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Page "Euclid" ¶ 13
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On and Divisions
On 29 June, he ordered XXX Corps — South African 1st, Indian 5th and 10th Infantry Divisions — to take the coastal sector on the right of the front and XIII Corps — New Zealand and Indian 5th Divisions — to be on the left.
On 13 December, the 6th and the 116th Divisions of the Japanese Army were the first to enter the city, facing little military resistance.
On 5 September, Model's forces were bolstered by the arrival of the II SS Panzer Corps, which consisted of the 9th SS and 10th SS Panzer Divisions under the command of Lieutenant General Wilhelm Bittrich.
On 16 September ULTRA decrypts revealed the movement of 9th and 10th SS Panzer Divisions to Nijmegen and Arnhem, creating enough concern for Eisenhower to send his Chief of Staff, Lieutenant General Walter Bedell Smith, to raise the issue with Montgomery on 10 September ; however, Montgomery dismissed Smith's concerns and refused to alter the plans for the landing of 1st Airborne Division at Arnhem.
With a comprehensive work on Dialectic ( τῆς περὶ τὸ διαλέγεσθαι πραγματείας βιϐλία ιδ ΄) there were also separate treatises On Knowledge, On Knowledgibility ( περὶ ἐπιστήμης α ΄, περὶ ἐπιστημοσύνης α ΄), On Divisions ( διαιρέσεις η ΄), On Genera and Species ( περὶ γενῶν καὶ εἰδῶν α ΄), On Ideas ( περὶ ἰδεῶν ), On the Opposite ( περὶ τοῦ ἐναντίου ), and others, to which probably the work On Mediate Thought ( τῶν περὶ τὴν διάνοιαν η ΄) also belonged.
On 8 December U. S. 3rd, 36th Infantry Divisions and 1st Special Service Force of U. S. II Corps launched the attack on Monte Sambúcaro and into the Mignano Gap.
On 12 June the British 7th Armoured Division passed through the gap heading for Villers-Bocage and the ridge beyond, while the US 1st and 2nd Infantry Divisions launched their own attacks in support.
On 14 February, the 10th and 21st Panzer Divisions attacked Sidi Bou Zid, about west of Faïd in the interior plain of the Atlas Mountains.
On formation, Chetwode's Desert Column consisted of three infantry divisions, the 53rd ( Welsh ) Division currently serving in the Suez Canal Defences ) and commanded by A. E. Dallas, the 42nd ( East Lancashire ) and the 52nd ( Lowland ) Divisions.
On 21 December 42nd and 52nd Divisions marched from Kilo 128 to Bardawil and continued to move eastwards towards Masaid.
On 4 July the 3rd Canadian Division, along with the British 3rd and 59th Divisions supported by the 79th Armoured Division launched Operation Windsor, and captured the Carpiquet Airfield and the surrounding areas from the 12th SS after several hours of confused and hard fighting.
On the extreme right was the chateau, garden, and orchard of Hougoumont which was defended by the Divisions 2nd Brigade.
On the afternoon of 17 December, Eisenhower decided to commit his theater reserve to the Ardennes in an attempt to halt the German advance ; this consisted of the 17th, 82nd and 101st Airborne Divisions under the control of XVIII Airborne Corps.
On 16 September 1917, six weeks after the fighting at Ypres had begun, the 1st and 2nd Divisions took up position at Glencorse Wood under the cover of darkness.
On 26 September the 4th and 5th Divisions, which had been attached to I ANZAC for the fighting around Polygon Wood carried out a successful attack in which they managed to capture both Polygon Wood and parts of Zonnebeke.
On August 15, 1943, an invasion force consisting of 34, 426 Allied troops, including elements of the 7th Infantry Division, 4th Infantry Regiment, 87th Mountain Infantry Regiment, 5, 300 Canadians ( the 6th and 7th Infantry Divisions ), 95 ships ( including three battleships and a heavy cruiser ), and 168 aircraft landed on Kiska, only to find the island completely abandoned.
On 18 July, at a cost of 5, 000 casualties, the American 29th and 35th Infantry Divisions managed to gain the vital heights of Saint-Lô, driving back General der Fallschirmtruppen Eugen Meindl's II Parachute Corps.

On and Figures
* 1900: Thorold Gosset enumerated the list of semiregular convex polytopes with regular cells ( Platonic solids ) in his publication On the Regular and Semi-Regular Figures in Space of n Dimensions, including one regular cubic honeycomb, and two semiregular forms with tetrahedra and octahedra.
On the ensuing kickoff, Pittsburgh surprised the Cowboys by executing a successful onside kick, with defensive back Deon Figures recovering the ball for Pittsburgh at their own 47-yard line.
* On Rhetoric and Rhetorical Figures, an Alphabetical Selection of Phrases, intended to serve as a guide to the acquirement of a pure Attic style — the first example of an Atticist lexicon, mentioned by Suidas in the preface to his lexicon as one of his authorities ;
* On the Firing Line: The Public Life of Our Public Figures, by William F. Buckley ( New York: Random House, 1989 ), ISBN 0-394-57568-7.
His more general consideration of light as a primary agent of physical causation appears in his On Lines, Angles, and Figures where he asserts that " a natural agent propagates its power from itself to the recipient " and in On the Nature of Places where he notes that " every natural action is varied in strength and weakness through variation of lines, angles and figures.

On and which
On a shelf in the office behind the counter was a small radio dialed permanently on a station which broadcast only vulgar commercials and cheap popular music.
On her bureau lay a small, brass ornament of simple design and faded engraving -- an object which, Pamela believed now, had been the property of her great-grandfather, Major Hiram Munroe Culver.
On Fridays, the day when many Persians relax with poetry, talk, and a samovar, people do not, it is true, stream into Chehel Sotun -- a pavilion and garden built by Shah Abbas 2, in the seventeenth century -- but they do retire into hundreds of pavilions throughout the city and up the river valley, which are smaller, more humble copies of the former.
One beat poet composes a poem, `` Lines On A Tijuana John '', which contains a few happy hints for survival.
On the other hand, we cannot regard artistic invention as pure, uncaused, and unrelated to the times in which it occurs.
On the eve of his return to their native Naxos he speaks with his wife of the masterpiece which rises before them in its completed perfection.
On Christmas Eve, students brought out two small Christmas trees which I placed on either side of the tent.
On the way out Mr. Sakellariadis detoured up a special hill from which one may obtain a matchless view of the Acropolis lighted by night.
On the contrary, the frenzy and furor of combat is only the sombre foil against which the sudden illuminations of the human flash forth with the piercing radiance of a Caravaggio.
On the eve of the `` great debate '' on the proposal to give the President broad powers to make across-the-board tariff concessions which could practically bring us into the Atlantic Community, we should face the alternatives on this proposition.
On these excursions, Papa instructed him on man's chief end, which was his duty to God and his own salvation.
On the basis of the findings which led to this conclusion, the Court remanded the case to the District Court to determine the appropriate relief.
On the other side of the Golden Horn I rode through Eminonu Square, with Yeni Cami, or the New Mosque, which dates from the Seventeenth Century, just across from the entrance to the bridge.
On this, she builds an `` egg compartment '' or `` egg cell '' which is filled with that famous pollen-and-nectar mixture called beebread.
On these generators let Af and Af be, respectively, the harmonic conjugates of Af and Af with respect to the two points in which the corresponding generator meets Aj.
On C there is a Af correspondence in which the Af points cut from C by a general line, l, of the pencil correspond to the point of intersection of the image of L and the plane of the pencil.
On review the Supreme Court, via Mr. Justice Frankfurter, found southern racial problems `` a sensitive area of social policy on which the federal courts ought not to enter unless no alternative to adjudication is open ''.
On the other hand, there is a counterbalancing purpose in education which is to pass on the advantages of the parents to their children.
On these pillars rested that solid basis for life and thought which was soon to be manifested in the remarkably unlimited ken of the Iliad.
On Wednesday evening, November 23, 1859, in Warren, Rev. Mark Trafton of New Bedford, gave a `` Mission of Sympathy '' lecture in which he favorably viewed the Harper's Ferry insurrection.
On the right is the Brumidi Liberty group, as it looked after cleaning operations, which had not yet come around to the other end ; ;
On the second voyage, he had turned back at the frozen island of Novaya Zemlya and meekly given the crew a certificate stating that he did so of his own free will -- which was obviously not the case.
On July 14 the Security Council -- with France and Great Britain abstaining -- voted the resolution which drew the U.N. into the Congo.
On the Latin American front, the President held talks with Secretary of the Treasury Douglas Dillon before sending him to Uruguay and the Inter-American Economic and Social Council ( which the President himself had originally hoped to attend ).
On the other hand, if she didn't remove her own things, it would be difficult to explain to the parade of guests which traversed the apartment.

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