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" In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 137
by Charles Reiner - 1837 - 215 pages
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 22

1878 - 632 pages
...the side subtending either of the acute angles, is less than the squares of the sides containing tlmt angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. In equal circles, equal...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. If a straight line touch a circle,...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any A, and /. B one of its...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 pages
...square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 5. Why cannot we satisfactorily demonstrate...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,...
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The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879 - 158 pages
...the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. I. II. Majorca Iceland...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of...sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either...sides and the straight line intercepted between the acute angle and the perpendicular let fall on such side from the opposite angle. ABC is an isosceles...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...the side opposite an acute angle, is less than the sum of the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the line between the acute angle and the foot of the perpendicular falling on this side from the opposite...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC beiany triangle, and the angle...
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