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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. "
Annual Report - Page 36
1868
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...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...two right 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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...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...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

Mathematics - 1836 - 366 pages
...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...two right 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...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...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...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, A BD ; these are...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...perpendicular CH has been drawn to the given straight line AB. Which was to be done. PROP. XIII. THEORThe angles which one straight line makes with another...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...
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