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" ... the exterior angle equal to the interior and opposite on the same side of the line ; and likewise the two interior angles on the same side of the line together equal to two right angles. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 138
by Thomas Perronet Thompson - 1833 - 150 pages
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 442 pages
...stright line intersect two parallel straight lines it makes the alternate angles equal to each other, and the exterior angle equal to the interior and opposite on the same side of the line. (P) All angles in the same segment of a circle are equal to each other. (Q) An angle at the centre...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...conversely ; so that if a line falling upon or crossing other two lines makes the alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...conversely ; so that if a line falling upon or crossing other two lines makes the alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude...
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An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839 - 498 pages
...line intersect two parallel straight lines, it makes the alternate angles equal to each other, and the exterior angle equal to the interior and opposite on the same side of the line. (86) All angles in the same segment of a circle are equal to each other. (87) An angle at the centre...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...straight line intersect two parallel lines, it makes the alternate angles equal to each other; also, any exterior angle equal to the interior and opposite on the same side; and the two interior angles on the same side together equal to two right angles. Let the straight line...
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The popular educator, Volume 4; Volume 7

Popular educator - 1854 - 1274 pages
...itscit into the proposition, that if ;i straight line falls upon two parallel straight lines, it makes the exterior angle equal to the interior and opposite on the same side of the lino ; propounded in other terms, without the intervention of any new or explanatory idea. 18. In a...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 234 pages
...straight line intersect two parallel lines, it makes the alternate angles equal to each other ; also, any exterior angle equal to the interior and opposite on the same side ; and the two interior angles on the same side together equal to two right angles. Let the straight...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...line fall upon two parallel straight Unes, it makes the alternate angles equal to each other ; and the exterior angle equal to the interior and opposite on the same side of the line ; and the two interior angles on the same side together equal to two right angles. 5. The opposite...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872 - 212 pages
...straight lines are parallel and are intersected by a third straight line, the exterior /_ so formed is equal to the interior and opposite ^ on the same side of the intersecting line. (Prop. XXIX.) 2. That if two AS hare two ^s of the one equal to two ^s of the other,...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 142 pages
...perpendicular to it. PROPOSITION XXVIII. THEOREM. If a straight line falling on two other straight lines •make the exterior angle equal to the interior and opposite on the same side of the line; or make the interior angles on fhe same side together equal to two right angles ; the two straight...
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