The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 3 από τα 88.
Σελίδα 17
... ABC be any triangle ; any two of its angles are together less than two right angles . C Produce B C to D. Because A CD is the ex- terior angle of the triangle ABC , the angle ACD is greater ( I. 16 ) than the interior and opposite angle ABC ...
... ABC be any triangle ; any two of its angles are together less than two right angles . C Produce B C to D. Because A CD is the ex- terior angle of the triangle ABC , the angle ACD is greater ( I. 16 ) than the interior and opposite angle ABC ...
Σελίδα 195
... ABC is to the base DEF . Therefore , the base ABC is to the base DEF , as the two prisms in the pyramid ABCG is to the two prisms in the pyramid DEFH . In like manner , if the pyramids now made , for example , the two OMNG , STYH , be ...
... ABC is to the base DEF . Therefore , the base ABC is to the base DEF , as the two prisms in the pyramid ABCG is to the two prisms in the pyramid DEFH . In like manner , if the pyramids now made , for example , the two OMNG , STYH , be ...
Σελίδα 212
... A B C and D E F be two spheres , of which the diameters are BC and EF . The sphere A B C has to the sphere D E F the triplicate ratio of that which BC has to EF . For , if not , the sphere A B C must have to a sphere either less or ...
... A B C and D E F be two spheres , of which the diameters are BC and EF . The sphere A B C has to the sphere D E F the triplicate ratio of that which BC has to EF . For , if not , the sphere A B C must have to a sphere either less or ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore