Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added Elements of Plane and Spherical TrigonometryJ.B. Lippincott, 1857 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 78
Pagina 8
... meet together , but are not in the same straight line . B D 24 E N. B. ' When several angles are at one point B , any one of them is ex- pressed by three letters , of which the letter that is at the vertex of the an- gle , that is , at ...
... meet together , but are not in the same straight line . B D 24 E N. B. ' When several angles are at one point B , any one of them is ex- pressed by three letters , of which the letter that is at the vertex of the an- gle , that is , at ...
Pagina 11
... meet . POSTULATES . 1. LET it be granted that a straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be ...
... meet . POSTULATES . 1. LET it be granted that a straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be ...
Pagina 27
... meet to- wards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 30. Def . ) A E B G D C to one another . AB ...
... meet to- wards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 30. Def . ) A E B G D C to one another . AB ...
Pagina 28
... meet on the side of EF on which the two angles are that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
... meet on the side of EF on which the two angles are that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
Pagina 29
... meet K and C. therefore the other two , HGL , GHD are greater than Therefore , since KL and CD are not parallel , and since towards L and D , they must meet if produced towards COR . 2. If BGH is a right angle , GHD will be a right ...
... meet K and C. therefore the other two , HGL , GHD are greater than Therefore , since KL and CD are not parallel , and since towards L and D , they must meet if produced towards COR . 2. If BGH is a right angle , GHD will be a right ...
Altre edizioni - Visualizza tutto
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1853 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1851 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualizzazione completa - 1836 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular plane polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore