The Geometrical Companion, in which the Elements of Abstract Geometry are Familiarised, Illustrated, and Rendered Practically Useful, EtcJohn Taylor, 1828 - 169 pàgines |
Des de l'interior del llibre
Resultats 1 - 5 de 21.
Pàgina 4
... spaces , at first suggested by these portions , but afterwards ideally multiplied , new - modelled , and representing not only those , but any lines and figures whatsoever in real or ima- ginary existence , are the objects of the latter ...
... spaces , at first suggested by these portions , but afterwards ideally multiplied , new - modelled , and representing not only those , but any lines and figures whatsoever in real or ima- ginary existence , are the objects of the latter ...
Pàgina 5
George Darley. vestigation of other properties of spaces beside that of their magnitude . So that each of the original words which compound the term Geometry is inadequate , and the whole term itself altogether insufficient , to express ...
George Darley. vestigation of other properties of spaces beside that of their magnitude . So that each of the original words which compound the term Geometry is inadequate , and the whole term itself altogether insufficient , to express ...
Pàgina 30
... space , or , in other words , the vertical angles BCE , DCA , are equal . Ad- ditional weight being thrown into the opposite scale d , the A D B E corresponding arm , cn , descends , and the other , CE , rises , both through the same ...
... space , or , in other words , the vertical angles BCE , DCA , are equal . Ad- ditional weight being thrown into the opposite scale d , the A D B E corresponding arm , cn , descends , and the other , CE , rises , both through the same ...
Pàgina 31
... space above it . LESSON III . DEF . IX . " Two right lines are said to be equally distant from one another when any two points whatsoever in the one not the greater , and any two equally remote points in the other , being taken , the ...
... space above it . LESSON III . DEF . IX . " Two right lines are said to be equally distant from one another when any two points whatsoever in the one not the greater , and any two equally remote points in the other , being taken , the ...
Pàgina 49
... space filled up by rubbish , or cement , as sometimes happens . LEARNER . Might not the same method be used to cal- culate the number of slates , or tiles , on the roof of a house , -if they were all of the same shape and size ? TEACHER ...
... space filled up by rubbish , or cement , as sometimes happens . LEARNER . Might not the same method be used to cal- culate the number of slates , or tiles , on the roof of a house , -if they were all of the same shape and size ? TEACHER ...
Altres edicions - Mostra-ho tot
The Geometrical Companion, in which the elements of abstract geometry are ... George DARLEY Visualització completa - 1841 |
The Geometrical Companion: In Which the Elements of Abstract Geometry Are ... George Darley Previsualització no disponible - 2016 |
Frases i termes més freqüents
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
Passatges populars
Pàgina 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...
Pàgina 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.
Pàgina 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.
Pàgina 66 - If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal.
Pàgina 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.
Pàgina 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...
Pàgina 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.
Pàgina 129 - FGL have an angle in one equal to an angle in the other, and their...
Pàgina 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.
Pàgina 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...