The Essentials of Geometry (plane)D.C. Heath & Company, 1898 - 242 σελίδες |
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Αποτελέσματα 1 - 5 από τα 15.
Σελίδα 6
... fall on point E , and sides AB and BC on sides DE and EF , respec- tively , the angles are equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . B 23. Two angles are said to be adjacent when they ...
... fall on point E , and sides AB and BC on sides DE and EF , respec- tively , the angles are equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . B 23. Two angles are said to be adjacent when they ...
Σελίδα 7
... fall upon point E , and line AB upon line DE . Then , line BC will fall upon line EF ; for otherwise we should have two lines perpendicular to DE at E , which is impossible . [ At a given point in a straight line , but one perpendicular ...
... fall upon point E , and line AB upon line DE . Then , line BC will fall upon line EF ; for otherwise we should have two lines perpendicular to DE at E , which is impossible . [ At a given point in a straight line , but one perpendicular ...
Σελίδα 13
... fall upon line AD . ( § 26 ) But by hyp . , BD = AD . Whence , point B will fall on point A. Then line BE will coincide with line AE . [ But one str . line can be drawn between two points . ] ( Ax . 3 ) .. AE BE . = F E A D B II . Given ...
... fall upon line AD . ( § 26 ) But by hyp . , BD = AD . Whence , point B will fall on point A. Then line BE will coincide with line AE . [ But one str . line can be drawn between two points . ] ( Ax . 3 ) .. AE BE . = F E A D B II . Given ...
Σελίδα 25
... falling on side DE , and side AC on side DF . Then since AB = DE and AC = DF , point B will fall on point E , and point C on point F. Whence , side BC will coincide with side EF . ( Ax . 3 ) [ But one str . line can be drawn between two ...
... falling on side DE , and side AC on side DF . Then since AB = DE and AC = DF , point B will fall on point E , and point C on point F. Whence , side BC will coincide with side EF . ( Ax . 3 ) [ But one str . line can be drawn between two ...
Σελίδα 26
... falling on point D , and point B on point E. Then since A = Z D , side AC will fall on side DF , and point C will fall somewhere on DF . And since B = ≤ E , side BC will fall on side EF , and` point C will fall somewhere on EF . Then ...
... falling on point D , and point B on point E. Then since A = Z D , side AC will fall on side DF , and point C will fall somewhere on DF . And since B = ≤ E , side BC will fall on side EF , and` point C will fall somewhere on EF . Then ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² AC and BC AC² adjacent angles altitude angles are equal apothem approach the limit arc BC base and altitude BC² bisector bisects CD² centre chord circumference circumscribed construct the triangle Converse of Prop decagon diagonals diameter Draw line EFGH equal angles equal respectively equally distant equiangular polygon equilateral triangle equivalent exterior angle figure Given line given point given square homologous sides hypotenuse isosceles triangle line CD line joining measured by arc middle point non-parallel sides number of sides opposite sides parallel parallelogram perimeter perpendicular points of sides polygons AC produced Prove Proof quadrilateral radii radius ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segment side BC similar triangles subtended tangent THEOREM transversal trapezoid triangle is equal vertex ZAOB
Δημοφιλή αποσπάσματα
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 124 - In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 122 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Σελίδα 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 40 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first 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 38 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 192 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 193 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Σελίδα 142 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.