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
... remainders are equal . 4. The doubles of equals are equal . 5. The halves of equals are equal . 6. The greater of two magnitudes , increased or diminished by any magni- tude , is greater than the less increased or diminished by the same ...
... remainders are equal . 4. The doubles of equals are equal . 5. The halves of equals are equal . 6. The greater of two magnitudes , increased or diminished by any magni- tude , is greater than the less increased or diminished by the same ...
Página 16
... remainder AE is equal to the whole or the remainder DF ( ax . 2. or 3. ) . Therefore , the two triangles EA B , FDC , having two sides of the one equal to two sides of the other , each to each , and the included angles E AB , FDC equal ...
... remainder AE is equal to the whole or the remainder DF ( ax . 2. or 3. ) . Therefore , the two triangles EA B , FDC , having two sides of the one equal to two sides of the other , each to each , and the included angles E AB , FDC equal ...
Página 35
... 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 A and B ; then , since M is contained a certain number of times in B , it is ...
... 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 A and B ; then , since M is contained a certain number of times in B , it is ...
Página 36
... remainder , if there be one ; the preceding remainder by this , and find the third remainder ; and so on , until a remainder be found which is contained an exact number of times in the next preceding ; this last remainder will be the ...
... remainder , if there be one ; the preceding remainder by this , and find the third remainder ; and so on , until a remainder be found which is contained an exact number of times in the next preceding ; this last remainder will be the ...
Página 38
... remainder of the present Section , with the open- complete theory of proportion , to peruse with care ing paragraphs of Section 3. , and then pass on to Section 4 .; which they may do with the assurance of no difficulty being presented ...
... remainder of the present Section , with the open- complete theory of proportion , to peruse with care ing paragraphs of Section 3. , and then pass on to Section 4 .; which they may do with the assurance of no difficulty being presented ...
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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