 | George Roberts Perkins - Geometry - 1856 - 460 pages
...parallel to each other (T. VH., O.)r and therefore equal. THEOREM XIII. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and ike planes in which they are situated will be parallel. Let CAE, DBF be two... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...they are equal, as shown by the proposition. PROPOSITION XIII. THEOREM. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, these angles will h equal and their planes will be parallel. Let the angles CAE and DBF, have the side AC parallel to... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...consequently, equal. If two angles, not in th? same plane, have their sides parallel and similarly situated, these angles will be equal, and their planes will be parallel. Let the two angles ABC, DEF, lying in different planes MN, PQ, have their M sides parallel each to each... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...plane ; then will AB be parallel to the / D c~~\ plane MN. THEOREM VIII. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and the planes in which they are situated will be parallel. Let CAE, DBF be two... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...parallel to each other (Prop. X. Cor. 1) ; and consequently equal. PROPOSITION XVI. — THEOREM. 424. If two angles not in the same plane have their sides...and lying in the same direction ; then the angles BAC, EDF will be equal, and their planes, MN, PQ, be parallel. For, take AB equal to ED, and AC equal... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...parallel to each other (Prop. X. Cor. 1) ; and consequently equal. PROPOSITION XVI. — THEOREM. 424. If two angles not in the same plane have their sides...and lying in the same direction ; then the angles BAC, EDF will be equal, and their planes, MN, PQ, be parallel. For, take AB equal to ED, and А С... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...parallel to each other (Prop. X. Cor. 1) ; and consequently equal. PROPOSITION XVI. — THEOREM. 424. If two angles not in the same plane have their sides...parallel and lying in the same direction, these angles loill be equal, and their planes will be parallel. Let BA 0, EDF be two triangles, lying in different... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...parallel to each other (Prop. X. Cor. 1) ; and consequently equal. PROPOSITION XVI. — THEOREM. 424. If two angles not in the same plane have their sides...their planes will be parallel. Let BAC, EDF be two tri- M/angles, lying in different planes, MN and PQ, having their sides parallel and lying in the same... | |
 | Benjamin Greenleaf - Geometry - 1866 - 328 pages
...parallel to each other (Prop. X. Cor. 1) ; and consequently equal. PROPOSITION XVI. — THEOREM. 424. If two angles not in the same plane have their sides...and lying in the same direction ; then the angles BAG, EDF will be equal, and their planes, MN, PQ, be parallel. For, take AB equal to ED, and AC equal... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...parallel to each other (Prop. X. Cor. 1) ; and consequently equal. PROPOSITION XVI. — THEOREM. 424. If two angles not in the same plane have their sides...and lying in the same direction ; then the angles BAC, EDF will be equal, and their planes, MN, PQ, be parallel. For, take AB equal to ED, and AC equal... | |
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If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let... 
