The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 83
... Zs and one side similarly placed with respect to the equal < 8 . ( XXVI . ) If two As have two sides of the one ... right 28 . * Twos are said to be supplementary when they are together equal to two rights . They are said to be com- ...
... Zs and one side similarly placed with respect to the equal < 8 . ( XXVI . ) If two As have two sides of the one ... right 28 . * Twos are said to be supplementary when they are together equal to two rights . They are said to be com- ...
Σελίδα 91
... right Zs , and therefore it is impossible that the two s BFL and FL D should be together greater than two rights . Hence , as the s BFL and FLD can be neither less than two right s nor greater than two rights , they must together be ...
... right Zs , and therefore it is impossible that the two s BFL and FL D should be together greater than two rights . Hence , as the s BFL and FLD can be neither less than two right s nor greater than two rights , they must together be ...
Σελίδα 122
... rights , those two straight lines lie in one and the same straight line . ( Prop . XIV . ) 4. That if two parallel straight lines be inter- sected by a third straight line , the two interior Zs are together equal to two rights . ( Prop ...
... rights , those two straight lines lie in one and the same straight line . ( Prop . XIV . ) 4. That if two parallel straight lines be inter- sected by a third straight line , the two interior Zs are together equal to two rights . ( Prop ...
Σελίδα 124
... rights . We have therefore two right lines , G H and MH , meeting a third right line , KH , at the same point H , and on opposite sides of the line KH , and the two adjacents so formed are together equal to two right Zs . It follows ...
... rights . We have therefore two right lines , G H and MH , meeting a third right line , KH , at the same point H , and on opposite sides of the line KH , and the two adjacents so formed are together equal to two right Zs . It follows ...
Σελίδα 126
... right Zs . From the point A draw the line AE at rights to A B , and cut off from it a part A C , equal to A B. Through the point C draw a straight line CD parallel to A B. Through B draw a straight line parallel to A C , and meeting the ...
... right Zs . From the point A draw the line AE at rights to A B , and cut off from it a part A C , equal to A B. Through the point C draw a straight line CD parallel to A B. Through B draw a straight line parallel to A C , and meeting the ...
Άλλες εκδόσεις - Προβολή όλων
The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B is equal A C and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed given finite right given line given point given rectilineal given straight line gnomon greater half a right hypotenuse interior and opposite isosceles Join the points join two given Jugurtha Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal
Δημοφιλή αποσπάσματα
Σελίδα 13 - CARPENTER'S (Dr. WB) Zoology. A Systematic View of the Structure, Habits, Instincts, and Uses of the principal Families of the Animal Kingdom, and of the chief Forms of Fossil Remains. Revised by WS Dallas, FLS Numerous Woodcuts. 2 vols. 6s. each. — Mechanical Philosophy, Astronomy, and Horology. A Popular Exposition. 181 Woodcuts. CARPENTER'S Works.— Continued. — Vegetable Physiology and Systematic Botany.
Σελίδα 12 - DONALDSON'S The Theatre of the Greeks. A Treatise on the History and Exhibition of the Greek Drama. With numerous Illustrations and 3 Plans. By John William Donaldson, DD 5*. DRAPER'S History of the Intellectual Development of Europe.
Σελίδα 144 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 149 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC...
Σελίδα 7 - Second French Book ; being a Grammar and Exercise Book, on a new and practical plan, and intended as a sequel to the
Σελίδα 152 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα 12 - Social advancement is as completely under the control of natural law as is bodily growth. The life of an individual is a miniature of the life of a nation.
Σελίδα 6 - The Enunciations and Figures belonging to the Propositions in the First Six and part of the Eleventh Books of Euclid's Elements, (usually read in the Universities,) prepared for Students in Geometry. By the Rev. J. Brasse, DD New Edition. Fcap. 8vo. Is. On cards, iu case, 5s.
Σελίδα 11 - Long. 5 vols. 8vo. 14s. each. A History of England during the Early and Middle Ages. By CH Pearson, MA 2nd Edition revised and enlarged.
Σελίδα 16 - Dr. Richardson's Philological Dictionary of the ENGLISH LANGUAGE. Combining Explanation with Etymology, and copiously illustrated by Quotations from the Best Authorities. New Edition, with a Supplement containing additional Words and further Illustrations. In 2 vols. 4to.