Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página 4
... third magnitude . 10. Straight lines which pass through parts . 4. A straight line which bisects a given angle , BA ... third , and if one of them exceed the third by as much as the other falls short * Authorities , or things having ...
... third magnitude . 10. Straight lines which pass through parts . 4. A straight line which bisects a given angle , BA ... third , and if one of them exceed the third by as much as the other falls short * Authorities , or things having ...
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... third side , of the one shall be equal to the base , or third side , of the other . Let ABC , DEF be two triangles , which have the two sides A B , A C , equal to the two sides DE , DF , each to each , viz . A B to D E , and AC to D F ...
... third side , of the one shall be equal to the base , or third side , of the other . Let ABC , DEF be two triangles , which have the two sides A B , A C , equal to the two sides DE , DF , each to each , viz . A B to D E , and AC to D F ...
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... third angle BAC shall be equal to the third angle ED F. For , if the triangle A B C be applied to the triangle D E F , so that the point B may be upon E , and the straight line BC upon EF , the point C will coincide with the point F ...
... third angle BAC shall be equal to the third angle ED F. For , if the triangle A B C be applied to the triangle D E F , so that the point B may be upon E , and the straight line BC upon EF , the point C will coincide with the point F ...
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... third case , let D F and D G be D G K one another ( 6. Cor . 2. ) . But E F G is greater than H FG , and E G F is less than KG F. Therefore much more is the angle EFG greater than the angle EGF , as in the first case , and the side EG ...
... third case , let D F and D G be D G K one another ( 6. Cor . 2. ) . But E F G is greater than H FG , and E G F is less than KG F. Therefore much more is the angle EFG greater than the angle EGF , as in the first case , and the side EG ...
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... third be together less than two right angles , the two straight lines will meet one another , and , with the third , form a triangle , if produced far enough . Simson's demonstration of this axiom rests upon an assumption , which is ...
... third be together less than two right angles , the two straight lines will meet one another , and , with the third , form a triangle , if produced far enough . Simson's demonstration of this axiom rests upon an assumption , which is ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical