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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Σελίδα 4
... less . 8. The half of the greater is greater than the half of the less . 9. If there be two magnitudes , and a third , and if one of them exceed the third by as much as the other falls short * Authorities , or things having authority ...
... less . 8. The half of the greater is greater than the half of the less . 9. If there be two magnitudes , and a third , and if one of them exceed the third by as much as the other falls short * Authorities , or things having authority ...
Σελίδα 7
... less than two right angles . Therefore , the angles A B C , ACB together are less than two right angles . Therefore , & c . Cor . 1. ( Euc . i . 16. ) If one side of a triangle ABC , as BC , be produced to F , the exterior angle A C F ...
... less than two right angles . Therefore , the angles A B C , ACB together are less than two right angles . Therefore , & c . Cor . 1. ( Euc . i . 16. ) If one side of a triangle ABC , as BC , be produced to F , the exterior angle A C F ...
Σελίδα 8
... less than the two sides of the other . For , if CD be produced to meet the side A B of the en- veloping triangle in E , BD and DC together will be less than B E and EC together , ( ax . 6. ) because B D is less than BE and ED together ...
... less than the two sides of the other . For , if CD be produced to meet the side A B of the en- veloping triangle in E , BD and DC together will be less than B E and EC together , ( ax . 6. ) because B D is less than BE and ED together ...
Σελίδα 9
... less than of some certain length , there must be some , one or more , shorter than the others . Therefore , the shortest path is the straight line ACB . From this pro- perty the straight line which joins two points derives the name of ...
... less than of some certain length , there must be some , one or more , shorter than the others . Therefore , the shortest path is the straight line ACB . From this pro- perty the straight line which joins two points derives the name of ...
Σελίδα 10
... less than the exterior right angle AFC , and again AFD or AFC less than the exterior angle ADB , much more is the angle ABD less than AD B , and therefore also the side AD less than AB ( 9. ) . Cor . 3. In the same manner it may be ...
... less than the exterior right angle AFC , and again AFD or AFC less than the exterior angle ADB , much more is the angle ABD less than AD B , and therefore also the side AD less than AB ( 9. ) . Cor . 3. In the same manner it may be ...
Άλλες εκδόσεις - Προβολή όλων
Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Πλήρης προβολή - 1835 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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