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" If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 90
by Dennis M'Curdy - 1846 - 138 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, find the sides about the equal angles proportionals, the triangles shaU be equiangular,...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...proportion. PROP. I. — Triangles of the same altitude are one to the other, as their bases. PROP. VI. — If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular,...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...less than a right angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportionals, and if each of the remaining...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...perpendicular to the line touching the circle. Voluntary Portion. 1. To inscribe a square in a given circle. 2. If two triangles have one angle of the one equal to one angle of the other and the sides about the equal angles proportionals, the triangles shall be equiangular...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...Ax. 3, 1. 5 D. 2. & H. 6 22, V. 7 6, VI. 8 Sim. 9 Cone. 10 H. 11 22, V. 16, V. PROP. 7. — THEOR. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then, if each of the remaining...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pages
...and the other two sides produced. Also describe a circle touching three sides of a parallelogram. 6. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the, triangle shall be equiangular,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...triangle ABC iB equiangular to the triangle DEF. Wherefore, if two angles, &c. QED PROP. VII.— THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then if each of the remaining...
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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - Dick bequest for elevating the character and position of the parochial schools and schoolmasters in the counties of Aberdeen, Banff and Moray - 1865 - 432 pages
...to two right angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proper tionals, the triangles shall be equiangular....
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - Mathematics - 1866 - 428 pages
...of a quadrilateral described about a circle are together equal to the other two opposite sides. 5. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular,...
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