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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Seite 2
... triangle is said to be right- angled , when it has a right angle . Of triangles which are not right - angled , and which are therefore said to be oblique - angled , -an obtuse - angled tri- angle is that which has an obtuse angle ; and ...
... triangle is said to be right- angled , when it has a right angle . Of triangles which are not right - angled , and which are therefore said to be oblique - angled , -an obtuse - angled tri- angle is that which has an obtuse angle ; and ...
Seite 5
... triangle is . less than two right angles . PROP . 3. ( EUC . i . 15. ) If two straight lines cut one another , the ... triangle B ABC be applied to the triangle DE F , so that the point A may be upon D , and the A D A straight line A B ...
... triangle is . less than two right angles . PROP . 3. ( EUC . i . 15. ) If two straight lines cut one another , the ... triangle B ABC be applied to the triangle DE F , so that the point A may be upon D , and the A D A straight line A B ...
Seite 6
... 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 ... triangle be equal to one another , the opposite angles shall be likewise equal : and conversely , if two angles of a ...
... 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 ... triangle be equal to one another , the opposite angles shall be likewise equal : and conversely , if two angles of a ...
Seite 7
... triangles A B C , GEF , have two sides of the one equal to two sides of the other , each to each , and the in- cluded angles equal to one another , the base G F is equal to A C ( 4. ) that is , to DF . Again , because in the triangle ...
... triangles A B C , GEF , have two sides of the one equal to two sides of the other , each to each , and the in- cluded angles equal to one another , the base G F is equal to A C ( 4. ) that is , to DF . Again , because in the triangle ...
Seite 9
... triangle DEG ; or 2 ° upon the base E G ; or 3 ° within the triangle D E G. In the first case , because DG is equal to A C , that is , to D F , the angle DFG is equal to the angle DG F ( 6. ) . But the angle EFG is greater than DFG ...
... triangle DEG ; or 2 ° upon the base E G ; or 3 ° within the triangle D E G. In the first case , because DG is equal to A C , that is , to D F , the angle DFG is equal to the angle DG F ( 6. ) . But the angle EFG is greater than DFG ...
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Häufige Begriffe und Wortgruppen
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