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 93.
Σελίδα 22
... line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the ... AC is equal ( 11. Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But ...
... line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the ... AC is equal ( 11. Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But ...
Σελίδα 23
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to ... AC equal to the two sides DE , DF , each to each , viz , AB to DE , and AC to DF ; and let the angle BAC be also equal ...
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to ... AC equal to the two sides DE , DF , each to each , viz , AB to DE , and AC to DF ; and let the angle BAC be also equal ...
Σελίδα 24
... A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coinciding with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ...
... A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coinciding with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ...
Σελίδα 27
... straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to EF : therefore BC coinciding with EF , BA and AC shall coincide with ED , and DF ; for , if BA , and CA do not coincide with ED , and ...
... straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to EF : therefore BC coinciding with EF , BA and AC shall coincide with ED , and DF ; for , if BA , and CA do not coincide with ED , and ...
Σελίδα 28
... AC , and ( 3. 1. ) make CE equal to CD , and upon DE describe ( 1. 1. ) the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the given point C , is at right angles to the given straight line AB , A D C E B ...
... AC , and ( 3. 1. ) make CE equal to CD , and upon DE describe ( 1. 1. ) the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the given point C , is at right angles to the given straight line AB , A D C E B ...
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