Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα 5
... equal to E F , and down a distance equal to FH . These three dimensions we designate for convenience length , breadth , and thickness . 6. The limits ( extremities ) of lines are points . The limits ( boundaries ) of surfaces are lines ...
... equal to E F , and down a distance equal to FH . These three dimensions we designate for convenience length , breadth , and thickness . 6. The limits ( extremities ) of lines are points . The limits ( boundaries ) of surfaces are lines ...
Σελίδα 11
... equal , if they can be so placed that the points at their extremities coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality ...
... equal , if they can be so placed that the points at their extremities coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality ...
Σελίδα 13
... equal to the same thing are equal to each other . 2. When equals are added to equals the sums are equal . 3. When equals are taken from equals the remainders are equal . 4. When equals are added to unequals the sums are unequal . 5 ...
... equal to the same thing are equal to each other . 2. When equals are added to equals the sums are equal . 3. When equals are taken from equals the remainders are equal . 4. When equals are added to unequals the sums are unequal . 5 ...
Σελίδα 20
... equal dis- tances from the foot of the 1 , are equal ) . But CH + HE > CK + KE , $ 54 ( The sum of two oblique lines drawn from a point to the extremities of a straight line is greater than the sum of two other lines similarly drawn ...
... equal dis- tances from the foot of the 1 , are equal ) . But CH + HE > CK + KE , $ 54 ( The sum of two oblique lines drawn from a point to the extremities of a straight line is greater than the sum of two other lines similarly drawn ...
Σελίδα 21
... equal distances from the foot of the perpendicular . C A B E F K Let C F be the perpendicular , and C E and C K be two equal oblique lines drawn from the point C. We are to prove FE = FK . Fold over CFA on CF as an axis , until it comes ...
... equal distances from the foot of the perpendicular . C A B E F K Let C F be the perpendicular , and C E and C K be two equal oblique lines drawn from the point C. We are to prove FE = FK . Fold over CFA on CF as an axis , until it comes ...
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A B C AABC AACB ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC 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