The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Seite 3
... , the wholes are unequal . 5. If equals be taken from unequals , the remainders are unequal . 6. Things which are double of the same are equal to one another . 7. Things which are halves of the same are equal B 2 DEFINITIONS . 3.
... , the wholes are unequal . 5. If equals be taken from unequals , the remainders are unequal . 6. Things which are double of the same are equal to one another . 7. Things which are halves of the same are equal B 2 DEFINITIONS . 3.
Seite 22
... double ( 34. 1. ) of the triangle BDC ; and they are therefore equal ( 6 Ax . ) to one another . But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not E terminated in the same point ; then ...
... double ( 34. 1. ) of the triangle BDC ; and they are therefore equal ( 6 Ax . ) to one another . But , if the sides AD , EF , opposite to the base BC of the parallelograms ABCD , EBCF , be not E terminated in the same point ; then ...
Seite 25
... double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE ; the parallel- ogram ABCD is double of the triangle EBC . Join AC ; then the triangle ABC is ...
... double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE ; the parallel- ogram ABCD is double of the triangle EBC . Join AC ; then the triangle ABC is ...
Seite 29
... double of the triangle FBC , because these also are upon the same base FB , and between the same parallels FB , GC . But the doubles of equals are equal ( 6 Ax . ) to one another ; therefore the parallelogram BL is equal to the square ...
... double of the triangle FBC , because these also are upon the same base FB , and between the same parallels FB , GC . But the doubles of equals are equal ( 6 Ax . ) to one another ; therefore the parallelogram BL is equal to the square ...
Seite 30
... double of the corresponding angle in the other . * 7. The diagonals of a parallelogram bisect one another at their ... doubles of those drawn to the bisecting points . 12. If the three sides of a triangle be bisected and the points of ...
... double of the corresponding angle in the other . * 7. The diagonals of a parallelogram bisect one another at their ... doubles of those drawn to the bisecting points . 12. If the three sides of a triangle be bisected and the points of ...
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Häufige Begriffe und Wortgruppen
ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore