Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 54.
Σελίδα 30
... diagonal of a polygon is the straight line joining two vertices not adjacent . 133 An exterior angle of a polygon is the angle included between one side and an ad- jacent side produced ; as , angle EDF . TRIANGLES 134 A triangle is a ...
... diagonal of a polygon is the straight line joining two vertices not adjacent . 133 An exterior angle of a polygon is the angle included between one side and an ad- jacent side produced ; as , angle EDF . TRIANGLES 134 A triangle is a ...
Σελίδα 54
... diagonal BD . The ABDA and BDC are equal ; § 167 for BD is common , x = x ' , and y = Ly ' , ≤ ≤ " being alt . int . of parallel lines . " § 121 ... AD = BC , and AB = DC , being homologous sides of equal A. " § 166 Q. E. D. 201 ...
... diagonal BD . The ABDA and BDC are equal ; § 167 for BD is common , x = x ' , and y = Ly ' , ≤ ≤ " being alt . int . of parallel lines . " § 121 ... AD = BC , and AB = DC , being homologous sides of equal A. " § 166 Q. E. D. 201 ...
Σελίδα 55
... diagonal BD . In the ABDA and BDC , BD BD , AD = BC , and AB DC . .. △ BDA = △ BDC , " having three sides of each equal respectively . " Iden . Hyp . Hyp . § 172 :: ≤ x = ≤ x ' , and y = Ly ' , y ' , " being homologous of equal A ...
... diagonal BD . In the ABDA and BDC , BD BD , AD = BC , and AB DC . .. △ BDA = △ BDC , " having three sides of each equal respectively . " Iden . Hyp . Hyp . § 172 :: ≤ x = ≤ x ' , and y = Ly ' , y ' , " being homologous of equal A ...
Σελίδα 56
... diagonal BD . In the △ BDA and BDC , BD = BD , AD = BC , and ≤ x = ≤ x ' , " being alt . int . of parallel lines . " ... A BDA = △ BDC , Δ " having two sides and the included ... diagonals of a parallelogram 56 PLANE GEOMETRY - BOOK I.
... diagonal BD . In the △ BDA and BDC , BD = BD , AD = BC , and ≤ x = ≤ x ' , " being alt . int . of parallel lines . " ... A BDA = △ BDC , Δ " having two sides and the included ... diagonals of a parallelogram 56 PLANE GEOMETRY - BOOK I.
Σελίδα 57
Isaac Newton Failor. PROPOSITION XXXII . THEOREM 206 The diagonals of a parallelogram bisect each other . B XI y HYPOTHESIS . ABCD is a parallelogram whose diagonals intersect at 0 . CONCLUSION . OA OC , and OD OB . PROOF In the A AOD ...
Isaac Newton Failor. PROPOSITION XXXII . THEOREM 206 The diagonals of a parallelogram bisect each other . B XI y HYPOTHESIS . ABCD is a parallelogram whose diagonals intersect at 0 . CONCLUSION . OA OC , and OD OB . PROOF In the A AOD ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal arc BC assigned quantity base bisectors bisects chord circumference circumscribed Compute CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus frustum given circle given line given point homologous hypotenuse HYPOTHESIS inches inscribed intersect isosceles trapezoid isosceles triangle lateral area legs lune median mid-points number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw PROOF Let Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segment semicircle spherical angle spherical degrees spherical excess spherical polygon spherical triangle straight line surface symmetrical tangent tetraedron THEOREM trapezoid triangle ABC triedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 168 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 41 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 38 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 35 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 174 - In any triangle, the product of two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle plus the square of the bisector.
Σελίδα 172 - If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 171 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 199 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 192 - The areas of two rectangles having equal altitudes are to each other as their bases.
Σελίδα 65 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...