The Geometrical Companion, in which the Elements of Abstract Geometry are Familiarised, Illustrated, and Rendered Practically Useful, EtcJohn Taylor, 1828 - 169 σελίδες |
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Σελίδα 1
... given rise to this Art . But many writers upon the subject appear to consider the inundations of that river as affording the most probable cause for the invention and use of Geometry . The Nile annually overspreading the whole country ...
... given rise to this Art . But many writers upon the subject appear to consider the inundations of that river as affording the most probable cause for the invention and use of Geometry . The Nile annually overspreading the whole country ...
Σελίδα 2
... given , that the supposition of the Nile effacing landmarks is gratuitous ; for that the inundation was not in the manner of a torrent , but of a gradual swell , by which landmarks of any stability would have been left undisturbed . It ...
... given , that the supposition of the Nile effacing landmarks is gratuitous ; for that the inundation was not in the manner of a torrent , but of a gradual swell , by which landmarks of any stability would have been left undisturbed . It ...
Σελίδα 8
... given birth to Euclid , the mathematician , who however is ascertained to have flourished and taught at the former place about the year 280 B. C. Besides other works of less celebrity , he compiled the " Elements " which go by his name ...
... given birth to Euclid , the mathematician , who however is ascertained to have flourished and taught at the former place about the year 280 B. C. Besides other works of less celebrity , he compiled the " Elements " which go by his name ...
Σελίδα 14
... given streets being equally wide from each other , the angles man , oap , sat , raq , must be all equal ; and as each pair of sides containing these several angles have been also taken equal , the bases , or third sides , mn , op , st ...
... given streets being equally wide from each other , the angles man , oap , sat , raq , must be all equal ; and as each pair of sides containing these several angles have been also taken equal , the bases , or third sides , mn , op , st ...
Σελίδα 18
... given finite right line . ” In the same manner that Article 1 is chiefly used as a pre- paratory step to the system of theorems , so Problem I. is chiefly used as a preparatory step to the system of problems . But it has likewise an ...
... given finite right line . ” In the same manner that Article 1 is chiefly used as a pre- paratory step to the system of theorems , so Problem I. is chiefly used as a preparatory step to the system of problems . But it has likewise an ...
Άλλες εκδόσεις - Προβολή όλων
The Geometrical Companion: In Which the Elements of Abstract Geometry Are ... George Darley Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abstract Art adjacent angles adjacent sides altitude angle BAC Astronomy base bevel blade breadth bricks centre chord circle circular arch circumference Consequently construction corresponding sides curve describe the circular diagonal diameter distance divided draw drawn edge equiangular equilateral triangle Euclid's Elements exactly equal example feet former Geometry given point given right line gonal greater half a right height Hence inches instrument internal angles joining latter LEARNER lelogram length likewise linear unit manner measure method middle point number of equal observed pair parallel parallelogram perpendicular pieces practical PROB problem Pythagoras radius ratio rectangle rectangular rectilineal figure rendered respectively equal right angles right line intersect round square square-feet square-inches square-yards straight line suppose surface tangent TEACHER Thales theorem tremity triangle ABC triangular upright utility vertex wheel whole yards
Δημοφιλή αποσπάσματα
Σελίδα 13 - If two triangles have two sides of the 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. Given A ABC and A'B'C...
Σελίδα 106 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Σελίδα 67 - In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle.
Σελίδα 66 - If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal.
Σελίδα 160 - If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.
Σελίδα 87 - A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle. 5. In like manner, a circle is said to be inscribed...
Σελίδα 23 - When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 129 - FGL have an angle in one equal to an angle in the other, and their...
Σελίδα 120 - There are two Causes of Beauty, natural and customary. Natural is from Geometry, consisting in Uniformity (that is Equality) and Proportion. Customary Beauty is begotten by the Use of our Senses to those Objects which are usually pleasing to us for other Causes, as Familiarity or particular Inclination breeds a Love to Things not in themselves lovely. Here lies the great Occasion of Errors; here is tried the Architect's Judgment: but always the true Test is natural or geometrical Beauty.
Σελίδα 120 - Beauty is a harmony of objects, begetting pleasure by the eye. There are two causes of beauty, natural and customary. Natural is from GEOMETRY, consisting in uniformity (that is, equality) and proportion. Customary beauty is begotten by the use of our senses...