Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
Dentro del libro
Resultados 1-5 de 68
Página 1
... half the angle ABC , by construction . The angle BAD is equal to half the angle ABC , by hypothesis . Therefore the angle DBA is equal to the angle BAD . Therefore BD is equal to AD by I. 6 . 6. It is shewn in the demonstration of I. 5 ...
... half the angle ABC , by construction . The angle BAD is equal to half the angle ABC , by hypothesis . Therefore the angle DBA is equal to the angle BAD . Therefore BD is equal to AD by I. 6 . 6. It is shewn in the demonstration of I. 5 ...
Página 3
... half the angle BAC , and the angle BAE is half the angle BAG , the two angles BAD and BAE together are half the two angles BAC and BAG together . But the angles BAC and BAG together are equal to two right angles , by I. 13 ; therefore ...
... half the angle BAC , and the angle BAE is half the angle BAG , the two angles BAD and BAE together are half the two angles BAC and BAG together . But the angles BAC and BAG together are equal to two right angles , by I. 13 ; therefore ...
Página 4
... half the sum of AB , BC , and CA. 23. Let ABCD be a quadrilateral figure . Draw the diagonals AC and BD . Then AB and BC are greater than AC , and AD and DC are greater than AC ; therefore the four sides AB , BC , CD , DA are greater ...
... half the sum of AB , BC , and CA. 23. Let ABCD be a quadrilateral figure . Draw the diagonals AC and BD . Then AB and BC are greater than AC , and AD and DC are greater than AC ; therefore the four sides AB , BC , CD , DA are greater ...
Página 8
... half the angle A. Bisect the angle A by a straight line meeting the base BC at F. Then the triangles BAF , CAF are equal in all respects , by I. 4 ; and therefore the angle AFB is a right angle . Then in the triangles BAF , BCE the ...
... half the angle A. Bisect the angle A by a straight line meeting the base BC at F. Then the triangles BAF , CAF are equal in all respects , by I. 4 ; and therefore the angle AFB is a right angle . Then in the triangles BAF , BCE the ...
Página 9
... half the angle ABC , and the angle CBD is half the angle CBH ; therefore the angles EBC and CBD are together half the angles ABC and CBH , that is equal to a right angle , by I. 13 : thus EBD is a right angle . Similarly ECD is a right ...
... half the angle ABC , and the angle CBD is half the angle CBH ; therefore the angles EBC and CBD are together half the angles ABC and CBH , that is equal to a right angle , by I. 13 : thus EBD is a right angle . Similarly ECD is a right ...
Otras ediciones - Ver todas
Términos y frases comunes
ABCD AC and BD AC is equal angle ABC angle ACB angle BAC angle CAB bisects the angle Cambridge centre chord circle described circumference Crown 8vo describe a circle diameter draw a straight Edition equal to BC equal to four equal to half equal to twice equiangular Euclid Exercise 176 Extra fcap fcap fore given circle given point given straight line greater half a right half the angle Hence Let ABC meeting BC middle point Owens College parallel to BC parallelogram perpendicular plane Professor quadrilateral radius equal rectangle rhombus right angles segment shewn side BC square on BC straight line parallel suppose tangent touch the circle triangle ABC twice the angle twice the rectangle twice the squares
Pasajes populares
Página 41 - TAYLOR— WORDS AND PLACES; or, Etymological Illustrations of History, Ethnology, and Geography. By the Rev. ISAAC TAYLOR, MA Third and cheaper Edition, revised and compressed. With Maps. Globe 8vo. 6s.
Página 16 - PHYSICS. LESSONS IN ELEMENTARY PHYSICS. By BALFOUR STEWART, FRS, Professor of Natural Philosophy in Owens College, Manchester. With numerous Illustrations and Chromolitho of the Spectra of the Sun, Stars, and Nebulae. New Edition. Fcap. 8vo. 4*. 6d. "The beau-ideal of a scientific text-book, clear, accurate, and thorough.
Página 15 - Owens College, Manchester. With numerous Illustrations and Chromo-Litho of the Solar Spectrum, and of the Alkalies and Alkaline Earths. New Edition. Fcap. 8vo. 4*. 6d. " As a standard general text-book it deserves to take a leading place."— SPECTATOR. " We unhesitatingly pronounce it the best of all our elementary treatises on Chemistry,"— MEDICAL TIMSs.
Página 2 - Astronomer Royal :— ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams. Second Edition. Crown 8vo. f,s. 6d. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Página 1 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Página 13 - SCIENCE. SCIENCE PRIMERS FOR ELEMENTARY SCHOOLS. Under the joint Editorship of Professors HUXLEY, ROSCOE, and BALFOUR STEWART. "These Primers are extremely simple and attractive, and thoroughly answer their purpose of just leading the young beginner up to the threshold of the long avenues in the Palace of Nature which these titles suggest.
Página 40 - VI. Crown 8vo. (430 pp.) 2s. Book VI. is fitted for higher Classes, and as an Introduction to English Literature. "They are far above any others that have appeared both in form and substance. . . . The editor of the present series has rightly seen that reading books must ' aim chiefly at giving to the pupils the power pi accurate, and, if possible, apt and skilful expression ; at cultivating in them a good literary taste, and at arousing a desire of further reading, This is done by taking care to...
Página 4 - CLIFFORD- THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Página 19 - Flower (WH) — AN INTRODUCTION TO THE OSTEOLOGY OF THE MAMMALIA. Being the Substance of the Course of Lectures delivered at the Royal College of Surgeons of England in 1870.
Página 110 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.