The first and second books of Euclid explained to beginners, by C.P. Mason |
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Side 51
... exterior angle is greater than either of the interior opposite * angles . For the construction employed in this proposition we must be able , — * That is , not adjacent to the exterior angle . A 1. To join two given points by a right ...
... exterior angle is greater than either of the interior opposite * angles . For the construction employed in this proposition we must be able , — * That is , not adjacent to the exterior angle . A 1. To join two given points by a right ...
Side 52
... exterior CB D. We must first take the ACB , which is opposite to the side A B which has been produ • In order to compare it with the CBD , make the following construction : - Bisect the line CB in the point E. Join the points A and E by ...
... exterior CB D. We must first take the ACB , which is opposite to the side A B which has been produ • In order to compare it with the CBD , make the following construction : - Bisect the line CB in the point E. Join the points A and E by ...
Side 53
... exterior is greater than that one of the interiors which is opposite to the side produced . It still remains to be shown that the CAB is also less than the CBD . The CAB cannot be compared directly with the CBD ; but , by producing the ...
... exterior is greater than that one of the interiors which is opposite to the side produced . It still remains to be shown that the CAB is also less than the CBD . The CAB cannot be compared directly with the CBD ; but , by producing the ...
Side 54
... exterior by producing the side A B. CBD , formed Let this proposition now be demonstrated with the follow- ing variations of the figure : - C 1. Produce the side BA to any point M , and prove that the ACB is less than the CAM . The ...
... exterior by producing the side A B. CBD , formed Let this proposition now be demonstrated with the follow- ing variations of the figure : - C 1. Produce the side BA to any point M , and prove that the ACB is less than the CAM . The ...
Side 55
... exterior is that of the △ which is opposite the side produced . For making the necessary construction , bisect that side of the which is one of the sides containing the exterior . Join the bisecting point with the opposite vertex of ...
... exterior is that of the △ which is opposite the side produced . For making the necessary construction , bisect that side of the which is one of the sides containing the exterior . Join the bisecting point with the opposite vertex of ...
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The first and second books of Euclid explained to beginners, by C.P. Mason Euclid,Charles Peter Mason Uten tilgangsbegrensning - 1872 |
The first and second books of Euclid explained to beginners, by C.P. Mason Euclid,Charles Peter Mason Uten tilgangsbegrensning - 1872 |
The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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...
Side 7 - Second French Book ; being a Grammar and Exercise Book, on a new and practical plan, and intended as a sequel to the
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.