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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 21
... LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre ...
... LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre ...
Σελίδα 22
... straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B , at the dis ...
... straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B , at the dis ...
Σελίδα 23
... straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight ...
... straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight ...
Σελίδα 28
... straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9. 1. ) the angle ...
... straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9. 1. ) the angle ...
Σελίδα 29
... straight line , of unlimited length , from a given point without it . Let AB be a given straight line , which may be length both ways , and let C be a point without it . draw a straight line perpendi- cular to AB from the point C. Take ...
... straight line , of unlimited length , from a given point without it . Let AB be a given straight line , which may be length both ways , and let C be a point without it . draw a straight line perpendi- cular to AB from the point C. Take ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore