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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Resultater 1-5 af 26
Side 31
... common measure of the two may be found , i . e . a magnitude which is con- tained in each of them a certain number of times exactly . In like manner , any number of mag- nitudes are said to be commensurable , when there is II . § 1 ...
... common measure of the two may be found , i . e . a magnitude which is con- tained in each of them a certain number of times exactly . In like manner , any number of mag- nitudes are said to be commensurable , when there is II . § 1 ...
Side 32
... measure of A , B and C is to be. nitudes are said to be commensurable , when there is some magnitude which is contained in each of them a certain number of times exactly . Magnitudes which have no common measure , are said to be incommen ...
... measure of A , B and C is to be. nitudes are said to be commensurable , when there is some magnitude which is contained in each of them a certain number of times exactly . Magnitudes which have no common measure , are said to be incommen ...
Side 33
... common numerical ratio : and , in every case , if two magnitudes , and other two , have a common numerical ratio ... measure of the second a greater number of times than the third contains a like measure of the fourth : also , when this ...
... common numerical ratio : and , in every case , if two magnitudes , and other two , have a common numerical ratio ... measure of the second a greater number of times than the third contains a like measure of the fourth : also , when this ...
Side 34
... common measure which is contained in A five times and in B six times , any measure of M , as the tenth part , will also measure A and B ( Cor . 1. ) and will be contained in A 10 × 5 times , and in B 10 X 6 times . Cor . 3. Hence , also ...
... common measure which is contained in A five times and in B six times , any measure of M , as the tenth part , will also measure A and B ( Cor . 1. ) and will be contained in A 10 × 5 times , and in B 10 X 6 times . Cor . 3. Hence , also ...
Side 35
... common measure of the two magnitudes shall measure the re- mainder , and any common measure of the remainder and the lesser magnitude , shall measure the greater also . Let B be contained in A twice with a remainder R , and let M be A any ...
... common measure of the two magnitudes shall measure the re- mainder , and any common measure of the remainder and the lesser magnitude , shall measure the greater also . Let B be contained in A twice with a remainder R , and let M be A any ...
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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