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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. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these shall either be... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 21
av John Playfair - 1847 - 317 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...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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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 sider
...13 & 14.) The adjacent angles, which on» straight line makes with another upon, one side of it, are either 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 same...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...of the other. XIII. 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. XIV. If, at a point in a straight line, two other straight lines, upon the op. posite sides of it,...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 sider
...one another. 1832 14. 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. 1 5. Draw a straight line from a given point either without or in the circumference which shall touch...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...PROPOSITION Xm. THEOREM. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to...either two right angles, or are together equal to AEA two right angles. For, if the angle CBA he equal to ABD, each of them is a right angle (Def. 10);...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...done. PROP. XIII. THEOR. THE angles which one straight line makes with another upon the one side of it, are together equal to two right angles. Let the straight...upon one side of it, the angles CBA, ABD; these are together equal to two right angles. For, if the angle CBA be equal AKA to ABD, each of them (I. def....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...angles. Let the straight line AB make with CD, upon one side of it the angles CBA, A BD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 7.) ; but, if not, from...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 sider
...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 - 264 sider
...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...CD, upon one side of it, the angles CBA, ABD : these shall either be two right angles, or shall together be equal to two right angles. For the angle CBA...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 sider
...angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a right AEA D B DB C (def. 1 0.) angle ; but,...
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