The Essentials of Geometry (plane)D.C. Heath & Company, 1898 - 242 σελίδες |
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Αποτελέσματα 1 - 5 από τα 88.
Σελίδα 4
Webster Wells. 1. Things which are equal to the same thing , or to equals , are equal to each other . 2. If the same ... angles . S , parallelograms . O , circle . , circles . The following abbreviations will also be used : Ax . , Axiom ...
Webster Wells. 1. Things which are equal to the same thing , or to equals , are equal to each other . 2. If the same ... angles . S , parallelograms . O , circle . , circles . The following abbreviations will also be used : Ax . , Axiom ...
Σελίδα 5
... angles have the same vertex , we avoid ambiguity by naming also a letter on each side , placing the letter at the ... equal when one can be applied to the other so that they shall coincide throughout . To prove two angles equal , we do not ...
... angles have the same vertex , we avoid ambiguity by naming also a letter on each side , placing the letter at the ... equal when one can be applied to the other so that they shall coincide throughout . To prove two angles equal , we do not ...
Σελίδα 6
Webster Wells. Thus , if angle ABC can be applied to angle DEF in such B A a manner that point B shall fall on point E ... equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . 23. Two angles are said ...
Webster Wells. Thus , if angle ABC can be applied to angle DEF in such B A a manner that point B shall fall on point E ... equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . 23. Two angles are said ...
Σελίδα 7
... angles are equal . Let CE be this position ; then by the definition of § 24 , CE is perpendicular to AB . Hence , a perpendicular can be drawn to AB at C , and but one . 26. Cor . All right angles are equal . Let ABC and DEF be right ...
... angles are equal . Let CE be this position ; then by the definition of § 24 , CE is perpendicular to AB . Hence , a perpendicular can be drawn to AB at C , and but one . 26. Cor . All right angles are equal . Let ABC and DEF be right ...
Σελίδα 8
... equal parts called minutes , and the min- ute into sixty equal parts , called seconds . Degrees , minutes , and ... angles is a right angle , or 90 ° , one is called the complement of the other ; and if their sum is two right angles , or ...
... equal parts called minutes , and the min- ute into sixty equal parts , called seconds . Degrees , minutes , and ... angles is a right angle , or 90 ° , one is called the complement of the other ; and if their sum is two right angles , or ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² AC and BC AC² AD² adjacent angles altitude angles are equal apothem approach the limit arc BC BC² bisector bisects centre cents chord circumference circumscribed common point construct the triangle Converse of Prop decagon diameter Draw line EFGH equal angles equal respectively equally distant equiangular equiangular polygon equivalent exterior angle Given line given point given straight line homologous sides hypotenuse intersecting isosceles triangle line CD line joining measured by arc meeting 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 segments side BC sides are equal similar triangles subtended tangent THEOREM transversal trapezoid triangles are equal vertex
Δημοφιλή αποσπάσματα
Σελίδα 220 - 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 39 - 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 47 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 69 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 147 - 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 188 - 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 138 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Σελίδα 159 - DB as often as possible. As the lines AD and DB are incommensurable, there must be a remainder, B'B, less than one of the equal parts. Draw B'C
Σελίδα 47 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.