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" The angles which one straight line makes with another upon one tide 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 two right... "
Elements of plane geometry, book i, containing nearly the same propositions ... - Seite 37
von Euclides - 1865
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...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,...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 Seiten
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 Seiten
...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 two 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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...given point without it. PROP. XIII. 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 two right angles. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite...
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Report of the Committee of Council on Education (England and ..., Ausgabe 2

Great Britain. Council on Education - 1848 - 596 Seiten
...and an equilateral triangle. Prove that 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. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 Seiten
...and an equilateral triangle. Prove that 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. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight...
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Minutes ...: Correspondence, Financial Statements, Etc., and Reports ..., Band 2

Great Britain. Committee on Education - 1848 - 606 Seiten
...and an equilateral triangle. Prove that 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. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 Seiten
...the angle EGH, PROPOSITION II. THEOREM. 77/o 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. if not, suppose the line BE to be drawn from the point B, perpendicular to CD; then will each of the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...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 to ABD, each of them is a right (Def. 10.) angle; but, if not, from...
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The English Journal of Education, Band 4

1850 - 488 Seiten
...Order of Jesuits. GEOMETRY. SECTION I. 1. 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. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
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