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 3
... straight line from A , the middle of one side , to B , the middle of the side op- posite , and another straight line from c , the middle of one remaining side , to D , the middle of the side opposite . Four lesser squares would be thus ...
... straight line from A , the middle of one side , to B , the middle of the side op- posite , and another straight line from c , the middle of one remaining side , to D , the middle of the side opposite . Four lesser squares would be thus ...
Σελίδα 9
... straight line of history . Whatever collateral facts or anec- dotes remain shall be interspersed by detail through our little Volume , so as to render it as attractive as is com- patible with a subject not easily rendered at once useful ...
... straight line of history . Whatever collateral facts or anec- dotes remain shall be interspersed by detail through our little Volume , so as to render it as attractive as is com- patible with a subject not easily rendered at once useful ...
Σελίδα 10
... lines meeting at the same point , but not lying in the same right line . " The instrument called a Bevel , of extensive use in the mechanical arts , is a practical instance of an angle . It is formed of two straight blades OE , OD ...
... lines meeting at the same point , but not lying in the same right line . " The instrument called a Bevel , of extensive use in the mechanical arts , is a practical instance of an angle . It is formed of two straight blades OE , OD ...
Σελίδα 11
... line of the deck from stem to stern , the angle delineated would be what is ... straight , and the hinge pretty stiff , might serve upon occasion instead of ... straight line from the most prominent part of the fore- head to A , the most ...
... line of the deck from stem to stern , the angle delineated would be what is ... straight , and the hinge pretty stiff , might serve upon occasion instead of ... straight line from the most prominent part of the fore- head to A , the most ...
Σελίδα 18
... line . ” In the same manner that Article 1 is chiefly used as a pre- paratory step to the system of theorems , so ... straight flanks , ab , de . But since the time of Vauban , the celebrated French military engineer , the flanks have ...
... line . ” In the same manner that Article 1 is chiefly used as a pre- paratory step to the system of theorems , so ... straight flanks , ab , de . But since the time of Vauban , the celebrated French military engineer , the flanks have ...
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...