Elementary Geometry ... |
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Page 9
... half a straight angle , and a straight line makes with its continuation at any point an angle of two right angles . Def . 15. A perpendicular to a straight line is a straight line that makes a right angle with it . Def . 16. An acute ...
... half a straight angle , and a straight line makes with its continuation at any point an angle of two right angles . Def . 15. A perpendicular to a straight line is a straight line that makes a right angle with it . Def . 16. An acute ...
Page 13
... half the angle DBC ; and the angle PRS is half the angle QRS ; and the halves of equals are equal ; therefore the right angle ABC is equal to the right angle PRS . Q. E. D. COR . I. At a given point in a given straight line there can be ...
... half the angle DBC ; and the angle PRS is half the angle QRS ; and the halves of equals are equal ; therefore the right angle ABC is equal to the right angle PRS . Q. E. D. COR . I. At a given point in a given straight line there can be ...
Page 39
... half the sum of the two sides . Let D be the middle point of AC , then is BD less than half the sum of AB , BC . Proof . Produce BD to B ' , making DB ' = DB . Join AB ' . Then since the two triangles BDC , B'DA have two sides BD , DC ...
... half the sum of the two sides . Let D be the middle point of AC , then is BD less than half the sum of AB , BC . Proof . Produce BD to B ' , making DB ' = DB . Join AB ' . Then since the two triangles BDC , B'DA have two sides BD , DC ...
Page 40
... half the sum of AB + BC + CA. 5. Prove that the sum of the four sides of a quadrilateral figure is greater than the sum and less than twice the sum of the diagonals . 6. If ABC is a triangle in which AB is greater than AC , and D is the ...
... half the sum of AB + BC + CA. 5. Prove that the sum of the four sides of a quadrilateral figure is greater than the sum and less than twice the sum of the diagonals . 6. If ABC is a triangle in which AB is greater than AC , and D is the ...
Page 56
... half of - 17 . t whin the So Mara Bilbo pổ , night angle . sh line tha : bisect the dpa eh , ka , a cho sing diy desk , loc ^ question . ཨི ཙྪཱ ། ཎྞཾ ཝིན ནི 4. The perpendiculars let fall from the extremities of the ALLELTET ALCOL53 ...
... half of - 17 . t whin the So Mara Bilbo pổ , night angle . sh line tha : bisect the dpa eh , ka , a cho sing diy desk , loc ^ question . ཨི ཙྪཱ ། ཎྞཾ ཝིན ནི 4. The perpendiculars let fall from the extremities of the ALLELTET ALCOL53 ...
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Common terms and phrases
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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