Plane Geometry |
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Page 2
... application of arithmetic and algebra to geometry. Formulas are given in connection with the theorems and form the basis of many literal exercises and of much computation. 4. The proof of the most difficult as well as 2 PREFACE.
... application of arithmetic and algebra to geometry. Formulas are given in connection with the theorems and form the basis of many literal exercises and of much computation. 4. The proof of the most difficult as well as 2 PREFACE.
Page 2
... of arith- metic and algebra to geometry . Formulas are given in connec- tion with the theorems and form the basis of many literal exercises and of much computation . 4. The proof of the most difficult as well as 2 PREFACE.
... of arith- metic and algebra to geometry . Formulas are given in connec- tion with the theorems and form the basis of many literal exercises and of much computation . 4. The proof of the most difficult as well as 2 PREFACE.
Page 6
... Computation of π Areas of Sectors and Segments General Exercises Maxima and Minima Symmetry Formulas for Reference Index 231 243 250 253 255 264 270 272 273 PRELIMINARY STATEMENT Any physical body , such as a book 6 CONTENTS.
... Computation of π Areas of Sectors and Segments General Exercises Maxima and Minima Symmetry Formulas for Reference Index 231 243 250 253 255 264 270 272 273 PRELIMINARY STATEMENT Any physical body , such as a book 6 CONTENTS.
Page 7
... computation with numbers , and algebra about the equation . Geometry makes use of both of these subjects and applies them in determining the form of objects and in com- paring their relative position and magnitude . It is apparent on ...
... computation with numbers , and algebra about the equation . Geometry makes use of both of these subjects and applies them in determining the form of objects and in com- paring their relative position and magnitude . It is apparent on ...
Page 27
... four triangles given above , making the side AB two inches long . Test ZC with the pro- tractor and compare with the results obtained by computation . 12. The point E bisects the line AC and the STRAIGHT - LINE FIGURES 27.
... four triangles given above , making the side AB two inches long . Test ZC with the pro- tractor and compare with the results obtained by computation . 12. The point E bisects the line AC and the STRAIGHT - LINE FIGURES 27.
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Common terms and phrases
AABC ABCD acute angle ADEF adjacent adjacent angles altitude angle equal angles are equal base bisects chord circumference circumscribed circle construct a regular Construct a square corresponding sides decagon diagonals diameter distance divided drawing an angle drawn equal respectively equal sides equiangular polygon equilateral polygon equilateral triangle EXERCISES figure Find the area Find the length geometry given circle given line given point hypotenuse inch inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle median middle point number of degrees number of sides obtuse parallel lines parallelogram pentagon perimeter perpendicular bisector points equidistant prime numbers Proof protractor Prove quadrilateral radii radius ratio rectangle regular hexagon regular inscribed polygon regular octagon regular polygon rhombus right angle right triangle secant segment semicircle Show sides equal supplementary tangent Theorem transversal triangle ABC vertex vertex angle vertices
Popular passages
Page 153 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Page 189 - 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.
Page 139 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 233 - ... as the squares of their radii, or as the squares of their...
Page 80 - ... the third side of the first is greater than the third side of the second.
Page 148 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 94 - Theorem. In the same circle or in equal circles, equal chords are equidistant from the center; and of two unequal chords the greater is nearer the center. Given two equal © M, M ' , with chords AB = A'B', AE > A'B', and OC, OD, O'C' ±'s from center 0 to AB, AE, and from center O
Page 149 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Page 135 - The area of a rectangle is equal to the product of its base and altitude.
Page 148 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.