Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα vi
... base b , and a variable altitude x , will afford an obvious illustration of the axiomatic truth contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches ...
... base b , and a variable altitude x , will afford an obvious illustration of the axiomatic truth contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches ...
Σελίδα 37
... Base of a triangle is the side on which the triangle is supposed to stand . In an isosceles triangle , the side which is not one of the equal sides is considered the base . HYPOTENUSE . RIGHT . OBTUSE . ACUTE . 87. DEF TRIANGLES . 37 ...
... Base of a triangle is the side on which the triangle is supposed to stand . In an isosceles triangle , the side which is not one of the equal sides is considered the base . HYPOTENUSE . RIGHT . OBTUSE . ACUTE . 87. DEF TRIANGLES . 37 ...
Σελίδα 38
... base , or the base produced . 94. DEF . The Exterior angle of a triangle is the angle in- cluded between a side and an adjacent side produced , as CBD . 95. DEF . The two angles of a triangle which are opposite the exterior angle , are ...
... base , or the base produced . 94. DEF . The Exterior angle of a triangle is the angle in- cluded between a side and an adjacent side produced , as CBD . 95. DEF . The two angles of a triangle which are opposite the exterior angle , are ...
Σελίδα 47
... the other ) . Q. E. D. Ex . If the equal sides of an isosceles triangle be produced , show that the angles formed with the base by the sides produced are equal . PROPOSITION XXIX . THEOREM . 113. A straight line which TRIANGLES . 47.
... the other ) . Q. E. D. Ex . If the equal sides of an isosceles triangle be produced , show that the angles formed with the base by the sides produced are equal . PROPOSITION XXIX . THEOREM . 113. A straight line which TRIANGLES . 47.
Σελίδα 48
... base , and bisects the base . C B E Let the line CE bisect the ACB of the isosceles ДАСВ . We are to prove = I. A ACE △ BCE ; II . line CEL to AB ; III . A E = BE . I. In the ACE and BCE , = AC BC , = CE CE , ZACE Z BCE . = ..A ACE ...
... base , and bisects the base . C B E Let the line CE bisect the ACB of the isosceles ДАСВ . We are to prove = I. A ACE △ BCE ; II . line CEL to AB ; III . A E = BE . I. In the ACE and BCE , = AC BC , = CE CE , ZACE Z BCE . = ..A ACE ...
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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