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" The angles which one straight line makes with another upon one side of i't, are either two right angles, or are together eqval to two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 17
των Euclid, John Playfair - 1853 - 317 σελίδες
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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...angles, or are together equal to two right angles. . K t) BCDBC For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 10.). But if...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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...two right angles. For" if the angle CBA be equal to t ABD, each of them isa right (10 Def.) angle ; but if not, from the point B draw BE at right angles...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...PROPOSITION 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. LET the straight line ab make with cd, upon one side of it, the angles cba, abd : these are either...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853
...in this case the angles ABC, ABD are together equal to two right angles. Hence the angles ABC, ABD are either two right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines,...

The Elements of Euclid: With Many Additional Propositions ..., Μέρος 1

Euclid - 1853 - 136 σελίδες
...PROPOSITION XIII. THEOREM. — Ifaftraight line (AB) standing upon another(GD) forms angles with it, they are either two right angles, or are together equal to two right angles. DEMONSTRATION. For if the line AB is E IA perpendicular to CD, the angles ABC and . / ABD are two right...

Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...XIII.— THEOREM. T!te angles which one straight line (AB) makes with another (DC) upon me side of it, are either two right angles, or are together equal to two right anglet. For the angle А В С is either equal to ABD, or it is not. * Def. 8. If AB С be = AB D,...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...it. PROP. XIII. THEOREM. The angles which one straight line maíces 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 СD, upon one side of it, the two angles С BA, A 3 D. The*e angles...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...isosceles triangles. 2. 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 a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...

Guide to the civil service examinations [by H. White]. By H. White

Henry White - 1856
...reciprocal proportion. 17 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. 18 Divide a straight line into two parts, so that the rectangle contained by the whole and ono of the...

Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 226 σελίδες
...straight line makes w^tk another, one side of it, are either two right angles, or are together equJ< to two right angles. Let the straight line AB make with CD, upon one side of it, the angles ABC, ABD; these are either two right angles, or are together equal to two right angles. For if the...




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