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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. "
The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ... - Strona 50
autor: W. Davis Haskoll - 1858 - Liczba stron: 324
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - Liczba stron: 518
...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...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - Liczba stron: 684
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - Liczba stron: 540
...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...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - Liczba stron: 366
...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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - Liczba stron: 488
...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,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - Liczba stron: 290
...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - Liczba stron: 332
...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...
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A companion to Euclid: being a help to the understanding and remembering of ...

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

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

Robert Simson - 1838 - Liczba stron: 434
...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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