The Quadrature of the Circle: The Square Root of Two, and the Right-angled TriangleWilstach, Baldwin & Company, printers, 1873 - 164 σελίδες |
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Σελίδα 17
... Theorem of the Quadrature of the Circle , and the relation of this theorem with the Visions of Ezechiel and the Revelation of St. John . He does not fail , after the example of his colaborers , to ascribe his discovery to a special ...
... Theorem of the Quadrature of the Circle , and the relation of this theorem with the Visions of Ezechiel and the Revelation of St. John . He does not fail , after the example of his colaborers , to ascribe his discovery to a special ...
Σελίδα 21
... theorem is that the square of the diameter is to that of the circumference , as 22 times the radius multiplied by the square root of 3 is to 432 times the radius . A more experienced geometrician would have said as eleven times the ...
... theorem is that the square of the diameter is to that of the circumference , as 22 times the radius multiplied by the square root of 3 is to 432 times the radius . A more experienced geometrician would have said as eleven times the ...
Σελίδα 25
... theorems , and if he did not excel Van Ceulen he verified his result , which he put beyond at- tack . His discoveries on this subject are found in the book entitled Willebrordi Snelli Cyclometricus de ... theorem which INTRODUCTION . 25.
... theorems , and if he did not excel Van Ceulen he verified his result , which he put beyond at- tack . His discoveries on this subject are found in the book entitled Willebrordi Snelli Cyclometricus de ... theorem which INTRODUCTION . 25.
Σελίδα 26
... theorem which Snellius had taken for granted . There are also many very simple geometrical con- structions which ... theorems on the relation of the circle to the in- scribed and circumscribed polygons , and their relation to each other ...
... theorem which Snellius had taken for granted . There are also many very simple geometrical con- structions which ... theorems on the relation of the circle to the in- scribed and circumscribed polygons , and their relation to each other ...
Σελίδα 30
... theorem which gives the tangent of the sum and difference of two arcs whose tangents are given ; for there being no extraction of square roots in this formula , if the arcs have their tangents rational , the tangent of the sum will be ...
... theorem which gives the tangent of the sum and difference of two arcs whose tangents are given ; for there being no extraction of square roots in this formula , if the arcs have their tangents rational , the tangent of the sum will be ...
Άλλες εκδόσεις - Προβολή όλων
The Quadrature of the Circle the Square Root of Two and the Right-Angled ... William Alexander Myers Περιορισμένη προεπισκόπηση - 2023 |
The Quadrature of the Circle the Square Root of Two and the Right-Angled ... William Alexander Myers Περιορισμένη προεπισκόπηση - 2023 |
The Quadrature of the Circle, the Square Root of Two, and the Right-Angled ... William Alexander. Myers Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
apothem arc cutting Archimedes ARTICLE assumed circumference assumed diameter Bisect chord circumscribed double triangle circumscribed polygon consequently cosine cumference curve decimal places deducted demonstration diagonal difference discovery division and cancellation double the number draw expressed extracting the square figures geometricians geometry give given arc given circle given polygon given radius given triangle half the number hyperbola hypothenuse hypothesis infinite inscribed and circumscribed inscribed double triangle inscribed polygon inscribed square James Gregory less limit mathematical mean proportional method multiplied number of sides Oronce Finée parabola perimeter perpendicular Plate polygon of double Polygons are Carried problem PROPOSITION quadrature quantity radius rectangle contained regular polygon result already established right angle right line right-angled triangle Scholium secant sine solution square described square root straight line subtracted tangent theorem triangle DAC trigonometry true circumference true ratio truth unity variable
Δημοφιλή αποσπάσματα
Σελίδα 65 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 39 - It furnishes art with all her materials, and without it judgment itself can at best but " steal wisely : " for art is only like a prudent steward that lives on managing the riches of nature.' Whatever praises may be given to works of judgment, there is not even a single beauty in them to which the invention...
Σελίδα 71 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal.
Σελίδα 39 - Nor is it a wonder if he has ever been acknowledged the greatest of poets, who most excelled in that which is the very foundation of poetry. It is the invention that in different degrees...
Σελίδα 78 - COR. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean proportional between the segments of the base; and also that each of the sides is a mean proportional between the base, and...
Σελίδα 71 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Σελίδα 39 - And perhaps the reason why common critics are inclined to prefer a judicious and methodical genius to a great and fruitful one, is, because they find it easier for themselves to pursue their observations through an uniform and bounded walk of art, than to comprehend the vast and various extent of nature.
Σελίδα 31 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Σελίδα 74 - In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle.
Σελίδα 69 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.