 | Charles Davies - Geometry - 1850 - 238 pages
...perpendicular to the plane HGI, they will be parallel to each other. D GEOMETRY . Of Planes. THEOREM XI. If two angles, not situated in the same plane, have their sides parallel and lying in tlie. same direction, the angles will be equal. Let the angles ACE and DDF have the sides AC parallel... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...(P. 11) ; and being parallel, they are equal, as shown by the proposition. PROPOSITION XIII. THEOEEM. If two angles, not situated 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 the angles CAE and DBF, have the... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...the plane MN (P. 11) ; and being parallel, they are equal, as shown by the proposition. 166 GEOMETRY. PROPOSITION XIII. THEOREM. If two angles, not situated...their sides parallel and lying in the same direction, these angles will be equal and their planes will be parallel. Let the angles CAE and DBF, have the... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...perpendicular to the plane HGI- they will be parallel to each otherE G D GE 0 ME T 11 YOf PlanesTHEOREM XIIf two angles, not situated in the same plane, have their sides parallel and ly1ng in the same ditection, the angles will be equalLet the angles ACE and BDF have the sides AC parallel... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...planes MN", PQ, they will be parallel to each other (T. VH., O.)r and therefore equal. THEOREM XIII. If two angles, not situated in the same plane, have...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 angles not situated in... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...measures the distance of the same parallels at the point E. PROPOSITION XXIV. THEOREM. If two angles have their sides parallel and lying in the same direction, they will be equal. Let BAC and DEF be the two angles, having AB parallel to ED, and AC to EF; then will they be equal.... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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 will be equal, and their planes will be parallel. Let BAC, EDF be two triangles, lying... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...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 will be equal, and their planes will be parallel. Let BAC, EDF be two triangles, lying... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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 will be equal, and their planes will be parallel. Let BAC, EDF be two tri- M/angles, lying... | |
 | Francis Henney Smith - Geometry, Descriptive - 1868 - 86 pages
...between two parallel planes, are equal. (El. Geo., Book V. Prop. XVI.) PROP. XXIII. If two angles, not in the same plane, have their sides parallel and lying...same direction, they will be equal, and the planes of the angles will be parallel. (El. Geo., BookV. Prop. XVII.) PROP. XXIV. If three parallel planes... | |
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THEOREM. 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. 
