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 iii
... means of this Companion Library we shall be enabled at once to confirm its readers in the Elements of our first Series , to instruct them in the method of draw- ing practical benefit from their acquired knowledge , and to furnish a ...
... means of this Companion Library we shall be enabled at once to confirm its readers in the Elements of our first Series , to instruct them in the method of draw- ing practical benefit from their acquired knowledge , and to furnish a ...
Σελίδα 1
... means is said to have partitioned the country under his rule among its inhabit- ants . The excavation of the lake Mæris in that kingdom , for the purpose of a reservoir , into which the overflowing Nile might discharge itself , is also ...
... means is said to have partitioned the country under his rule among its inhabit- ants . The excavation of the lake Mæris in that kingdom , for the purpose of a reservoir , into which the overflowing Nile might discharge itself , is also ...
Σελίδα 3
... means an art removed from actual worldly practice , and confined to mere speculation of the mind . B A For example , let us suppose that Codrus died , and left his field , which was nearly a perfect square , like the opposite figure ...
... means an art removed from actual worldly practice , and confined to mere speculation of the mind . B A For example , let us suppose that Codrus died , and left his field , which was nearly a perfect square , like the opposite figure ...
Σελίδα 15
... means restricted to the development of the properties of figures drawn upon paper ; but through their medium is extended to the materials we see or handle daily in our several occu- pations . TEACHER . Yes ; but its utility is not ...
... means restricted to the development of the properties of figures drawn upon paper ; but through their medium is extended to the materials we see or handle daily in our several occu- pations . TEACHER . Yes ; but its utility is not ...
Σελίδα 16
... means a wholesome fear that what you take for knowledge may not be such . To sharpen this instrument is a signal use of Geometry . We are na- turally , from the rash and presumptuous disposition of our minds , in want of some science ...
... means a wholesome fear that what you take for knowledge may not be such . To sharpen this instrument is a signal use of Geometry . We are na- turally , from the rash and presumptuous disposition of our minds , in want of some science ...
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...