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
... method of draw- ing practical benefit from their acquired knowledge , and to furnish a ready answer to the often - repeated inquiry— What is the use of abstract Science ? " Deeply interested in these studies , and impressed with their.
... method of draw- ing practical benefit from their acquired knowledge , and to furnish a ready answer to the often - repeated inquiry— What is the use of abstract Science ? " Deeply interested in these studies , and impressed with their.
Σελίδα 10
... method of drawing practical benefit from their acquired knowledge , and to furnish a ready answer to the often re- peated inquiry - What is the use of abstract Science ? " We shall follow the division into PARTS and LESSONS adopted in ...
... method of drawing practical benefit from their acquired knowledge , and to furnish a ready answer to the often re- peated inquiry - What is the use of abstract Science ? " We shall follow the division into PARTS and LESSONS adopted in ...
Σελίδα 19
... method is as follows : premising that cd produced meets eo at its ex- tremity o , by the rules of fortification- Produce cd through o , until om be of a convenient length ( generally about 30 feet ) . Let us be the third part of the ...
... method is as follows : premising that cd produced meets eo at its ex- tremity o , by the rules of fortification- Produce cd through o , until om be of a convenient length ( generally about 30 feet ) . Let us be the third part of the ...
Σελίδα 20
... method . Choosing the moment when the length of his shadow , ab , was equal to his own height , ac , he con- cluded that the same equality sub- sisted between the shadow AB of the pyramid , and its height ac . Where- fore , he had only ...
... method . Choosing the moment when the length of his shadow , ab , was equal to his own height , ac , he con- cluded that the same equality sub- sisted between the shadow AB of the pyramid , and its height ac . Where- fore , he had only ...
Σελίδα 23
... required , the joining line may indeed be equally divided by trial ; but , perhaps , after all , that will often be found more tedious than the scientifical method . triangle DCB being respectively equal to the three sides DC 23.
... required , the joining line may indeed be equally divided by trial ; but , perhaps , after all , that will often be found more tedious than the scientifical method . triangle DCB being respectively equal to the three sides DC 23.
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...