The Geometrical Companion, in which the Elements of Abstract Geometry are Familiarised, Illustrated, and Rendered Practically Useful, EtcJohn Taylor, 1828 - 169 sider |
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Side 12
... greater the facial angle , as is evident ; and hence the size of the facial angle becomes a test of the longitudinal capacity of the forehead , and thence in some measure of the intellectual powers which are supposed to reside in , and ...
... greater the facial angle , as is evident ; and hence the size of the facial angle becomes a test of the longitudinal capacity of the forehead , and thence in some measure of the intellectual powers which are supposed to reside in , and ...
Side 16
... greater nor less than one certain quantity . Had I not read the proof of this , I should be rather inclined to think that the three angles of a large triangle were greater , when taken to- gether , than the three angles of a smaller one ...
... greater nor less than one certain quantity . Had I not read the proof of this , I should be rather inclined to think that the three angles of a large triangle were greater , when taken to- gether , than the three angles of a smaller one ...
Side 20
... greater of two given right lines a part equal to the less , " we have only to take in our compasses from the given point , or on the given greater line , the lengths required ; as is evident . PROB . IV . " To divide a given rectilineal ...
... greater of two given right lines a part equal to the less , " we have only to take in our compasses from the given point , or on the given greater line , the lengths required ; as is evident . PROB . IV . " To divide a given rectilineal ...
Side 25
... greater than a right angle , the blade DC in its first position will fall to the left of the true perpendicular co , in its second to the right , and the angle DCD ' will be twice the error of the in- strument . But if the angle DCE be ...
... greater than a right angle , the blade DC in its first position will fall to the left of the true perpendicular co , in its second to the right , and the angle DCD ' will be twice the error of the in- strument . But if the angle DCE be ...
Side 31
... greater , and any two equally remote points in the other , being taken , the right lines which join each op- posite pair of points towards the same hand are equal to each other . " It is a pity that the doctrine of parallel lines should ...
... greater , and any two equally remote points in the other , being taken , the right lines which join each op- posite pair of points towards the same hand are equal to each other . " It is a pity that the doctrine of parallel lines should ...
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The Geometrical Companion, in which the elements of abstract geometry are ... George DARLEY Uten tilgangsbegrensning - 1841 |
The Geometrical Companion: In Which the Elements of Abstract Geometry Are ... George Darley Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 66 - If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal.
Side 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.
Side 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...
Side 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.
Side 129 - FGL have an angle in one equal to an angle in the other, and their...
Side 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.
Side 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...