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 4
... greater. 3. A point which bi- sects a given finite straight line , A B , B of it ; the two together shall be double ... greater of two magnitudes , increased or diminished by any magni- tude , is greater than the less increased or ...
... greater. 3. A point which bi- sects a given finite straight line , A B , B of it ; the two together shall be double ... greater of two magnitudes , increased or diminished by any magni- tude , is greater than the less increased or ...
Seite 8
... greater than the interior and opposite angle D B Cor A B C. ( 8. Cor . 1. ) Therefore , the angle ACD , and much more A CB , is also greater than ABC . gether greater than B C , if A C be taken from each , BA alone is greater than the ...
... greater than the interior and opposite angle D B Cor A B C. ( 8. Cor . 1. ) Therefore , the angle ACD , and much more A CB , is also greater than ABC . gether greater than B C , if A C be taken from each , BA alone is greater than the ...
Seite 9
... greater than the angle which is contained by the two sides equal to them of the other , the base of that which has the greater angle shall be greater than the base of the other : and conversely . B CE Let А В С , DE F , be two triangles ...
... greater than the angle which is contained by the two sides equal to them of the other , the base of that which has the greater angle shall be greater than the base of the other : and conversely . B CE Let А В С , DE F , be two triangles ...
Seite 19
... greater than the sum of their squares , by 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 ...
... greater than the sum of their squares , by 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 ...
Seite 20
... greater than the square of their difference by four times their rectangle for the former square is greater than the sum of their squares by twice their rectangle ( 32. ) , and the latter square is less than the sum of their squares by ...
... greater than the square of their difference by four times their rectangle for the former square is greater than the sum of their squares by twice their rectangle ( 32. ) , and the latter square is less than the sum of their squares by ...
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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