The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Seite 5
... bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to ... base EF ; and the triangle ABC to the triangle DEF ; and the other angles to G E H F which the equal sides are ...
... bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to ... base EF ; and the triangle ABC to the triangle DEF ; and the other angles to G E H F which the equal sides are ...
Seite 6
... base BC shall coincide with the base EF , because the point B coinciding with E , and C with F , if the base BC does not coincide with the base EF , two straight lines would enclose a space , which is impossible ( 10 Ax . ) . Therefore the ...
... base BC shall coincide with the base EF , because the point B coinciding with E , and C with F , if the base BC does not coincide with the base EF , two straight lines would enclose a space , which is impossible ( 10 Ax . ) . Therefore the ...
Seite 7
... base . Therefore the angles at the base , etc. Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROPOSITION VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend , or ...
... base . Therefore the angles at the base , etc. Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROPOSITION VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subtend , or ...
Seite 8
... base CD are equal ( 5. 1. ) to one another : but the angle ECD ( 9. Ax . ) is greater than the angle BCD : wherefore ... base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one ...
... base CD are equal ( 5. 1. ) to one another : but the angle ECD ( 9. Ax . ) is greater than the angle BCD : wherefore ... base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one ...
Seite 9
... base DF is equal to the base EF ( 24 Def . ) ; therefore the angle DAF is equal ( 8. 1. ) to the angle EAF ; wherefore the given rectilineal angle BAC is bisected by the straight line AF . Which was to be done . PROPOSITION X. B E PROB ...
... base DF is equal to the base EF ( 24 Def . ) ; therefore the angle DAF is equal ( 8. 1. ) to the angle EAF ; wherefore the given rectilineal angle BAC is bisected by the straight line AF . Which was to be done . PROPOSITION X. B E PROB ...
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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