| William Somerville Orr - Science - 1854
...straight lines (AB, CD) male the exterior angle (EGB) equal to the interior and opposite angle (GHD) **upon the same side of the line; or make the interior angles** (BGH, GHD) upon the same side together equal to tico right angles; the two straight lines (AB, CD)... | |
| Euclides - 1855
...these two straight lines are parallel. PROP. XXVm. THEOREM. If a straight line faUing upon two oiher **straight lines, make the exterior angle equal to the interior and opposite** angle upon the same side of the straight line ; or make the two interior angles upon the same side... | |
| Cambridge univ, exam. papers - 1856
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another and **the exterior angle equal to the interior and opposite upon the same side;** and likewise the two interior angles upon the same side together equal to two right angles. If two... | |
| Cambridge univ, exam. papers - 1856
...and the exterior angle equal to the interior and opposite upon the same side; and likewise the two **interior angles upon the same side together equal to two right angles.** 6. If a parallelogram and a triangle be upon the same base, and between the same parallels : the parallelogram... | |
| Elias Loomis - Conic sections - 1857 - 226 pages
...two other straight lines, makes Che alternate angles equal to each other, or makes an exterior tngle **equal to the interior and opposite upon the same side of the** secant line, these two lines are parallel. Let the straight line EF, which E intersects the two straight... | |
| 1858
...the exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two **interior angles upon the same side together equal to two right angles.** 3. PROP. XL VIII. — If the square described upon one t>f the sides of a triangle, be equal to the... | |
| Euclides - 1860
...parallel to CD. PROPOSITION XXTHI. THEOREM. If a straight line falling upon two other straight lines makes **the exterior angle equal to the interior and opposite upon the same side of the line, or** makes the interior angles upon the same side together equal to two right angles, the two straight lines... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and **the exterior angle equal to the interior and opposite upon the same side** ; and likewise the two interior angles upon the same side together equal to two right angles. Let the... | |
| Royal college of surgeons of England - 1860
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and **the exterior angle equal to the interior and opposite upon the same side** ; and likewise the two interior angles upon the saine side together equal to two right angles. 6. Parallelograms... | |
| Civil service
...the exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two **interior angles upon the same side together equal to two right angles.** PKOP. XL VIII. — If the square described upon one of the sides of a triangle, be equal to the squares... | |
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