Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα vi
... 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 the area of the rectangle ...
... 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 the area of the rectangle ...
Σελίδα 38
... Altitude of a triangle is the perpendicular distance from the vertex to the 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 ...
... Altitude of a triangle is the perpendicular distance from the vertex to the 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 ...
Σελίδα 59
... Altitude of a parallelogram or trapezoid is the perpendicular distance between its bases . 132. DEF . The Diagonal of a quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The ...
... Altitude of a parallelogram or trapezoid is the perpendicular distance between its bases . 132. DEF . The Diagonal of a quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The ...
Σελίδα 65
... . $ 66 Q. E. D. 141. COROLLARY . Two rectangles having the same base and altitude are equal ; for they may be applied to each other and will coincide . PROPOSITION XLV . THEOREM . 142. The straight line which QUADRILATERALS . 65.
... . $ 66 Q. E. D. 141. COROLLARY . Two rectangles having the same base and altitude are equal ; for they may be applied to each other and will coincide . PROPOSITION XLV . THEOREM . 142. The straight line which QUADRILATERALS . 65.
Σελίδα 117
... altitude , and C the angle at the base . It is required to construct a △ having the base equal to o , the altitude equal to m , and an at the base equal to C. Take A B equal to o . At the point A , draw the indefinite line A R , making ...
... altitude , and C the angle at the base . It is required to construct a △ having the base equal to o , the altitude equal to m , and an at the base equal to C. Take A B equal to o . At the point A , draw the indefinite line A R , making ...
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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