Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
Dentro del libro
Resultados 1-5 de 52
Página v
... measurements otherwise difficult or impossible . For example , see the theorems on con- gruence of triangles , §§ 31-43 , the constructions of §§ 44-58 , and the theorems on proportional segments , §§ 243-254 . Com- pare especially § 34 ...
... measurements otherwise difficult or impossible . For example , see the theorems on con- gruence of triangles , §§ 31-43 , the constructions of §§ 44-58 , and the theorems on proportional segments , §§ 243-254 . Com- pare especially § 34 ...
Página vii
... Measurement of Angles 88 Problems and Applications 92 Angles formed by Tangents , Chords , and Secants 95 Summary of Chapter II 106 Problems and Applications 107 CHAPTER III . Measurement of Straight Line - segments . Approximate ...
... Measurement of Angles 88 Problems and Applications 92 Angles formed by Tangents , Chords , and Secants 95 Summary of Chapter II 106 Problems and Applications 107 CHAPTER III . Measurement of Straight Line - segments . Approximate ...
Página viii
... Measurement of the Circle 188 Summary of Chapter V 194 Problems and Applications 195 CHAPTER VI . Variable Geometric Magnitudes . Graphic Representation 207 Dependence of Variables 215 Limit of a Variable 217 CHAPTER VII . Review and ...
... Measurement of the Circle 188 Summary of Chapter V 194 Problems and Applications 195 CHAPTER VI . Variable Geometric Magnitudes . Graphic Representation 207 Dependence of Variables 215 Limit of a Variable 217 CHAPTER VII . Review and ...
Página 3
... measure the amount of land washed away by the Nile , so that the taxes might be equalized . The Greeks , however , were the first to study geometry from a logi- cal point of view . Between 600 в.с. , when Thales , a Greek from Asia ...
... measure the amount of land washed away by the Nile , so that the taxes might be equalized . The Greeks , however , were the first to study geometry from a logi- cal point of view . Between 600 в.с. , when Thales , a Greek from Asia ...
Página 8
... measure for angles are one three - hun- dred - sixtieth of a perigon which is called a degree , one sixtieth of a degree called a minute , and one sixtieth of a minute called a second . These are denoted respectively by the symbols o ...
... measure for angles are one three - hun- dred - sixtieth of a perigon which is called a degree , one sixtieth of a degree called a minute , and one sixtieth of a minute called a second . These are denoted respectively by the symbols o ...
Otras ediciones - Ver todas
Términos y frases comunes
ABCD acute angle adjacent angles altitude angle formed angles are equal apothem axes of symmetry axioms base bisects called central angle chord circle tangent circumscribed coincide congruent corresponding sides Definition diagonal diameter distance divided dodecagon Draw drawn equal angles equal circles equiangular equilateral triangle EXERCISES exterior angle figure Find the area Find the locus Find the radius fixed point geometric Give the proof given point given segment given triangle Hence hypotenuse hypothesis inches inscribed intersection isosceles trapezoid isosceles triangle l₁ length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perigon perimeter plane proof in full quadrilateral radii ratio rectangle regular hexagon regular octagon regular polygon rhombus right angles right triangle secant semicircle Show shown square straight angle straight line subtend SUGGESTION THEOREM trapezoid triangle ABC vertex vertices width
Pasajes populares
Página 223 - If two triangles have two sides of the one equal to two sides of the other...
Página 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 60 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Página 182 - 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.
Página 161 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Página 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Página 210 - The area of a rectangle is equal to the product of its base and altitude.
Página 31 - Kuclid divided unproved propositions into two classes: axioms, or "common notions," which are true of all things, such as, " If things are equal to the same thing they are equal to each other"; and postulates, which apply only to geometry, such as,