Elements of GeometryGinn and Heath, 1881 - 250 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 ...
... 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 ...
Σελίδα 47
... . Q. E. D. \ Ex . 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.
... . Q. E. D. \ Ex . 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 A E B Let the line C E bisect the ACB of the isosceles ДАС В. 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 BCE . = Hyp ...
... base , and bisects the base . C A E B Let the line C E bisect the ACB of the isosceles ДАС В. 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 BCE . = Hyp ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD acute adjacent angles alt.-int altitude apothem arc A B BC² bisect centre chord A B circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse Iden isosceles triangle Let A B limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices