 | Euclides - 1834 - 518 pągines
...CH has been drawn to the given straight line AB. Which was to be done. PROPOSITION XIII. THEOR. — The angles which one straight line makes with another...angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these shall either... | |
 | 1835 - 684 pągines
...another, which was to be demonstrated. PROP. 2. (Eue. i. 13 & 14.) The adjacent angles, which on» straight line makes with another upon, one side of...angles, or are together equal to two right angles: and, conversely, if the adjacent angles, which one straight line makes with two others at the same... | |
 | Euclid - 1835 - 540 pągines
...Which was to be done. PROP. XIII. THEOR. The angles which one straight line makes with another upon the one side of it, are either two right angles, or are together equal to two right angles. E i. eS. 1. Let the straight line AB make with CD, upon one side of Book I. it, the angles CBA, ABD... | |
 | 1836 - 366 pągines
...may be divided into their pyramids that have triangular bases, and are equal to one another. 1832 14. The angles which one straight line makes with another...angles, or are together equal to two right angles. 1 5. Draw a straight line from a given point either without or in the circumference which shall touch... | |
 | 1836 - 488 pągines
...the two sides of the one shall be equal to the angle contained by the two sides of the other. XIII. The angles which one straight line makes with another...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,... | |
 | Andrew Bell - 1837 - 290 pągines
...therefore each of them is a right angle, and CH is perpendicular to AB (Def. 10). PROPOSITION Xm. THEOREM. The angles which one straight line makes with another...angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD ; these are either... | |
 | John Playfair - 1837 - 332 pągines
...the given point C a perpendicular CH has been drawn to the given straight line AB. PROP. XIII. THEOR. The angles which one straight line makes with another...angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, A BD ; these are either... | |
 | Euclides - 1837 - 112 pągines
...without it. C B PROPOSITION XIII. Theorem, The angles which one straight line makes with another on one side of it, are either two right angles, or are together equal to two right angles. Fig.l. A Fig. 2. 1) Steps of the Demonstration. (In fig. 1, the Z DBA = Z ABC .'. each is a rt. Z).... | |
 | Euclides - 1838 - 264 pągines
...was to be done. •• 5 • • •' PROP. XIII. THEOR. , , The angles which one straight line maket with another upon one side of it, are either two right...angles, or are together equal to two right angles. .. . » Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these shall... | |
 | Robert Simson - 1838 - 434 pągines
...was to be done. PROP. XIII. THEOR. THE angles which one, straight line makes with another upon the one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD ; these are either... | |
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The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. 
