exercises , however , have been given , not too numerous or too difficult to ...
... corollaries . The reason for this is the great diffi- culty of convincing the average student that any importance should be attached to a corollary . Original exercises , however , have been given , not too numerous or too difficult to ...
Σελίδα 13
... Corollary is a truth easily deduced from the proposition to which it is attached . 44. DEF . A Scholium is a remark upon some particular fea- ture of a proposition . 45. DEF . An Hypothesis is a supposition made in the enunciation of a ...
... Corollary is a truth easily deduced from the proposition to which it is attached . 44. DEF . A Scholium is a remark upon some particular fea- ture of a proposition . 45. DEF . An Hypothesis is a supposition made in the enunciation of a ...
Σελίδα 14
... corollary . Q. E. D. quod erat demonstran- dum . Q. E. F. quod erat faciendum . Adj . adjacent . Ext . - int . exterior - interior . Alt . - int . alternate - interior . Iden . identical . Cons . construction . Sup . supplementary . Sup ...
... corollary . Q. E. D. quod erat demonstran- dum . Q. E. F. quod erat faciendum . Adj . adjacent . Ext . - int . exterior - interior . Alt . - int . alternate - interior . Iden . identical . Cons . construction . Sup . supplementary . Sup ...
Σελίδα 15
... COROLLARY . If two straight lines cut one another , the four angles which they make at the point of intersection are together equal to four right angles . PROPOSITION II . THEOREM . 51. When the sum of PERPENDICULAR AND OBLIQUE LINES ...
... COROLLARY . If two straight lines cut one another , the four angles which they make at the point of intersection are together equal to four right angles . PROPOSITION II . THEOREM . 51. When the sum of PERPENDICULAR AND OBLIQUE LINES ...
Σελίδα 20
... COROLLARY . Only two equal straight lines can be drawn from a point to a straight line ; and of two unequal lines , the greater cuts off the greater distance from the foot of the perpen- icular . PROPOSITION VII . THEOREM . 57. Two ...
... COROLLARY . Only two equal straight lines can be drawn from a point to a straight line ; and of two unequal lines , the greater cuts off the greater distance from the foot of the perpen- icular . PROPOSITION VII . THEOREM . 57. Two ...
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume