The Geometrical Companion, in which the Elements of Abstract Geometry are Familiarised, Illustrated, and Rendered Practically Useful, EtcJohn Taylor, 1828 - 169 pàgines |
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Pàgina 19
... PROB . I .; with the vertex , n , of this triangle as centre , and its side nm as radius , describe the circular arch mur , which will be the curve required . Fortification is happily of little use within the British islands ; and we ...
... PROB . I .; with the vertex , n , of this triangle as centre , and its side nm as radius , describe the circular arch mur , which will be the curve required . Fortification is happily of little use within the British islands ; and we ...
Pàgina 20
... PROB . IV . " To divide a given rectilineal angle into two equal parts . " The frequent necessity to divide angles into two or more equal parts must be obvious to every one . In all the mechanical arts it occurs , as an artizan would ...
... PROB . IV . " To divide a given rectilineal angle into two equal parts . " The frequent necessity to divide angles into two or more equal parts must be obvious to every one . In all the mechanical arts it occurs , as an artizan would ...
Pàgina 21
... PROB . I .; consequently GAD is half a right angle . Wherefore , if he cuts the plank along the line AGH , the plank DAHC will have a bevel end equal to half a right angle . It is also on this prin- ciple that ready - 21.
... PROB . I .; consequently GAD is half a right angle . Wherefore , if he cuts the plank along the line AGH , the plank DAHC will have a bevel end equal to half a right angle . It is also on this prin- ciple that ready - 21.
Pàgina 22
... онp , with the distance FG as radius . Finally , joining HB , the angle ABC is divided into two equal parts , by PROB . IV . , and producing BH to I , BI is the line re- quired . then , by ART . 7 , the said triangles 22.
... онp , with the distance FG as radius . Finally , joining HB , the angle ABC is divided into two equal parts , by PROB . IV . , and producing BH to I , BI is the line re- quired . then , by ART . 7 , the said triangles 22.
Pàgina 24
... PROB . V. " To divide a given finite right line into two equal parts . " The necessity of this problem is as obvious as that of the last but as it is more easily accomplished by trial , the geometrical construction does not seem to be ...
... PROB . V. " To divide a given finite right line into two equal parts . " The necessity of this problem is as obvious as that of the last but as it is more easily accomplished by trial , the geometrical construction does not seem to be ...
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...