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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... "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - الصفحة 15
بواسطة Euclides - 1845
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - عدد الصفحات: 382
...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...with CD, upon one side of it, the angles CBA, ABD ; these are together equal to two right angles. For, if the ancle CBA be equal to ABD, each of them...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - عدد الصفحات: 218
...AB. Which was to be done. PROPOSITION XIII. THEOR. — 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. EUCLID'S ELEMENTS. For if the angle CBA be equal to ABD, each of them { 10 DeV. 2 Ax. 2 AX. D CD is...

A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - عدد الصفحات: 444
...PROPOSITION I. — THKOREM. The angles ACD and DCB, which one straight line, DC, makes with another, AB, on one side of it, are either two right angles, or are together equal to two right angles. A If the Ls ACD and DCB be equal, each of them is a i'L, (Def. 9.) ; but if they are not equal, conceive...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - عدد الصفحات: 128
...THEOR. 13. 1 Eu. of it, Zs DBA, ABC; then /_ DBA + Z. 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 AB make with DC, on the same side ABC=2rt. Zs DBCDBC If L ABC = L DBA, Der. 10. each of them is a rt....

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

Euclid, John Playfair - 1846 - عدد الصفحات: 334
...right 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 he equal to ABD, each of them is a right angle (Def. 7.) ; but, if not, from...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - عدد الصفحات: 292
...right 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 A to ABD, each of them is a right I \ ^ angle (Def. 10) : But if not,...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - عدد الصفحات: 128
...J_ CH has been drawn, &c. PROP. XII. THEOR. 13. 1 EU. The angles which one straight line makes with another upon one side of it, are either two right angles, or are toffether equal to two right angles. Let AB make wilh DC, on the same side of it, L s DBA, ABC; then...

Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - عدد الصفحات: 168
...prop. 8, (c) def. 10. 13 Th. The angles (ABC, ABD), made by one straight line (AB) with another (CD), upon one side of it, are either two right angles, or are equal to two right angles. ABD, are equal to one another, they are right angles (a); if unequal, from...

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

John Playfair - 1847 - عدد الصفحات: 340
...PROP. XIII. THEOR. i The angles which one straight line makes with another upon one side of it, art either two right angles, or are together equal to...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...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - عدد الصفحات: 128
...first be proved. 35 PROP. XIII. THEOR. GEN. ENUN. — 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. PART. ENUN. — Let the st. line AB make with CD, upon one side of it, Fig. 1. the Zs CBA, ABD; then...




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