Elements of GeometryGinn, Heath, & Company, 1879 - 250 σελίδες |
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Σελίδα iii
... , and are placed in the middle of the page , so that they fall directly under the eye in imme- diate connection with the corresponding text . The given lines AIMBOTLIAD PREFACE . of the figures are full lines , 541724.
... , and are placed in the middle of the page , so that they fall directly under the eye in imme- diate connection with the corresponding text . The given lines AIMBOTLIAD PREFACE . of the figures are full lines , 541724.
Σελίδα iv
... given is printed in one kind of type , of what is required in another , and the demonstration in still another . The reason for each step is indicated in small type between that step and the one follow- ing , thus preventing the ...
... given is printed in one kind of type , of what is required in another , and the demonstration in still another . The reason for each step is indicated in small type between that step and the one follow- ing , thus preventing the ...
Σελίδα vi
... given by multiplying a constant into the approximate values of any repetend . If , for exam- ple , we take the constant 60 and the repetend .3333 , etc. , the approxi- mate values of the repetend will be 1 % , 10 % , 1800 , 3333 , etc ...
... given by multiplying a constant into the approximate values of any repetend . If , for exam- ple , we take the constant 60 and the repetend .3333 , etc. , the approxi- mate values of the repetend will be 1 % , 10 % , 1800 , 3333 , etc ...
Σελίδα 7
... given straight line into an assigned number of equal parts . For , assumed that the ath part of a given line were not attainable , then the double , triple , quadruple , of the nth part would not be attainable . Among these multiples ...
... given straight line into an assigned number of equal parts . For , assumed that the ath part of a given line were not attainable , then the double , triple , quadruple , of the nth part would not be attainable . Among these multiples ...
Σελίδα 9
... angle is the difference between a right angle and the given angle . Thus ABD is the complement of the angle DB C ; also DBC is the com- A D 31. DEF . The Supplement of an angle is the plement of the angle A B D. B DEFINITIONS . 9.
... angle is the difference between a right angle and the given angle . Thus ABD is the complement of the angle DB C ; also DBC is the com- A D 31. DEF . The Supplement of an angle is the plement of the angle A B D. B DEFINITIONS . 9.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD acute adjacent angles alt.-int altitude arc A B base bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure Geometry given circle given line given point given straight line greater homologous sides hypotenuse Iden isosceles triangle Let A B limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral quantities radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment shortest side sides of equal similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 144 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 38 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 134 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 200 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 159 - In any triangle the product of two sides is equal to the product of the diameter...
Σελίδα 132 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 70 - I) is a parallelogram, E and F the middle points of AD and BC respectively ; show that BE and DF will trisect the diagonal A C.
Σελίδα 48 - 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, the third side of the first is greater than the third side of the second...
Σελίδα 81 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.