The Essentials of Geometry (plane)D.C. Heath & Company, 1898 - 242 σελίδες |
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Σελίδα
... greater difficulty than those previously given . The author wishes to acknowledge , with thanks , the many suggestions which he has received from teachers in all parts of the country , which have added materially to the value of the ...
... greater difficulty than those previously given . The author wishes to acknowledge , with thanks , the many suggestions which he has received from teachers in all parts of the country , which have added materially to the value of the ...
Σελίδα 4
... greater than any of its parts . 18. Since but one straight line can be drawn between two points , a straight line is said to be determined by any two of its points . 19. Symbols and Abbreviations . The following symbols will be used in ...
... greater than any of its parts . 18. Since but one straight line can be drawn between two points , a straight line is said to be determined by any two of its points . 19. Symbols and Abbreviations . The following symbols will be used in ...
Σελίδα 7
... greater than a right angle ; as DEF Acute and obtuse angles are called oblique angles ; and intersecting lines . which are not perpendicular , are said to be oblique to each other . B ( § 25 ) C D E F 28. Two angles are said to be ...
... greater than a right angle ; as DEF Acute and obtuse angles are called oblique angles ; and intersecting lines . which are not perpendicular , are said to be oblique to each other . B ( § 25 ) C D E F 28. Two angles are said to be ...
Σελίδα 9
... greater exceeds the less by 37 ° . How many degrees are there in each angle ? PROP . II . THEOREM . 32. If two adjacent angles have their exterior sides in the same straight line , their sum is equal to two right angles . E A C B Let ...
... greater exceeds the less by 37 ° . How many degrees are there in each angle ? PROP . II . THEOREM . 32. If two adjacent angles have their exterior sides in the same straight line , their sum is equal to two right angles . E A C B Let ...
Σελίδα 13
... greater is seven times the less . How many degrees are there in each angle ? PROP . V. THEOREM . 41. If a perpendicular be erected at the middle point of a straight line , I. Any point in the perpendicular is equally distant from the ...
... greater is seven times the less . How many degrees are there in each angle ? PROP . V. THEOREM . 41. If a perpendicular be erected at the middle point of a straight line , I. Any point in the perpendicular is equally distant from the ...
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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.