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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Resultat 1-5 av 48
Side 15
... twice as many right angles as the figure has sides . For , if from any point in the same plane , straight lines be drawn , one after the other , parallel to the sides of the figure , the angles contained by these straight lines about ...
... twice as many right angles as the figure has sides . For , if from any point in the same plane , straight lines be drawn , one after the other , parallel to the sides of the figure , the angles contained by these straight lines about ...
Side 18
... twice M is equal to 4 times M square , because it is a rectangle , in which each of the sides contains M twice . In like manner , the square of 3 times M is equal to 9 times M square - of 4 times M to 16 times M square - of 5 times M to ...
... twice M is equal to 4 times M square , because it is a rectangle , in which each of the sides contains M twice . In like manner , the square of 3 times M is equal to 9 times M square - of 4 times M to 16 times M square - of 5 times M to ...
Side 19
... twice their rectangle . A CR Let the straight line A B be the sum of the two straight lines AC , CB : the square of A B shall be greater than the squares of AC , CB , by twice the rectangle AC , CB . Because the straight line AB is ...
... twice their rectangle . A CR Let the straight line A B be the sum of the two straight lines AC , CB : the square of A B shall be greater than the squares of AC , CB , by twice the rectangle AC , CB . Because the straight line AB is ...
Side 20
... twice the rectangle AB , BC . But twice the square of B C , together with twice the rectangle A B , BC , is ( 32. ) equal to twice the rectangle A C , C B. There- fore , the square of A B is less than the squares of A C , B C , by twice ...
... twice the rectangle AB , BC . But twice the square of B C , together with twice the rectangle A B , BC , is ( 32. ) equal to twice the rectangle A C , C B. There- fore , the square of A B is less than the squares of A C , B C , by twice ...
Side 22
... twice the rectan- gle BA , AC also , that the figure AFKG is a square , and equal to the square of BA + AC : and hence it easily follows that the square of BC is equal to the squares of B A , A C ( 32. and ax . 3. ) . To shew the ...
... twice the rectan- gle BA , AC also , that the figure AFKG is a square , and equal to the square of BA + AC : and hence it easily follows that the square of BC is equal to the squares of B A , A C ( 32. and ax . 3. ) . To shew the ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Uten tilgangsbegrensning - 1835 |
Vanlige uttrykk og setninger
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