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 |
Fra bogen
Resultater 1-5 af 64
Side 21
SECTION 6. Relations of the sides of of the proposition , the square of M N is together greater than the squares of ... common part M a cer- tain number of times exactly , these theorems are but so many examples of its rules of addition ...
SECTION 6. Relations of the sides of of the proposition , the square of M N is together greater than the squares of ... common part M a cer- tain number of times exactly , these theorems are but so many examples of its rules of addition ...
Side 24
... common section of two planes , see Book IV . ) may be obtained by doubling over a piece of paper upon itself , and a right angle ( def . 10. ) by doubling over this edge upon itself . These are both useful upon occasion , especially the ...
... common section of two planes , see Book IV . ) may be obtained by doubling over a piece of paper upon itself , and a right angle ( def . 10. ) by doubling over this edge upon itself . These are both useful upon occasion , especially the ...
Side 36
... common measure of A , B and C. It is obvious , that in the same manner the ... common measure is contained in each ( see def . 6. ) . Scholium . It may be observed that the foregoing process includes ... Section 3. 36 [ II . § 1 . GEOMETRY .
... common measure of A , B and C. It is obvious , that in the same manner the ... common measure is contained in each ( see def . 6. ) . Scholium . It may be observed that the foregoing process includes ... Section 3. 36 [ II . § 1 . GEOMETRY .
Side 37
... common mea- sure of these two may be found ; and , conversely , if two magnitudes be com- mensurable , a magnitude ... SECTION 2. - Proportion of Commen surable Magnitudes . In the foregoing Section it has been seen how the greatest ...
... common mea- sure of these two may be found ; and , conversely , if two magnitudes be com- mensurable , a magnitude ... SECTION 2. - Proportion of Commen surable Magnitudes . In the foregoing Section it has been seen how the greatest ...
Side 38
... Section , or rather , to the concluding Scholium of the present one ; by ... common ratio of A to B and C to D be any whatever , for example , 845 ; and ... common mea- sures of A and B and of C and D , by which the ratio 84 : 5 is ...
... Section , or rather , to the concluding Scholium of the present one ; by ... common ratio of A to B and C to D be any whatever , for example , 845 ; and ... common mea- sures of A and B and of C and D , by which the ratio 84 : 5 is ...
Andre udgaver - Se alle
Almindelige termer og sætninger
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