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" If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. "
Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Σελίδα 32
των Euclides - 1879
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...&c. QED PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. At the point B in the straight...

The popular educator, Τόμος 1

Popular educator - 1860 - 424 σελίδες
...at a point ma straight line two other straight line» malte the two angles on opposite sides of it, together equal to two right angles, these two straight lines shall be in the same straight line ; but if they make two right angles on the same side of it, they shall coincide...

Elements of Geometry and Conic Sections

Elias Loomis - 1861 - 254 σελίδες
...THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon me opposite sides of it, make the adjacent angles together...equal to two right angles, these two straight lines are in one and the same straight line. then will BD be in the same straight line with CB. For, if BD...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...angles, (ax. 1.) 7. And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles; 8. Therefore KH is in the same straight line with HM. (I. 14.) 9. And because the straight line HG...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...angles, (ax. 1.) PROP. XIV.— THEOREM. If, at a point in a straight line, two other straight lines, Upon the opposite sides of it, make the adjacent angles together equal to two right angles, then these two straight lines shall be in one and the same straight line. (References — Prop. i....

Responsions

University of Oxford - 1863 - 316 σελίδες
...from a given point without it. 3. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...lines shall be in one and the same straight line. 4. At a given point in a given straight line, make a rectilineal angle equal to a given rectilineal...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides of AB, make...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...lines, upon the opposite sides of it, make the adjavent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line, At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides of AB, make...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 σελίδες
...on the same side of it, are together equal to two right angles. PROPOSITION VI. THEOR. If at a point in a straight line two other straight lines on the...opposite sides of it make the adjacent angles together eqnal to two right angles, these two straight lines are in one and the same straight line. At the point...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...two right angles .... ... I. 13. 2. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles ; then these two straight lines are in one and the same straight line . . . . . . . I. 14. 3. If two...




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