The Geometrical Companion, in which the Elements of Abstract Geometry are Familiarised, Illustrated, and Rendered Practically Useful, EtcJohn Taylor, 1828 - 169 páginas |
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Página 13
... respectively , to two sides of the other ; and likewise the angles contained by those sides equal to one another : then the bases or third sides of these triangles are also equal . ” 1 ART . 2. " In such triangles as above described ...
... respectively , to two sides of the other ; and likewise the angles contained by those sides equal to one another : then the bases or third sides of these triangles are also equal . ” 1 ART . 2. " In such triangles as above described ...
Página 15
... respectively to ab , ac , and the angle a equal to the angle a ( the vessels being supposed exactly similar in con- struction ) . Consequently , by ART . 3 , these triangles will be exactly equal ; and hence will require canvas of ...
... respectively to ab , ac , and the angle a equal to the angle a ( the vessels being supposed exactly similar in con- struction ) . Consequently , by ART . 3 , these triangles will be exactly equal ; and hence will require canvas of ...
Página 21
... respectively , to all the sides of the other , then the angles , which in these triangles are op- posite to equal sides , are also equal . ” с a A B C ART . 7. Such triangles as are described in the pre- ceding Article are equal , in ...
... respectively , to all the sides of the other , then the angles , which in these triangles are op- posite to equal sides , are also equal . ” с a A B C ART . 7. Such triangles as are described in the pre- ceding Article are equal , in ...
Página 22
... respectively equal , the triangles themselves are in every respect equal , and therefore the roof will be equally broad , equally high , and every way equal , from end to end . Or , ART . 1 may be used for this purpose , and then ART ...
... respectively equal , the triangles themselves are in every respect equal , and therefore the roof will be equally broad , equally high , and every way equal , from end to end . Or , ART . 1 may be used for this purpose , and then ART ...
Página 23
... , 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.
... , 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.
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The Geometrical Companion: In Which the Elements of Abstract Geometry Are ... George Darley Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 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...
Página 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.
Página 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.
Página 66 - If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal.
Página 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.
Página 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...
Página 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.
Página 129 - FGL have an angle in one equal to an angle in the other, and their...
Página 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.
Página 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...