The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical GaugingS. Birt, 1747 - 480 σελίδες |
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Σελίδα 34
... Bafe was 4 Inches , and it's Depth 14 Inches ; fo that it's juft Con- tent was 224 Cubick Inches . This Veffel was produced at Guild- Hall in London ( May 25 , 1688. ) before the Lord - Mayor , the Commiffioners of Excife , the Reverend ...
... Bafe was 4 Inches , and it's Depth 14 Inches ; fo that it's juft Con- tent was 224 Cubick Inches . This Veffel was produced at Guild- Hall in London ( May 25 , 1688. ) before the Lord - Mayor , the Commiffioners of Excife , the Reverend ...
Σελίδα 289
... Bafe ; the other two are only called Sides or Legs . 8. The Altitude or height of any Plain Triangle , is the Length of a Right Line let fall perpendicular from any of its Angles , upon the Side oppofite to that Angle from whence it ...
... Bafe ; the other two are only called Sides or Legs . 8. The Altitude or height of any Plain Triangle , is the Length of a Right Line let fall perpendicular from any of its Angles , upon the Side oppofite to that Angle from whence it ...
Σελίδα 309
... Bafe and Perpendicular . For B XC the Area of the whole Pa- rallelogram , by the first Lemma . And A BCH + AbcHthe Parallelogram ; but Bb , and Cc . Therefore , BXC = the Area of each ^ , viz . 1 BXC + ; b X c B x C. H B Thefe Things ...
... Bafe and Perpendicular . For B XC the Area of the whole Pa- rallelogram , by the first Lemma . And A BCH + AbcHthe Parallelogram ; but Bb , and Cc . Therefore , BXC = the Area of each ^ , viz . 1 BXC + ; b X c B x C. H B Thefe Things ...
Σελίδα 312
... Bafe ( BA ) is a Mean proportional between the Hypothe- nufe ( B C ) and that Segment of the Hypothenufe next to the Bale , ( viz . BP ) that is , BC : BA :: BA : BP . 3. The Cathetus ( AC ) is a Mean A P proportional between the ...
... Bafe ( BA ) is a Mean proportional between the Hypothe- nufe ( B C ) and that Segment of the Hypothenufe next to the Bale , ( viz . BP ) that is , BC : BA :: BA : BP . 3. The Cathetus ( AC ) is a Mean A P proportional between the ...
Σελίδα 317
... Bafe , or upon equal Bafes , and betwixt the fame Paral- lels , are equal to one another . ( 35. & 36. e . 1. ) That is , ABCD ab CD . Demonstration . - = A B a b Because ABCD a b , by Suppofition , therefore Aa = Bb ; for Ba is common ...
... Bafe , or upon equal Bafes , and betwixt the fame Paral- lels , are equal to one another . ( 35. & 36. e . 1. ) That is , ABCD ab CD . Demonstration . - = A B a b Because ABCD a b , by Suppofition , therefore Aa = Bb ; for Ba is common ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
alfo Amount Angles Anſwer Arch Area Arithmetick Bafe becauſe Cafe call'd Cathetus Circle Circle's Confequently Cube Cubick Inches Cyphers Decimal defcribe Demonftration Denomination Diameter Difference divided Dividend Divifion Divifor eafily eafy eaſy Ellipfis equal Equation Example Extreams faid fame fecond feven feveral fhall fhew fingle firft firft Term firſt fome Fractions Fruftum ftand fubtract fuch Gallons Geometrical given hath Height Hence Hyperbola infinite Series Intereft juft laft Latus Rectum leffer lefs Lemma Logarithm Meaſure muft multiply muſt Number of Terms Parabola Parallelogram Periphery Perpendicular Places of Figures plain Point Pound Product Progreffion propofed Proportion Quantities Queft Queſtion Radius Reafon Refolvend reft Right Line Right-angled Right-line Root Rule Sect Segment Series Side Sine Square Suppofe Surd Tangent thefe Theorem theſe thofe thoſe Tranfverfe Triangle Troy Weight ufually Uncia uſeful Vulgar Fractions whofe whole Numbers
Δημοφιλή αποσπάσματα
Σελίδα 467 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 217 - Man playing at hazard won at the first throw as much money as he had in his pocket ; at the second throw he won 5 shillings more than the square root of what he then had ; at the third throw he won the square of all he then had ; and then he had ill 2. 16«.
Σελίδα 471 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 138 - If equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produits will be equal.
Σελίδα 106 - The particular Rates of all the Ingredients propofed to be mixed, the Mean Rate of the whole Mixture, and any one of the Quantities to be mixed being given: Thence to find how much of every one of the other Ingredients is requifite to compofe the Mixture.
Σελίδα 90 - If 2 men can do 12 rods of ditching in 6 days ; how many rods may be done by 8 men in 24 days ? Ans.
Σελίδα 23 - The original of all weights, used in England, was a grain or corn of wheat, gathered out of the middle of the ear ; and being well dried, 32 of them were to make one pennyweight, 20 pennyweights one ounce, and 12 ounces one pound. But, in later times, it was thought sufficient to divide the same pennyweight into 24 equal parts, still called grains, being the least weight now in common use; and from hence the rest are computed.
Σελίδα 470 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα 180 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Σελίδα 471 - FG 5 that is in Words, half the Sum of the Legs, Is to half their Difference, As the Tangent of half the Sum of the oppofite Angles, Is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs, Is...