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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 22
των Euclid - 1810 - 518 σελίδες
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...another upon one side of it, are either two right angles, or are together equal to two right angles. XIV. If, at a point in a straight line, two other straight lines, upon the op. posite sides of it, make the adjacent angles together equal to two right angles, these two straight...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...makes with another on the same side of it, are together equal to two right angles. PROP. II. THEOR. If, at a point in a straight line, two other straight lines on the opposite sides of it make the adjacent angles together equal to two right angles, these two...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 σελίδες
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines are in one and the same straight line. At the point B in the straight line AB, let the two straight...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...angles, are equal to one another ; that is, x = m-\-nx = two right angles. PROPOSITION XIY. THEOREM. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines shiill be in one and the same straight line. At the point B in the straight line AB, let the two straight...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 σελίδες
...3. that Zs DBA + ABC = the two rt. Zs CBE + EBD. PROPOSITION XIV. (Argument ad absurdum). Theorem. If, at a point in a straight line, two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight...

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 σελίδες
...which are these interior angles. 24. If, at one point in a straight line, two other straight lines make the adjacent angles, together, equal to two right angles, these two lines are in the same straight line. SECTION III. ONE TRIANGLE. M. — State all you have learnt concerning...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...any number of lines meeting in one point, are together equal to four right angles. PROP. XIV. THEOR. IF, at a point in a straight line, two other straight lines on the opposite sides of it, make the adjacent angles together equal to two right angles, these two...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...of it, 'make tlic adjacent angles together equal to two right angles, these tiro straight line • 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 adjacent angles ABC,...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...therefore DBA, ABC are together equal to two right angles. Wherefore, the angles, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight...straight line. At the point B in the straight line AB, let the two straight lines ( A BC, BD upon the opposite sides of AB, make the adjacent angles ABC,...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 σελίδες
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines are in one and the same straight line. At the point B in the straight line AB, let the two straight...




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