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" If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. "
The Elements of Geometry, Symbolically Arranged - Page 21
by Great Britain. Admiralty - 1846
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...Therefore BD is in the same straight line with CB. Wherefore, iŁ at a point, &c. QED Corollary.— IS at a point In a straight line, two other straight lines upon the iams aide of it, make each a right angle with it, these two straight lines shall coincide with each...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...If, at a point in a straight line, two other straight lines upon opposite sides of it make the two adjacent angles together equal to two right angles, these two straight lines must be in one and the same straight line. After proving this, define every geometrical figure you...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...3. If two triangles have their three sides equal each to each, they are equal in every respect. 4. If at a point in a straight line two other straight lines upon opposite sides of it make the adjacent angles together equal to two right angles, then these two straight...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...lines, parallelogram, angle in segment of a circle, rectilinear figure described about a circle. 2. If at a point in a straight line two other straight lines on the opposite sides of it m;ike the adjacent angles together equal to two right angles, these two...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 292 pages
...+ABE=R+ABE, and ABD = EBD ~ABE=R- ABE. .-. (Ax. 2) ABC+ABD = 2R. 5 BD E Proposition 16. Theorem. — If at a point in a straight line, two other straight lines on opposite sides of it, make the adjacent angles equal to two right angles, these two lines are in...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...DBA, ABC = Z. s CBE, EBD = two rt. L s. Wherefore the angles, &c. — QED PROPOSITION XIV., THEOREM 7. If at a point in a straight line two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...hypothesis BD = DC, and AB = AC. .'. By prop. 4 the triangles ABD, ACD are equal in every respect. QED 3. If at a point in a straight line, two other straight...adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. Prop. 14, Bk. I. Needlework....
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...DC, and AB = AC. .'. By prop. 4 the triangles ABD, ACD are equal in every respect. QED BL) 3. If ata point in a straight line, two other straight lines,...adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. Prop. 14, Bk. I. Needlework....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...ADF G_ B " CKHM And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KH is in the same straight line with HM. [I. 14. And because the straight line HO- meets the parallels...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...the angles made by these lines taken consecutively, amount to four -:-'ht angles. PROP. 14. THEOR. If, at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, the two straight...
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