The Essentials of Geometry (plane)D.C. Heath & Company, 1898 - 242 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 13
... equally distant from the extremities of the line . II . Any point without the perpendicular is unequally dis- tant ... equal . ] Then , line BD will fall upon line AD . ( § 26 ) But by hyp . , BD = AD . Whence , point B will fall on ...
... equally distant from the extremities of the line . II . Any point without the perpendicular is unequally dis- tant ... equal . ] Then , line BD will fall upon line AD . ( § 26 ) But by hyp . , BD = AD . Whence , point B will fall on ...
Σελίδα 14
... equally distant from the extremities of the line . ] ( $ 41 , I ) Substituting for BE its equal AE , we have AE + EF > BF , or AF > BF . 42. Cor . I. Every point which is equally distant from the extremities of a straight line , lies in ...
... equally distant from the extremities of the line . ] ( $ 41 , I ) Substituting for BE its equal AE , we have AE + EF > BF , or AF > BF . 42. Cor . I. Every point which is equally distant from the extremities of a straight line , lies in ...
Σελίδα 16
... equally distant from the extremities of the line . ] But CD + DC ' < CE + EC ' . [ A str . line is the shortest line ... distance of a point from a line is understood to mean the length of the perpendicular from the point to the line ...
... equally distant from the extremities of the line . ] But CD + DC ' < CE + EC ' . [ A str . line is the shortest line ... distance of a point from a line is understood to mean the length of the perpendicular from the point to the line ...
Σελίδα 19
... equally distant from the extremities of the line . ] ( $ 41 ) -B A E D II . Given CD the from point C to line AB ; and CE and CF oblique lines from C to AB , cutting off unequal distances from the foot of CD ; CF being the more remote ...
... equally distant from the extremities of the line . ] ( $ 41 ) -B A E D II . Given CD the from point C to line AB ; and CE and CF oblique lines from C to AB , cutting off unequal distances from the foot of CD ; CF being the more remote ...
Σελίδα 21
... distance from the foot of the perpendicular from the point to the line . Given CD the 1 from point C to line AB ... equal DF , and by § 49 , II , it cannot be > DF ) PARALLEL LINES . A 52. Def . Two straight lines are said to be parallel ( 1 ) ...
... distance from the foot of the perpendicular from the point to the line . Given CD the 1 from point C to line AB ... equal DF , and by § 49 , II , it cannot be > DF ) PARALLEL LINES . A 52. Def . Two straight lines are said to be parallel ( 1 ) ...
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.